Critica

lvaluesofth

et-distribution

0.1

0.075

0.07

0.06

0.05

0.045

0.04

0.035

0.03

0.025

0.02

0.015

0.01

0.005

1−3.0777

−4.1653

−4.4737

−5.2422

−6.3138

−7.0264

−7.9158

−9.0579

−10.5790

−12.7060

−15.8950

−21.2050

−31.8210

−63.6570

2−1.8856

−2.2819

−2.3834

−2.6202

−2.9200

−3.1040

−3.3198

−3.5782

−3.8964

−4.3027

−4.8487

−5.6428

−6.9646

−9.9248

3−1.6377

−1.9243

−1.9950

−2.1562

−2.3534

−2.4708

−2.6054

−2.7626

−2.9505

−3.1824

−3.4819

−3.8960

−4.5407

−5.8409

4−1.5332

−1.7782

−1.8375

−1.9712

−2.1318

−2.2261

−2.3329

−2.4559

−2.6008

−2.7764

−2.9985

−3.2976

−3.7469

−4.6041

5−1.4759

−1.6994

−1.7529

−1.8727

−2.0150

−2.0978

−2.1910

−2.2974

−2.4216

−2.5706

−2.7565

−3.0029

−3.3649

−4.0321

6−1.4398

−1.6502

−1.7002

−1.8117

−1.9432

−2.0192

−2.1043

−2.2011

−2.3133

−2.4469

−2.6122

−2.8289

−3.1427

−3.7074

7−1.4149

−1.6166

−1.6643

−1.7702

−1.8946

−1.9662

−2.0460

−2.1365

−2.2409

−2.3646

−2.5168

−2.7146

−2.9980

−3.4995

8−1.3968

−1.5922

−1.6383

−1.7402

−1.8595

−1.9280

−2.0042

−2.0902

−2.1892

−2.3060

−2.4490

−2.6338

−2.8965

−3.3554

9−1.3830

−1.5737

−1.6185

−1.7176

−1.8331

−1.8992

−1.9727

−2.0554

−2.1504

−2.2622

−2.3984

−2.5738

−2.8214

−3.2498

10

−1.3722

−1.5592

−1.6031

−1.6998

−1.8125

−1.8768

−1.9481

−2.0283

−2.1202

−2.2281

−2.3593

−2.5275

−2.7638

−3.1693

11

−1.3634

−1.5476

−1.5906

−1.6856

−1.7959

−1.8588

−1.9284

−2.0067

−2.0961

−2.2010

−2.3281

−2.4907

−2.7181

−3.1058

12

−1.3562

−1.5380

−1.5804

−1.6739

−1.7823

−1.8440

−1.9123

−1.9889

−2.0764

−2.1788

−2.3027

−2.4607

−2.6810

−3.0545

13

−1.3502

−1.5299

−1.5718

−1.6641

−1.7709

−1.8317

−1.8989

−1.9742

−2.0600

−2.1604

−2.2816

−2.4358

−2.6503

−3.0123

14

−1.3450

−1.5231

−1.5646

−1.6558

−1.7613

−1.8213

−1.8875

−1.9617

−2.0462

−2.1448

−2.2638

−2.4149

−2.6245

−2.9768

15

−1.3406

−1.5172

−1.5583

−1.6487

−1.7531

−1.8123

−1.8777

−1.9509

−2.0343

−2.1314

−2.2485

−2.3970

−2.6025

−2.9467

16

−1.3368

−1.5121

−1.5529

−1.6425

−1.7459

−1.8046

−1.8693

−1.9417

−2.0240

−2.1199

−2.2354

−2.3815

−2.5835

−2.9208

17

−1.3334

−1.5077

−1.5482

−1.6370

−1.7396

−1.7978

−1.8619

−1.9335

−2.0150

−2.1098

−2.2238

−2.3681

−2.5669

−2.8982

18

−1.3304

−1.5037

−1.5439

−1.6322

−1.7341

−1.7918

−1.8553

−1.9264

−2.0071

−2.1009

−2.2137

−2.3562

−2.5524

−2.8784

19

−1.3277

−1.5002

−1.5402

−1.6280

−1.7291

−1.7864

−1.8495

−1.9200

−2.0000

−2.0930

−2.2047

−2.3456

−2.5395

−2.8609

20

−1.3253

−1.4970

−1.5369

−1.6242

−1.7247

−1.7816

−1.8443

−1.9143

−1.9937

−2.0860

−2.1967

−2.3362

−2.5280

−2.8453

21

−1.3232

−1.4942

−1.5338

−1.6207

−1.7207

−1.7773

−1.8397

−1.9092

−1.9880

−2.0796

−2.1894

−2.3278

−2.5176

−2.8314

22

−1.3212

−1.4916

−1.5311

−1.6176

−1.7171

−1.7734

−1.8354

−1.9045

−1.9829

−2.0739

−2.1829

−2.3202

−2.5083

−2.8188

23

−1.3195

−1.4893

−1.5286

−1.6148

−1.7139

−1.7699

−1.8316

−1.9003

−1.9782

−2.0687

−2.1770

−2.3132

−2.4999

−2.8073

24

−1.3178

−1.4871

−1.5263

−1.6122

−1.7109

−1.7667

−1.8281

−1.8965

−1.9740

−2.0639

−2.1715

−2.3069

−2.4922

−2.7969

25

−1.3163

−1.4852

−1.5242

−1.6098

−1.7081

−1.7637

−1.8248

−1.8929

−1.9701

−2.0595

−2.1666

−2.3011

−2.4851

−2.7874

26

−1.3150

−1.4834

−1.5223

−1.6076

−1.7056

−1.7610

−1.8219

−1.8897

−1.9665

−2.0555

−2.1620

−2.2958

−2.4786

−2.7787

27

−1.3137

−1.4817

−1.5205

−1.6056

−1.7033

−1.7585

−1.8191

−1.8867

−1.9632

−2.0518

−2.1578

−2.2909

−2.4727

−2.7707

28

−1.3125

−1.4801

−1.5189

−1.6037

−1.7011

−1.7561

−1.8166

−1.8839

−1.9601

−2.0484

−2.1539

−2.2864

−2.4671

−2.7633

29

−1.3114

−1.4787

−1.5174

−1.6020

−1.6991

−1.7540

−1.8142

−1.8813

−1.9573

−2.0452

−2.1503

−2.2822

−2.4620

−2.7564

30

−1.3104

−1.4774

−1.5159

−1.6004

−1.6973

−1.7520

−1.8120

−1.8789

−1.9546

−2.0423

−2.1470

−2.2783

−2.4573

−2.7500

z−1.2816

−1.4395

−1.4758

−1.5548

−1.6449

−1.6954

−1.7507

−1.8119

−1.8808

−1.9600

−2.0537

−2.1701

−2.3263

−2.5758

Area Under t-distribution to the Left of t =x− µs/√n

1 degree(s) of freedom−3.40 0.0911 −2.64 0.1153 −1.88 0.1556 −1.12 0.2320 −0.36 0.3900 0.40 0.6211 1.16 0.7735 1.92 0.8472 2.68 0.8863−3.39 0.0913 −2.63 0.1157 −1.87 0.1563 −1.11 0.2334 −0.35 0.3928 0.41 0.6239 1.17 0.7749 1.93 0.8478 2.69 0.8867−3.38 0.0916 −2.62 0.1161 −1.86 0.1570 −1.10 0.2349 −0.34 0.3957 0.42 0.6266 1.18 0.7762 1.94 0.8485 2.70 0.8871−3.37 0.0918 −2.61 0.1165 −1.85 0.1577 −1.09 0.2363 −0.33 0.3985 0.43 0.6293 1.19 0.7775 1.95 0.8492 2.71 0.8875−3.36 0.0921 −2.60 0.1169 −1.84 0.1585 −1.08 0.2378 −0.32 0.4014 0.44 0.6319 1.20 0.7789 1.96 0.8498 2.72 0.8879−3.35 0.0923 −2.59 0.1173 −1.83 0.1592 −1.07 0.2392 −0.31 0.4043 0.45 0.6346 1.21 0.7802 1.97 0.8505 2.73 0.8882−3.34 0.0926 −2.58 0.1177 −1.82 0.1599 −1.06 0.2407 −0.30 0.4072 0.46 0.6372 1.22 0.7814 1.98 0.8511 2.74 0.8886−3.33 0.0929 −2.57 0.1181 −1.81 0.1607 −1.05 0.2422 −0.29 0.4102 0.47 0.6399 1.23 0.7827 1.99 0.8518 2.75 0.8890−3.32 0.0931 −2.56 0.1185 −1.80 0.1614 −1.04 0.2438 −0.28 0.4131 0.48 0.6425 1.24 0.7840 2.00 0.8524 2.76 0.8894−3.31 0.0934 −2.55 0.1190 −1.79 0.1622 −1.03 0.2453 −0.27 0.4161 0.49 0.6450 1.25 0.7852 2.01 0.8531 2.77 0.8897−3.30 0.0937 −2.54 0.1194 −1.78 0.1629 −1.02 0.2468 −0.26 0.4190 0.50 0.6476 1.26 0.7865 2.02 0.8537 2.78 0.8901−3.29 0.0939 −2.53 0.1198 −1.77 0.1637 −1.01 0.2484 −0.25 0.4220 0.51 0.6501 1.27 0.7877 2.03 0.8543 2.79 0.8905−3.28 0.0942 −2.52 0.1202 −1.76 0.1645 −1.00 0.2500 −0.24 0.4250 0.52 0.6526 1.28 0.7889 2.04 0.8549 2.80 0.8908−3.27 0.0945 −2.51 0.1207 −1.75 0.1652 −0.99 0.2516 −0.23 0.4280 0.53 0.6551 1.29 0.7901 2.05 0.8555 2.81 0.8912−3.26 0.0947 −2.50 0.1211 −1.74 0.1660 −0.98 0.2532 −0.22 0.4311 0.54 0.6576 1.30 0.7913 2.06 0.8561 2.82 0.8915−3.25 0.0950 −2.49 0.1216 −1.73 0.1668 −0.97 0.2548 −0.21 0.4341 0.55 0.6601 1.31 0.7925 2.07 0.8568 2.83 0.8919−3.24 0.0953 −2.48 0.1220 −1.72 0.1676 −0.96 0.2565 −0.20 0.4372 0.56 0.6625 1.32 0.7936 2.08 0.8574 2.84 0.8922−3.23 0.0956 −2.47 0.1224 −1.71 0.1684 −0.95 0.2582 −0.19 0.4402 0.57 0.6649 1.33 0.7948 2.09 0.8579 2.85 0.8926−3.22 0.0958 −2.46 0.1229 −1.70 0.1693 −0.94 0.2598 −0.18 0.4433 0.58 0.6673 1.34 0.7959 2.10 0.8585 2.86 0.8929−3.21 0.0961 −2.45 0.1234 −1.69 0.1701 −0.93 0.2615 −0.17 0.4464 0.59 0.6697 1.35 0.7971 2.11 0.8591 2.87 0.8933−3.20 0.0964 −2.44 0.1238 −1.68 0.1709 −0.92 0.2633 −0.16 0.4495 0.60 0.6720 1.36 0.7982 2.12 0.8597 2.88 0.8936−3.19 0.0967 −2.43 0.1243 −1.67 0.1717 −0.91 0.2650 −0.15 0.4526 0.61 0.6744 1.37 0.7993 2.13 0.8603 2.89 0.8940−3.18 0.0970 −2.42 0.1247 −1.66 0.1726 −0.90 0.2667 −0.14 0.4557 0.62 0.6767 1.38 0.8004 2.14 0.8609 2.90 0.8943−3.17 0.0973 −2.41 0.1252 −1.65 0.1734 −0.89 0.2685 −0.13 0.4589 0.63 0.6789 1.39 0.8015 2.15 0.8614 2.91 0.8946−3.16 0.0976 −2.40 0.1257 −1.64 0.1743 −0.88 0.2703 −0.12 0.4620 0.64 0.6812 1.40 0.8026 2.16 0.8620 2.92 0.8950−3.15 0.0978 −2.39 0.1261 −1.63 0.1752 −0.87 0.2721 −0.11 0.4651 0.65 0.6835 1.41 0.8036 2.17 0.8625 2.93 0.8953−3.14 0.0981 −2.38 0.1266 −1.62 0.1760 −0.86 0.2739 −0.10 0.4683 0.66 0.6857 1.42 0.8047 2.18 0.8631 2.94 0.8956−3.13 0.0984 −2.37 0.1271 −1.61 0.1769 −0.85 0.2758 −0.09 0.4714 0.67 0.6879 1.43 0.8057 2.19 0.8637 2.95 0.8960−3.12 0.0987 −2.36 0.1276 −1.60 0.1778 −0.84 0.2776 −0.08 0.4746 0.68 0.6901 1.44 0.8068 2.20 0.8642 2.96 0.8963−3.11 0.0990 −2.35 0.1281 −1.59 0.1787 −0.83 0.2795 −0.07 0.4778 0.69 0.6923 1.45 0.8078 2.21 0.8647 2.97 0.8966−3.10 0.0993 −2.34 0.1286 −1.58 0.1796 −0.82 0.2814 −0.06 0.4809 0.70 0.6944 1.46 0.8088 2.22 0.8653 2.98 0.8969−3.09 0.0996 −2.33 0.1290 −1.57 0.1805 −0.81 0.2833 −0.05 0.4841 0.71 0.6965 1.47 0.8099 2.23 0.8658 2.99 0.8973−3.08 0.0999 −2.32 0.1295 −1.56 0.1814 −0.80 0.2852 −0.04 0.4873 0.72 0.6986 1.48 0.8109 2.24 0.8663 3.00 0.8976−3.07 0.1002 −2.31 0.1300 −1.55 0.1824 −0.79 0.2872 −0.03 0.4905 0.73 0.7007 1.49 0.8118 2.25 0.8669 3.01 0.8979−3.06 0.1005 −2.30 0.1305 −1.54 0.1833 −0.78 0.2891 −0.02 0.4936 0.74 0.7028 1.50 0.8128 2.26 0.8674 3.02 0.8982−3.05 0.1008 −2.29 0.1311 −1.53 0.1843 −0.77 0.2911 −0.01 0.4968 0.75 0.7048 1.51 0.8138 2.27 0.8679 3.03 0.8985−3.04 0.1012 −2.28 0.1316 −1.52 0.1852 −0.76 0.2931 0.00 0.5000 0.76 0.7069 1.52 0.8148 2.28 0.8684 3.04 0.8988−3.03 0.1015 −2.27 0.1321 −1.51 0.1862 −0.75 0.2952 0.01 0.5032 0.77 0.7089 1.53 0.8157 2.29 0.8689 3.05 0.8992−3.02 0.1018 −2.26 0.1326 −1.50 0.1872 −0.74 0.2972 0.02 0.5064 0.78 0.7109 1.54 0.8167 2.30 0.8695 3.06 0.8995−3.01 0.1021 −2.25 0.1331 −1.49 0.1882 −0.73 0.2993 0.03 0.5095 0.79 0.7128 1.55 0.8176 2.31 0.8700 3.07 0.8998−3.00 0.1024 −2.24 0.1337 −1.48 0.1891 −0.72 0.3014 0.04 0.5127 0.80 0.7148 1.56 0.8186 2.32 0.8705 3.08 0.9001−2.99 0.1027 −2.23 0.1342 −1.47 0.1901 −0.71 0.3035 0.05 0.5159 0.81 0.7167 1.57 0.8195 2.33 0.8710 3.09 0.9004−2.98 0.1031 −2.22 0.1347 −1.46 0.1912 −0.70 0.3056 0.06 0.5191 0.82 0.7186 1.58 0.8204 2.34 0.8714 3.10 0.9007−2.97 0.1034 −2.21 0.1353 −1.45 0.1922 −0.69 0.3077 0.07 0.5222 0.83 0.7205 1.59 0.8213 2.35 0.8719 3.11 0.9010−2.96 0.1037 −2.20 0.1358 −1.44 0.1932 −0.68 0.3099 0.08 0.5254 0.84 0.7224 1.60 0.8222 2.36 0.8724 3.12 0.9013−2.95 0.1040 −2.19 0.1363 −1.43 0.1943 −0.67 0.3121 0.09 0.5286 0.85 0.7242 1.61 0.8231 2.37 0.8729 3.13 0.9016−2.94 0.1044 −2.18 0.1369 −1.42 0.1953 −0.66 0.3143 0.10 0.5317 0.86 0.7261 1.62 0.8240 2.38 0.8734 3.14 0.9019−2.93 0.1047 −2.17 0.1375 −1.41 0.1964 −0.65 0.3165 0.11 0.5349 0.87 0.7279 1.63 0.8248 2.39 0.8739 3.15 0.9022−2.92 0.1050 −2.16 0.1380 −1.40 0.1974 −0.64 0.3188 0.12 0.5380 0.88 0.7297 1.64 0.8257 2.40 0.8743 3.16 0.9024−2.91 0.1054 −2.15 0.1386 −1.39 0.1985 −0.63 0.3211 0.13 0.5411 0.89 0.7315 1.65 0.8266 2.41 0.8748 3.17 0.9027−2.90 0.1057 −2.14 0.1391 −1.38 0.1996 −0.62 0.3233 0.14 0.5443 0.90 0.7333 1.66 0.8274 2.42 0.8753 3.18 0.9030−2.89 0.1060 −2.13 0.1397 −1.37 0.2007 −0.61 0.3256 0.15 0.5474 0.91 0.7350 1.67 0.8283 2.43 0.8757 3.19 0.9033−2.88 0.1064 −2.12 0.1403 −1.36 0.2018 −0.60 0.3280 0.16 0.5505 0.92 0.7367 1.68 0.8291 2.44 0.8762 3.20 0.9036−2.87 0.1067 −2.11 0.1409 −1.35 0.2029 −0.59 0.3303 0.17 0.5536 0.93 0.7385 1.69 0.8299 2.45 0.8766 3.21 0.9039−2.86 0.1071 −2.10 0.1415 −1.34 0.2041 −0.58 0.3327 0.18 0.5567 0.94 0.7402 1.70 0.8307 2.46 0.8771 3.22 0.9042−2.85 0.1074 −2.09 0.1421 −1.33 0.2052 −0.57 0.3351 0.19 0.5598 0.95 0.7418 1.71 0.8316 2.47 0.8776 3.23 0.9044−2.84 0.1078 −2.08 0.1426 −1.32 0.2064 −0.56 0.3375 0.20 0.5628 0.96 0.7435 1.72 0.8324 2.48 0.8780 3.24 0.9047−2.83 0.1081 −2.07 0.1432 −1.31 0.2075 −0.55 0.3399 0.21 0.5659 0.97 0.7452 1.73 0.8332 2.49 0.8784 3.25 0.9050−2.82 0.1085 −2.06 0.1439 −1.30 0.2087 −0.54 0.3424 0.22 0.5689 0.98 0.7468 1.74 0.8340 2.50 0.8789 3.26 0.9053−2.81 0.1088 −2.05 0.1445 −1.29 0.2099 −0.53 0.3449 0.23 0.5720 0.99 0.7484 1.75 0.8348 2.51 0.8793 3.27 0.9055−2.80 0.1092 −2.04 0.1451 −1.28 0.2111 −0.52 0.3474 0.24 0.5750 1.00 0.7500 1.76 0.8355 2.52 0.8798 3.28 0.9058−2.79 0.1095 −2.03 0.1457 −1.27 0.2123 −0.51 0.3499 0.25 0.5780 1.01 0.7516 1.77 0.8363 2.53 0.8802 3.29 0.9061−2.78 0.1099 −2.02 0.1463 −1.26 0.2135 −0.50 0.3524 0.26 0.5810 1.02 0.7532 1.78 0.8371 2.54 0.8806 3.30 0.9063−2.77 0.1103 −2.01 0.1469 −1.25 0.2148 −0.49 0.3550 0.27 0.5839 1.03 0.7547 1.79 0.8378 2.55 0.8810 3.31 0.9066−2.76 0.1106 −2.00 0.1476 −1.24 0.2160 −0.48 0.3575 0.28 0.5869 1.04 0.7562 1.80 0.8386 2.56 0.8815 3.32 0.9069−2.75 0.1110 −1.99 0.1482 −1.23 0.2173 −0.47 0.3601 0.29 0.5898 1.05 0.7578 1.81 0.8393 2.57 0.8819 3.33 0.9071−2.74 0.1114 −1.98 0.1489 −1.22 0.2186 −0.46 0.3628 0.30 0.5928 1.06 0.7593 1.82 0.8401 2.58 0.8823 3.34 0.9074−2.73 0.1118 −1.97 0.1495 −1.21 0.2198 −0.45 0.3654 0.31 0.5957 1.07 0.7608 1.83 0.8408 2.59 0.8827 3.35 0.9077−2.72 0.1121 −1.96 0.1502 −1.20 0.2211 −0.44 0.3681 0.32 0.5986 1.08 0.7622 1.84 0.8415 2.60 0.8831 3.36 0.9079−2.71 0.1125 −1.95 0.1508 −1.19 0.2225 −0.43 0.3707 0.33 0.6015 1.09 0.7637 1.85 0.8423 2.61 0.8835 3.37 0.9082−2.70 0.1129 −1.94 0.1515 −1.18 0.2238 −0.42 0.3734 0.34 0.6043 1.10 0.7651 1.86 0.8430 2.62 0.8839 3.38 0.9084−2.69 0.1133 −1.93 0.1522 −1.17 0.2251 −0.41 0.3761 0.35 0.6072 1.11 0.7666 1.87 0.8437 2.63 0.8843 3.39 0.9087−2.68 0.1137 −1.92 0.1528 −1.16 0.2265 −0.40 0.3789 0.36 0.6100 1.12 0.7680 1.88 0.8444 2.64 0.8847 3.40 0.9089−2.67 0.1141 −1.91 0.1535 −1.15 0.2278 −0.39 0.3816 0.37 0.6128 1.13 0.7694 1.89 0.8451 2.65 0.8851 3.41 0.9092−2.66 0.1145 −1.90 0.1542 −1.14 0.2292 −0.38 0.3844 0.38 0.6156 1.14 0.7708 1.90 0.8458 2.66 0.8855 3.42 0.9095−2.65 0.1149 −1.89 0.1549 −1.13 0.2306 −0.37 0.3872 0.39 0.6184 1.15 0.7722 1.91 0.8465 2.67 0.8859 3.43 0.9097

Area Under t-distribution to the Left of t =x− µs/√n

2 degree(s) of freedom−3.40 0.0383 −2.64 0.0593 −1.88 0.1004 −1.12 0.1896 −0.36 0.3767 0.40 0.6361 1.16 0.8171 1.92 0.9026 2.68 0.9422−3.39 0.0385 −2.63 0.0596 −1.87 0.1012 −1.11 0.1913 −0.35 0.3799 0.41 0.6392 1.17 0.8187 1.93 0.9033 2.69 0.9426−3.38 0.0387 −2.62 0.0600 −1.86 0.1020 −1.10 0.1930 −0.34 0.3831 0.42 0.6423 1.18 0.8203 1.94 0.9040 2.70 0.9429−3.37 0.0390 −2.61 0.0604 −1.85 0.1028 −1.09 0.1948 −0.33 0.3864 0.43 0.6455 1.19 0.8219 1.95 0.9048 2.71 0.9433−3.36 0.0392 −2.60 0.0608 −1.84 0.1036 −1.08 0.1965 −0.32 0.3897 0.44 0.6485 1.20 0.8235 1.96 0.9055 2.72 0.9436−3.35 0.0394 −2.59 0.0612 −1.83 0.1044 −1.07 0.1983 −0.31 0.3929 0.45 0.6516 1.21 0.8251 1.97 0.9062 2.73 0.9440−3.34 0.0396 −2.58 0.0615 −1.82 0.1052 −1.06 0.2001 −0.30 0.3962 0.46 0.6547 1.22 0.8266 1.98 0.9069 2.74 0.9443−3.33 0.0398 −2.57 0.0619 −1.81 0.1060 −1.05 0.2019 −0.29 0.3996 0.47 0.6577 1.23 0.8281 1.99 0.9076 2.75 0.9446−3.32 0.0400 −2.56 0.0623 −1.80 0.1068 −1.04 0.2038 −0.28 0.4029 0.48 0.6607 1.24 0.8296 2.00 0.9082 2.76 0.9450−3.31 0.0402 −2.55 0.0627 −1.79 0.1077 −1.03 0.2056 −0.27 0.4062 0.49 0.6637 1.25 0.8311 2.01 0.9089 2.77 0.9453−3.30 0.0404 −2.54 0.0631 −1.78 0.1085 −1.02 0.2075 −0.26 0.4096 0.50 0.6667 1.26 0.8326 2.02 0.9096 2.78 0.9457−3.29 0.0406 −2.53 0.0636 −1.77 0.1094 −1.01 0.2094 −0.25 0.4130 0.51 0.6696 1.27 0.8341 2.03 0.9103 2.79 0.9460−3.28 0.0409 −2.52 0.0640 −1.76 0.1102 −1.00 0.2113 −0.24 0.4163 0.52 0.6726 1.28 0.8355 2.04 0.9109 2.80 0.9463−3.27 0.0411 −2.51 0.0644 −1.75 0.1111 −0.99 0.2133 −0.23 0.4197 0.53 0.6755 1.29 0.8370 2.05 0.9116 2.81 0.9466−3.26 0.0413 −2.50 0.0648 −1.74 0.1120 −0.98 0.2152 −0.22 0.4231 0.54 0.6784 1.30 0.8384 2.06 0.9122 2.82 0.9469−3.25 0.0415 −2.49 0.0652 −1.73 0.1129 −0.97 0.2172 −0.21 0.4266 0.55 0.6812 1.31 0.8398 2.07 0.9128 2.83 0.9473−3.24 0.0418 −2.48 0.0657 −1.72 0.1138 −0.96 0.2192 −0.20 0.4300 0.56 0.6841 1.32 0.8412 2.08 0.9135 2.84 0.9476−3.23 0.0420 −2.47 0.0661 −1.71 0.1147 −0.95 0.2212 −0.19 0.4334 0.57 0.6869 1.33 0.8425 2.09 0.9141 2.85 0.9479−3.22 0.0422 −2.46 0.0665 −1.70 0.1156 −0.94 0.2232 −0.18 0.4369 0.58 0.6897 1.34 0.8439 2.10 0.9147 2.86 0.9482−3.21 0.0424 −2.45 0.0670 −1.69 0.1165 −0.93 0.2253 −0.17 0.4403 0.59 0.6925 1.35 0.8452 2.11 0.9153 2.87 0.9485−3.20 0.0427 −2.44 0.0674 −1.68 0.1175 −0.92 0.2273 −0.16 0.4438 0.60 0.6953 1.36 0.8466 2.12 0.9159 2.88 0.9488−3.19 0.0429 −2.43 0.0679 −1.67 0.1184 −0.91 0.2294 −0.15 0.4473 0.61 0.6980 1.37 0.8479 2.13 0.9165 2.89 0.9491−3.18 0.0431 −2.42 0.0683 −1.66 0.1194 −0.90 0.2316 −0.14 0.4507 0.62 0.7008 1.38 0.8492 2.14 0.9171 2.90 0.9494−3.17 0.0434 −2.41 0.0688 −1.65 0.1204 −0.89 0.2337 −0.13 0.4542 0.63 0.7035 1.39 0.8505 2.15 0.9177 2.91 0.9497−3.16 0.0436 −2.40 0.0692 −1.64 0.1213 −0.88 0.2358 −0.12 0.4577 0.64 0.7061 1.40 0.8518 2.16 0.9183 2.92 0.9500−3.15 0.0439 −2.39 0.0697 −1.63 0.1223 −0.87 0.2380 −0.11 0.4612 0.65 0.7088 1.41 0.8530 2.17 0.9189 2.93 0.9503−3.14 0.0441 −2.38 0.0702 −1.62 0.1233 −0.86 0.2402 −0.10 0.4647 0.66 0.7115 1.42 0.8543 2.18 0.9195 2.94 0.9506−3.13 0.0444 −2.37 0.0706 −1.61 0.1243 −0.85 0.2424 −0.09 0.4682 0.67 0.7141 1.43 0.8555 2.19 0.9200 2.95 0.9509−3.12 0.0446 −2.36 0.0711 −1.60 0.1254 −0.84 0.2447 −0.08 0.4718 0.68 0.7167 1.44 0.8567 2.20 0.9206 2.96 0.9512−3.11 0.0448 −2.35 0.0716 −1.59 0.1264 −0.83 0.2469 −0.07 0.4753 0.69 0.7192 1.45 0.8579 2.21 0.9212 2.97 0.9514−3.10 0.0451 −2.34 0.0721 −1.58 0.1274 −0.82 0.2492 −0.06 0.4788 0.70 0.7218 1.46 0.8591 2.22 0.9217 2.98 0.9517−3.09 0.0454 −2.33 0.0726 −1.57 0.1285 −0.81 0.2515 −0.05 0.4823 0.71 0.7243 1.47 0.8603 2.23 0.9222 2.99 0.9520−3.08 0.0456 −2.32 0.0731 −1.56 0.1296 −0.80 0.2538 −0.04 0.4859 0.72 0.7269 1.48 0.8615 2.24 0.9228 3.00 0.9523−3.07 0.0459 −2.31 0.0736 −1.55 0.1306 −0.79 0.2562 −0.03 0.4894 0.73 0.7293 1.49 0.8627 2.25 0.9233 3.01 0.9525−3.06 0.0461 −2.30 0.0741 −1.54 0.1317 −0.78 0.2585 −0.02 0.4929 0.74 0.7318 1.50 0.8638 2.26 0.9239 3.02 0.9528−3.05 0.0464 −2.29 0.0746 −1.53 0.1328 −0.77 0.2609 −0.01 0.4965 0.75 0.7343 1.51 0.8649 2.27 0.9244 3.03 0.9531−3.04 0.0467 −2.28 0.0751 −1.52 0.1339 −0.76 0.2633 0.00 0.5000 0.76 0.7367 1.52 0.8661 2.28 0.9249 3.04 0.9533−3.03 0.0469 −2.27 0.0756 −1.51 0.1351 −0.75 0.2657 0.01 0.5035 0.77 0.7391 1.53 0.8672 2.29 0.9254 3.05 0.9536−3.02 0.0472 −2.26 0.0761 −1.50 0.1362 −0.74 0.2682 0.02 0.5071 0.78 0.7415 1.54 0.8683 2.30 0.9259 3.06 0.9539−3.01 0.0475 −2.25 0.0767 −1.49 0.1373 −0.73 0.2707 0.03 0.5106 0.79 0.7438 1.55 0.8694 2.31 0.9264 3.07 0.9541−3.00 0.0477 −2.24 0.0772 −1.48 0.1385 −0.72 0.2731 0.04 0.5141 0.80 0.7462 1.56 0.8704 2.32 0.9269 3.08 0.9544−2.99 0.0480 −2.23 0.0778 −1.47 0.1397 −0.71 0.2757 0.05 0.5177 0.81 0.7485 1.57 0.8715 2.33 0.9274 3.09 0.9546−2.98 0.0483 −2.22 0.0783 −1.46 0.1409 −0.70 0.2782 0.06 0.5212 0.82 0.7508 1.58 0.8726 2.34 0.9279 3.10 0.9549−2.97 0.0486 −2.21 0.0788 −1.45 0.1421 −0.69 0.2808 0.07 0.5247 0.83 0.7531 1.59 0.8736 2.35 0.9284 3.11 0.9552−2.96 0.0488 −2.20 0.0794 −1.44 0.1433 −0.68 0.2833 0.08 0.5282 0.84 0.7553 1.60 0.8746 2.36 0.9289 3.12 0.9554−2.95 0.0491 −2.19 0.0800 −1.43 0.1445 −0.67 0.2859 0.09 0.5318 0.85 0.7576 1.61 0.8757 2.37 0.9294 3.13 0.9556−2.94 0.0494 −2.18 0.0805 −1.42 0.1457 −0.66 0.2885 0.10 0.5353 0.86 0.7598 1.62 0.8767 2.38 0.9298 3.14 0.9559−2.93 0.0497 −2.17 0.0811 −1.41 0.1470 −0.65 0.2912 0.11 0.5388 0.87 0.7620 1.63 0.8777 2.39 0.9303 3.15 0.9561−2.92 0.0500 −2.16 0.0817 −1.40 0.1482 −0.64 0.2939 0.12 0.5423 0.88 0.7642 1.64 0.8787 2.40 0.9308 3.16 0.9564−2.91 0.0503 −2.15 0.0823 −1.39 0.1495 −0.63 0.2965 0.13 0.5458 0.89 0.7663 1.65 0.8796 2.41 0.9312 3.17 0.9566−2.90 0.0506 −2.14 0.0829 −1.38 0.1508 −0.62 0.2992 0.14 0.5493 0.90 0.7684 1.66 0.8806 2.42 0.9317 3.18 0.9569−2.89 0.0509 −2.13 0.0835 −1.37 0.1521 −0.61 0.3020 0.15 0.5527 0.91 0.7706 1.67 0.8816 2.43 0.9321 3.19 0.9571−2.88 0.0512 −2.12 0.0841 −1.36 0.1534 −0.60 0.3047 0.16 0.5562 0.92 0.7727 1.68 0.8825 2.44 0.9326 3.20 0.9573−2.87 0.0515 −2.11 0.0847 −1.35 0.1548 −0.59 0.3075 0.17 0.5597 0.93 0.7747 1.69 0.8835 2.45 0.9330 3.21 0.9576−2.86 0.0518 −2.10 0.0853 −1.34 0.1561 −0.58 0.3103 0.18 0.5631 0.94 0.7768 1.70 0.8844 2.46 0.9335 3.22 0.9578−2.85 0.0521 −2.09 0.0859 −1.33 0.1575 −0.57 0.3131 0.19 0.5666 0.95 0.7788 1.71 0.8853 2.47 0.9339 3.23 0.9580−2.84 0.0524 −2.08 0.0865 −1.32 0.1588 −0.56 0.3159 0.20 0.5700 0.96 0.7808 1.72 0.8862 2.48 0.9343 3.24 0.9582−2.83 0.0527 −2.07 0.0872 −1.31 0.1602 −0.55 0.3188 0.21 0.5734 0.97 0.7828 1.73 0.8871 2.49 0.9348 3.25 0.9585−2.82 0.0531 −2.06 0.0878 −1.30 0.1616 −0.54 0.3216 0.22 0.5769 0.98 0.7848 1.74 0.8880 2.50 0.9352 3.26 0.9587−2.81 0.0534 −2.05 0.0884 −1.29 0.1630 −0.53 0.3245 0.23 0.5803 0.99 0.7867 1.75 0.8889 2.51 0.9356 3.27 0.9589−2.80 0.0537 −2.04 0.0891 −1.28 0.1645 −0.52 0.3274 0.24 0.5837 1.00 0.7887 1.76 0.8898 2.52 0.9360 3.28 0.9591−2.79 0.0540 −2.03 0.0897 −1.27 0.1659 −0.51 0.3304 0.25 0.5870 1.01 0.7906 1.77 0.8906 2.53 0.9364 3.29 0.9594−2.78 0.0543 −2.02 0.0904 −1.26 0.1674 −0.50 0.3333 0.26 0.5904 1.02 0.7925 1.78 0.8915 2.54 0.9369 3.30 0.9596−2.77 0.0547 −2.01 0.0911 −1.25 0.1689 −0.49 0.3363 0.27 0.5938 1.03 0.7944 1.79 0.8923 2.55 0.9373 3.31 0.9598−2.76 0.0550 −2.00 0.0918 −1.24 0.1704 −0.48 0.3393 0.28 0.5971 1.04 0.7962 1.80 0.8932 2.56 0.9377 3.32 0.9600−2.75 0.0554 −1.99 0.0924 −1.23 0.1719 −0.47 0.3423 0.29 0.6004 1.05 0.7981 1.81 0.8940 2.57 0.9381 3.33 0.9602−2.74 0.0557 −1.98 0.0931 −1.22 0.1734 −0.46 0.3453 0.30 0.6038 1.06 0.7999 1.82 0.8948 2.58 0.9385 3.34 0.9604−2.73 0.0560 −1.97 0.0938 −1.21 0.1749 −0.45 0.3484 0.31 0.6071 1.07 0.8017 1.83 0.8956 2.59 0.9388 3.35 0.9606−2.72 0.0564 −1.96 0.0945 −1.20 0.1765 −0.44 0.3515 0.32 0.6103 1.08 0.8035 1.84 0.8964 2.60 0.9392 3.36 0.9608−2.71 0.0567 −1.95 0.0952 −1.19 0.1781 −0.43 0.3545 0.33 0.6136 1.09 0.8052 1.85 0.8972 2.61 0.9396 3.37 0.9610−2.70 0.0571 −1.94 0.0960 −1.18 0.1797 −0.42 0.3577 0.34 0.6169 1.10 0.8070 1.86 0.8980 2.62 0.9400 3.38 0.9613−2.69 0.0574 −1.93 0.0967 −1.17 0.1813 −0.41 0.3608 0.35 0.6201 1.11 0.8087 1.87 0.8988 2.63 0.9404 3.39 0.9615−2.68 0.0578 −1.92 0.0974 −1.16 0.1829 −0.40 0.3639 0.36 0.6233 1.12 0.8104 1.88 0.8996 2.64 0.9407 3.40 0.9617−2.67 0.0582 −1.91 0.0982 −1.15 0.1845 −0.39 0.3671 0.37 0.6266 1.13 0.8121 1.89 0.9003 2.65 0.9411 3.41 0.9619−2.66 0.0585 −1.90 0.0989 −1.14 0.1862 −0.38 0.3703 0.38 0.6297 1.14 0.8138 1.90 0.9011 2.66 0.9415 3.42 0.9621−2.65 0.0589 −1.89 0.0997 −1.13 0.1879 −0.37 0.3734 0.39 0.6329 1.15 0.8155 1.91 0.9018 2.67 0.9418 3.43 0.9623

Area Under t-distribution to the Left of t =x− µs/√n

3 degree(s) of freedom−3.40 0.0212 −2.64 0.0388 −1.88 0.0783 −1.12 0.1721 −0.36 0.3713 0.40 0.6420 1.16 0.8350 1.92 0.9247 2.68 0.9625−3.39 0.0214 −2.63 0.0392 −1.87 0.0791 −1.11 0.1740 −0.35 0.3747 0.41 0.6453 1.17 0.8368 1.93 0.9254 2.69 0.9628−3.38 0.0215 −2.62 0.0395 −1.86 0.0799 −1.10 0.1758 −0.34 0.3781 0.42 0.6486 1.18 0.8385 1.94 0.9261 2.70 0.9631−3.37 0.0217 −2.61 0.0398 −1.85 0.0807 −1.09 0.1777 −0.33 0.3816 0.43 0.6519 1.19 0.8402 1.95 0.9269 2.71 0.9634−3.36 0.0219 −2.60 0.0402 −1.84 0.0815 −1.08 0.1796 −0.32 0.3850 0.44 0.6551 1.20 0.8419 1.96 0.9276 2.72 0.9637−3.35 0.0220 −2.59 0.0405 −1.83 0.0823 −1.07 0.1815 −0.31 0.3884 0.45 0.6584 1.21 0.8435 1.97 0.9283 2.73 0.9640−3.34 0.0222 −2.58 0.0409 −1.82 0.0832 −1.06 0.1835 −0.30 0.3919 0.46 0.6616 1.22 0.8452 1.98 0.9290 2.74 0.9643−3.33 0.0224 −2.57 0.0412 −1.81 0.0840 −1.05 0.1854 −0.29 0.3954 0.47 0.6648 1.23 0.8468 1.99 0.9297 2.75 0.9646−3.32 0.0225 −2.56 0.0416 −1.80 0.0848 −1.04 0.1874 −0.28 0.3988 0.48 0.6680 1.24 0.8484 2.00 0.9303 2.76 0.9649−3.31 0.0227 −2.55 0.0420 −1.79 0.0857 −1.03 0.1894 −0.27 0.4023 0.49 0.6711 1.25 0.8500 2.01 0.9310 2.77 0.9652−3.30 0.0229 −2.54 0.0423 −1.78 0.0866 −1.02 0.1914 −0.26 0.4058 0.50 0.6743 1.26 0.8516 2.02 0.9317 2.78 0.9655−3.29 0.0230 −2.53 0.0427 −1.77 0.0874 −1.01 0.1934 −0.25 0.4094 0.51 0.6774 1.27 0.8532 2.03 0.9323 2.79 0.9658−3.28 0.0232 −2.52 0.0431 −1.76 0.0883 −1.00 0.1955 −0.24 0.4129 0.52 0.6805 1.28 0.8547 2.04 0.9330 2.80 0.9661−3.27 0.0234 −2.51 0.0435 −1.75 0.0892 −0.99 0.1976 −0.23 0.4164 0.53 0.6836 1.29 0.8563 2.05 0.9336 2.81 0.9664−3.26 0.0236 −2.50 0.0439 −1.74 0.0901 −0.98 0.1997 −0.22 0.4200 0.54 0.6866 1.30 0.8578 2.06 0.9343 2.82 0.9666−3.25 0.0237 −2.49 0.0442 −1.73 0.0910 −0.97 0.2018 −0.21 0.4236 0.55 0.6897 1.31 0.8593 2.07 0.9349 2.83 0.9669−3.24 0.0239 −2.48 0.0446 −1.72 0.0920 −0.96 0.2039 −0.20 0.4271 0.56 0.6927 1.32 0.8607 2.08 0.9355 2.84 0.9672−3.23 0.0241 −2.47 0.0450 −1.71 0.0929 −0.95 0.2061 −0.19 0.4307 0.57 0.6957 1.33 0.8622 2.09 0.9361 2.85 0.9674−3.22 0.0243 −2.46 0.0454 −1.70 0.0938 −0.94 0.2083 −0.18 0.4343 0.58 0.6987 1.34 0.8637 2.10 0.9367 2.86 0.9677−3.21 0.0245 −2.45 0.0458 −1.69 0.0948 −0.93 0.2105 −0.17 0.4379 0.59 0.7017 1.35 0.8651 2.11 0.9373 2.87 0.9680−3.20 0.0247 −2.44 0.0463 −1.68 0.0958 −0.92 0.2127 −0.16 0.4415 0.60 0.7046 1.36 0.8665 2.12 0.9379 2.88 0.9682−3.19 0.0249 −2.43 0.0467 −1.67 0.0968 −0.91 0.2150 −0.15 0.4451 0.61 0.7075 1.37 0.8679 2.13 0.9385 2.89 0.9685−3.18 0.0250 −2.42 0.0471 −1.66 0.0977 −0.90 0.2172 −0.14 0.4488 0.62 0.7104 1.38 0.8693 2.14 0.9391 2.90 0.9687−3.17 0.0252 −2.41 0.0475 −1.65 0.0988 −0.89 0.2195 −0.13 0.4524 0.63 0.7133 1.39 0.8706 2.15 0.9396 2.91 0.9690−3.16 0.0254 −2.40 0.0479 −1.64 0.0998 −0.88 0.2218 −0.12 0.4560 0.64 0.7162 1.40 0.8720 2.16 0.9402 2.92 0.9693−3.15 0.0256 −2.39 0.0484 −1.63 0.1008 −0.87 0.2242 −0.11 0.4597 0.65 0.7190 1.41 0.8733 2.17 0.9408 2.93 0.9695−3.14 0.0258 −2.38 0.0488 −1.62 0.1018 −0.86 0.2265 −0.10 0.4633 0.66 0.7218 1.42 0.8747 2.18 0.9413 2.94 0.9697−3.13 0.0260 −2.37 0.0493 −1.61 0.1029 −0.85 0.2289 −0.09 0.4670 0.67 0.7246 1.43 0.8760 2.19 0.9419 2.95 0.9700−3.12 0.0262 −2.36 0.0497 −1.60 0.1040 −0.84 0.2313 −0.08 0.4706 0.68 0.7274 1.44 0.8773 2.20 0.9424 2.96 0.9702−3.11 0.0264 −2.35 0.0502 −1.59 0.1050 −0.83 0.2337 −0.07 0.4743 0.69 0.7301 1.45 0.8785 2.21 0.9429 2.97 0.9705−3.10 0.0266 −2.34 0.0506 −1.58 0.1061 −0.82 0.2362 −0.06 0.4780 0.70 0.7328 1.46 0.8798 2.22 0.9435 2.98 0.9707−3.09 0.0269 −2.33 0.0511 −1.57 0.1072 −0.81 0.2386 −0.05 0.4816 0.71 0.7355 1.47 0.8810 2.23 0.9440 2.99 0.9709−3.08 0.0271 −2.32 0.0515 −1.56 0.1083 −0.80 0.2411 −0.04 0.4853 0.72 0.7382 1.48 0.8823 2.24 0.9445 3.00 0.9712−3.07 0.0273 −2.31 0.0520 −1.55 0.1095 −0.79 0.2436 −0.03 0.4890 0.73 0.7409 1.49 0.8835 2.25 0.9450 3.01 0.9714−3.06 0.0275 −2.30 0.0525 −1.54 0.1106 −0.78 0.2461 −0.02 0.4926 0.74 0.7435 1.50 0.8847 2.26 0.9455 3.02 0.9716−3.05 0.0277 −2.29 0.0530 −1.53 0.1118 −0.77 0.2487 −0.01 0.4963 0.75 0.7461 1.51 0.8859 2.27 0.9460 3.03 0.9718−3.04 0.0279 −2.28 0.0535 −1.52 0.1129 −0.76 0.2513 0.00 0.5000 0.76 0.7487 1.52 0.8871 2.28 0.9465 3.04 0.9721−3.03 0.0282 −2.27 0.0540 −1.51 0.1141 −0.75 0.2539 0.01 0.5037 0.77 0.7513 1.53 0.8882 2.29 0.9470 3.05 0.9723−3.02 0.0284 −2.26 0.0545 −1.50 0.1153 −0.74 0.2565 0.02 0.5074 0.78 0.7539 1.54 0.8894 2.30 0.9475 3.06 0.9725−3.01 0.0286 −2.25 0.0550 −1.49 0.1165 −0.73 0.2591 0.03 0.5110 0.79 0.7564 1.55 0.8905 2.31 0.9480 3.07 0.9727−3.00 0.0288 −2.24 0.0555 −1.48 0.1177 −0.72 0.2618 0.04 0.5147 0.80 0.7589 1.56 0.8917 2.32 0.9485 3.08 0.9729−2.99 0.0291 −2.23 0.0560 −1.47 0.1190 −0.71 0.2645 0.05 0.5184 0.81 0.7614 1.57 0.8928 2.33 0.9489 3.09 0.9731−2.98 0.0293 −2.22 0.0565 −1.46 0.1202 −0.70 0.2672 0.06 0.5220 0.82 0.7638 1.58 0.8939 2.34 0.9494 3.10 0.9734−2.97 0.0295 −2.21 0.0571 −1.45 0.1215 −0.69 0.2699 0.07 0.5257 0.83 0.7663 1.59 0.8950 2.35 0.9498 3.11 0.9736−2.96 0.0298 −2.20 0.0576 −1.44 0.1227 −0.68 0.2726 0.08 0.5294 0.84 0.7687 1.60 0.8960 2.36 0.9503 3.12 0.9738−2.95 0.0300 −2.19 0.0581 −1.43 0.1240 −0.67 0.2754 0.09 0.5330 0.85 0.7711 1.61 0.8971 2.37 0.9507 3.13 0.9740−2.94 0.0303 −2.18 0.0587 −1.42 0.1253 −0.66 0.2782 0.10 0.5367 0.86 0.7735 1.62 0.8982 2.38 0.9512 3.14 0.9742−2.93 0.0305 −2.17 0.0592 −1.41 0.1267 −0.65 0.2810 0.11 0.5403 0.87 0.7758 1.63 0.8992 2.39 0.9516 3.15 0.9744−2.92 0.0307 −2.16 0.0598 −1.40 0.1280 −0.64 0.2838 0.12 0.5440 0.88 0.7782 1.64 0.9002 2.40 0.9521 3.16 0.9746−2.91 0.0310 −2.15 0.0604 −1.39 0.1294 −0.63 0.2867 0.13 0.5476 0.89 0.7805 1.65 0.9012 2.41 0.9525 3.17 0.9748−2.90 0.0313 −2.14 0.0609 −1.38 0.1307 −0.62 0.2896 0.14 0.5512 0.90 0.7828 1.66 0.9023 2.42 0.9529 3.18 0.9750−2.89 0.0315 −2.13 0.0615 −1.37 0.1321 −0.61 0.2925 0.15 0.5549 0.91 0.7850 1.67 0.9032 2.43 0.9533 3.19 0.9751−2.88 0.0318 −2.12 0.0621 −1.36 0.1335 −0.60 0.2954 0.16 0.5585 0.92 0.7873 1.68 0.9042 2.44 0.9537 3.20 0.9753−2.87 0.0320 −2.11 0.0627 −1.35 0.1349 −0.59 0.2983 0.17 0.5621 0.93 0.7895 1.69 0.9052 2.45 0.9542 3.21 0.9755−2.86 0.0323 −2.10 0.0633 −1.34 0.1363 −0.58 0.3013 0.18 0.5657 0.94 0.7917 1.70 0.9062 2.46 0.9546 3.22 0.9757−2.85 0.0326 −2.09 0.0639 −1.33 0.1378 −0.57 0.3043 0.19 0.5693 0.95 0.7939 1.71 0.9071 2.47 0.9550 3.23 0.9759−2.84 0.0328 −2.08 0.0645 −1.32 0.1393 −0.56 0.3073 0.20 0.5729 0.96 0.7961 1.72 0.9080 2.48 0.9554 3.24 0.9761−2.83 0.0331 −2.07 0.0651 −1.31 0.1407 −0.55 0.3103 0.21 0.5764 0.97 0.7982 1.73 0.9090 2.49 0.9558 3.25 0.9763−2.82 0.0334 −2.06 0.0657 −1.30 0.1422 −0.54 0.3134 0.22 0.5800 0.98 0.8003 1.74 0.9099 2.50 0.9561 3.26 0.9764−2.81 0.0336 −2.05 0.0664 −1.29 0.1437 −0.53 0.3164 0.23 0.5836 0.99 0.8024 1.75 0.9108 2.51 0.9565 3.27 0.9766−2.80 0.0339 −2.04 0.0670 −1.28 0.1453 −0.52 0.3195 0.24 0.5871 1.00 0.8045 1.76 0.9117 2.52 0.9569 3.28 0.9768−2.79 0.0342 −2.03 0.0677 −1.27 0.1468 −0.51 0.3226 0.25 0.5906 1.01 0.8066 1.77 0.9126 2.53 0.9573 3.29 0.9770−2.78 0.0345 −2.02 0.0683 −1.26 0.1484 −0.50 0.3257 0.26 0.5942 1.02 0.8086 1.78 0.9134 2.54 0.9577 3.30 0.9771−2.77 0.0348 −2.01 0.0690 −1.25 0.1500 −0.49 0.3289 0.27 0.5977 1.03 0.8106 1.79 0.9143 2.55 0.9580 3.31 0.9773−2.76 0.0351 −2.00 0.0697 −1.24 0.1516 −0.48 0.3320 0.28 0.6012 1.04 0.8126 1.80 0.9152 2.56 0.9584 3.32 0.9775−2.75 0.0354 −1.99 0.0703 −1.23 0.1532 −0.47 0.3352 0.29 0.6046 1.05 0.8146 1.81 0.9160 2.57 0.9588 3.33 0.9776−2.74 0.0357 −1.98 0.0710 −1.22 0.1548 −0.46 0.3384 0.30 0.6081 1.06 0.8165 1.82 0.9168 2.58 0.9591 3.34 0.9778−2.73 0.0360 −1.97 0.0717 −1.21 0.1565 −0.45 0.3416 0.31 0.6116 1.07 0.8185 1.83 0.9177 2.59 0.9595 3.35 0.9780−2.72 0.0363 −1.96 0.0724 −1.20 0.1581 −0.44 0.3449 0.32 0.6150 1.08 0.8204 1.84 0.9185 2.60 0.9598 3.36 0.9781−2.71 0.0366 −1.95 0.0731 −1.19 0.1598 −0.43 0.3481 0.33 0.6184 1.09 0.8223 1.85 0.9193 2.61 0.9602 3.37 0.9783−2.70 0.0369 −1.94 0.0739 −1.18 0.1615 −0.42 0.3514 0.34 0.6219 1.10 0.8242 1.86 0.9201 2.62 0.9605 3.38 0.9785−2.69 0.0372 −1.93 0.0746 −1.17 0.1632 −0.41 0.3547 0.35 0.6253 1.11 0.8260 1.87 0.9209 2.63 0.9608 3.39 0.9786−2.68 0.0375 −1.92 0.0753 −1.16 0.1650 −0.40 0.3580 0.36 0.6287 1.12 0.8279 1.88 0.9217 2.64 0.9612 3.40 0.9788−2.67 0.0378 −1.91 0.0761 −1.15 0.1668 −0.39 0.3613 0.37 0.6320 1.13 0.8297 1.89 0.9224 2.65 0.9615 3.41 0.9789−2.66 0.0382 −1.90 0.0768 −1.14 0.1685 −0.38 0.3646 0.38 0.6354 1.14 0.8315 1.90 0.9232 2.66 0.9618 3.42 0.9791−2.65 0.0385 −1.89 0.0776 −1.13 0.1703 −0.37 0.3680 0.39 0.6387 1.15 0.8332 1.91 0.9239 2.67 0.9622 3.43 0.9792

Area Under t-distribution to the Left of t =x− µs/√n

4 degree(s) of freedom−3.40 0.0136 −2.64 0.0288 −1.88 0.0666 −1.12 0.1627 −0.36 0.3685 0.40 0.6452 1.16 0.8447 1.92 0.9364 2.68 0.9724−3.39 0.0138 −2.63 0.0291 −1.87 0.0674 −1.11 0.1646 −0.35 0.3720 0.41 0.6486 1.17 0.8465 1.93 0.9371 2.69 0.9727−3.38 0.0139 −2.62 0.0294 −1.86 0.0682 −1.10 0.1665 −0.34 0.3755 0.42 0.6520 1.18 0.8483 1.94 0.9378 2.70 0.9730−3.37 0.0140 −2.61 0.0297 −1.85 0.0690 −1.09 0.1685 −0.33 0.3790 0.43 0.6553 1.19 0.8501 1.95 0.9385 2.71 0.9732−3.36 0.0142 −2.60 0.0300 −1.84 0.0698 −1.08 0.1705 −0.32 0.3825 0.44 0.6587 1.20 0.8518 1.96 0.9392 2.72 0.9735−3.35 0.0143 −2.59 0.0303 −1.83 0.0706 −1.07 0.1724 −0.31 0.3860 0.45 0.6620 1.21 0.8536 1.97 0.9399 2.73 0.9738−3.34 0.0144 −2.58 0.0307 −1.82 0.0714 −1.06 0.1745 −0.30 0.3896 0.46 0.6653 1.22 0.8553 1.98 0.9406 2.74 0.9740−3.33 0.0146 −2.57 0.0310 −1.81 0.0723 −1.05 0.1765 −0.29 0.3931 0.47 0.6686 1.23 0.8570 1.99 0.9413 2.75 0.9743−3.32 0.0147 −2.56 0.0313 −1.80 0.0731 −1.04 0.1785 −0.28 0.3967 0.48 0.6719 1.24 0.8586 2.00 0.9419 2.76 0.9746−3.31 0.0148 −2.55 0.0317 −1.79 0.0740 −1.03 0.1806 −0.27 0.4003 0.49 0.6751 1.25 0.8603 2.01 0.9426 2.77 0.9748−3.30 0.0150 −2.54 0.0320 −1.78 0.0748 −1.02 0.1827 −0.26 0.4038 0.50 0.6783 1.26 0.8619 2.02 0.9433 2.78 0.9751−3.29 0.0151 −2.53 0.0323 −1.77 0.0757 −1.01 0.1848 −0.25 0.4075 0.51 0.6815 1.27 0.8635 2.03 0.9439 2.79 0.9753−3.28 0.0153 −2.52 0.0327 −1.76 0.0766 −1.00 0.1870 −0.24 0.4111 0.52 0.6847 1.28 0.8651 2.04 0.9445 2.80 0.9756−3.27 0.0154 −2.51 0.0330 −1.75 0.0775 −0.99 0.1891 −0.23 0.4147 0.53 0.6879 1.29 0.8667 2.05 0.9452 2.81 0.9758−3.26 0.0155 −2.50 0.0334 −1.74 0.0784 −0.98 0.1913 −0.22 0.4183 0.54 0.6911 1.30 0.8683 2.06 0.9458 2.82 0.9761−3.25 0.0157 −2.49 0.0337 −1.73 0.0793 −0.97 0.1935 −0.21 0.4220 0.55 0.6942 1.31 0.8698 2.07 0.9464 2.83 0.9763−3.24 0.0158 −2.48 0.0341 −1.72 0.0803 −0.96 0.1957 −0.20 0.4256 0.56 0.6973 1.32 0.8713 2.08 0.9470 2.84 0.9766−3.23 0.0160 −2.47 0.0345 −1.71 0.0812 −0.95 0.1980 −0.19 0.4293 0.57 0.7004 1.33 0.8729 2.09 0.9476 2.85 0.9768−3.22 0.0161 −2.46 0.0348 −1.70 0.0822 −0.94 0.2002 −0.18 0.4330 0.58 0.7035 1.34 0.8743 2.10 0.9482 2.86 0.9770−3.21 0.0163 −2.45 0.0352 −1.69 0.0831 −0.93 0.2025 −0.17 0.4366 0.59 0.7065 1.35 0.8758 2.11 0.9488 2.87 0.9773−3.20 0.0165 −2.44 0.0356 −1.68 0.0841 −0.92 0.2048 −0.16 0.4403 0.60 0.7096 1.36 0.8773 2.12 0.9493 2.88 0.9775−3.19 0.0166 −2.43 0.0360 −1.67 0.0851 −0.91 0.2071 −0.15 0.4440 0.61 0.7126 1.37 0.8787 2.13 0.9499 2.89 0.9777−3.18 0.0168 −2.42 0.0364 −1.66 0.0861 −0.90 0.2095 −0.14 0.4477 0.62 0.7156 1.38 0.8801 2.14 0.9505 2.90 0.9779−3.17 0.0169 −2.41 0.0368 −1.65 0.0871 −0.89 0.2119 −0.13 0.4514 0.63 0.7186 1.39 0.8816 2.15 0.9510 2.91 0.9782−3.16 0.0171 −2.40 0.0372 −1.64 0.0882 −0.88 0.2143 −0.12 0.4551 0.64 0.7215 1.40 0.8829 2.16 0.9516 2.92 0.9784−3.15 0.0173 −2.39 0.0376 −1.63 0.0892 −0.87 0.2167 −0.11 0.4589 0.65 0.7244 1.41 0.8843 2.17 0.9521 2.93 0.9786−3.14 0.0174 −2.38 0.0380 −1.62 0.0903 −0.86 0.2191 −0.10 0.4626 0.66 0.7273 1.42 0.8857 2.18 0.9526 2.94 0.9788−3.13 0.0176 −2.37 0.0384 −1.61 0.0913 −0.85 0.2216 −0.09 0.4663 0.67 0.7302 1.43 0.8870 2.19 0.9532 2.95 0.9790−3.12 0.0178 −2.36 0.0388 −1.60 0.0924 −0.84 0.2241 −0.08 0.4700 0.68 0.7331 1.44 0.8884 2.20 0.9537 2.96 0.9792−3.11 0.0179 −2.35 0.0393 −1.59 0.0935 −0.83 0.2266 −0.07 0.4738 0.69 0.7359 1.45 0.8897 2.21 0.9542 2.97 0.9794−3.10 0.0181 −2.34 0.0397 −1.58 0.0946 −0.82 0.2291 −0.06 0.4775 0.70 0.7387 1.46 0.8910 2.22 0.9547 2.98 0.9796−3.09 0.0183 −2.33 0.0401 −1.57 0.0958 −0.81 0.2317 −0.05 0.4813 0.71 0.7415 1.47 0.8922 2.23 0.9552 2.99 0.9798−3.08 0.0185 −2.32 0.0406 −1.56 0.0969 −0.80 0.2343 −0.04 0.4850 0.72 0.7443 1.48 0.8935 2.24 0.9557 3.00 0.9800−3.07 0.0186 −2.31 0.0410 −1.55 0.0980 −0.79 0.2369 −0.03 0.4888 0.73 0.7471 1.49 0.8948 2.25 0.9562 3.01 0.9802−3.06 0.0188 −2.30 0.0415 −1.54 0.0992 −0.78 0.2395 −0.02 0.4925 0.74 0.7498 1.50 0.8960 2.26 0.9567 3.02 0.9804−3.05 0.0190 −2.29 0.0419 −1.53 0.1004 −0.77 0.2421 −0.01 0.4963 0.75 0.7525 1.51 0.8972 2.27 0.9571 3.03 0.9806−3.04 0.0192 −2.28 0.0424 −1.52 0.1016 −0.76 0.2448 0.00 0.5000 0.76 0.7552 1.52 0.8984 2.28 0.9576 3.04 0.9808−3.03 0.0194 −2.27 0.0429 −1.51 0.1028 −0.75 0.2475 0.01 0.5037 0.77 0.7579 1.53 0.8996 2.29 0.9581 3.05 0.9810−3.02 0.0196 −2.26 0.0433 −1.50 0.1040 −0.74 0.2502 0.02 0.5075 0.78 0.7605 1.54 0.9008 2.30 0.9585 3.06 0.9812−3.01 0.0198 −2.25 0.0438 −1.49 0.1052 −0.73 0.2529 0.03 0.5112 0.79 0.7631 1.55 0.9020 2.31 0.9590 3.07 0.9814−3.00 0.0200 −2.24 0.0443 −1.48 0.1065 −0.72 0.2557 0.04 0.5150 0.80 0.7657 1.56 0.9031 2.32 0.9594 3.08 0.9815−2.99 0.0202 −2.23 0.0448 −1.47 0.1078 −0.71 0.2585 0.05 0.5187 0.81 0.7683 1.57 0.9042 2.33 0.9599 3.09 0.9817−2.98 0.0204 −2.22 0.0453 −1.46 0.1090 −0.70 0.2613 0.06 0.5225 0.82 0.7709 1.58 0.9054 2.34 0.9603 3.10 0.9819−2.97 0.0206 −2.21 0.0458 −1.45 0.1103 −0.69 0.2641 0.07 0.5262 0.83 0.7734 1.59 0.9065 2.35 0.9607 3.11 0.9821−2.96 0.0208 −2.20 0.0463 −1.44 0.1116 −0.68 0.2669 0.08 0.5300 0.84 0.7759 1.60 0.9076 2.36 0.9612 3.12 0.9822−2.95 0.0210 −2.19 0.0468 −1.43 0.1130 −0.67 0.2698 0.09 0.5337 0.85 0.7784 1.61 0.9087 2.37 0.9616 3.13 0.9824−2.94 0.0212 −2.18 0.0474 −1.42 0.1143 −0.66 0.2727 0.10 0.5374 0.86 0.7809 1.62 0.9097 2.38 0.9620 3.14 0.9826−2.93 0.0214 −2.17 0.0479 −1.41 0.1157 −0.65 0.2756 0.11 0.5411 0.87 0.7833 1.63 0.9108 2.39 0.9624 3.15 0.9827−2.92 0.0216 −2.16 0.0484 −1.40 0.1171 −0.64 0.2785 0.12 0.5449 0.88 0.7857 1.64 0.9118 2.40 0.9628 3.16 0.9829−2.91 0.0218 −2.15 0.0490 −1.39 0.1184 −0.63 0.2814 0.13 0.5486 0.89 0.7881 1.65 0.9129 2.41 0.9632 3.17 0.9831−2.90 0.0221 −2.14 0.0495 −1.38 0.1199 −0.62 0.2844 0.14 0.5523 0.90 0.7905 1.66 0.9139 2.42 0.9636 3.18 0.9832−2.89 0.0223 −2.13 0.0501 −1.37 0.1213 −0.61 0.2874 0.15 0.5560 0.91 0.7929 1.67 0.9149 2.43 0.9640 3.19 0.9834−2.88 0.0225 −2.12 0.0507 −1.36 0.1227 −0.60 0.2904 0.16 0.5597 0.92 0.7952 1.68 0.9159 2.44 0.9644 3.20 0.9835−2.87 0.0227 −2.11 0.0512 −1.35 0.1242 −0.59 0.2935 0.17 0.5634 0.93 0.7975 1.69 0.9169 2.45 0.9648 3.21 0.9837−2.86 0.0230 −2.10 0.0518 −1.34 0.1257 −0.58 0.2965 0.18 0.5670 0.94 0.7998 1.70 0.9178 2.46 0.9652 3.22 0.9839−2.85 0.0232 −2.09 0.0524 −1.33 0.1271 −0.57 0.2996 0.19 0.5707 0.95 0.8020 1.71 0.9188 2.47 0.9655 3.23 0.9840−2.84 0.0234 −2.08 0.0530 −1.32 0.1287 −0.56 0.3027 0.20 0.5744 0.96 0.8043 1.72 0.9197 2.48 0.9659 3.24 0.9842−2.83 0.0237 −2.07 0.0536 −1.31 0.1302 −0.55 0.3058 0.21 0.5780 0.97 0.8065 1.73 0.9207 2.49 0.9663 3.25 0.9843−2.82 0.0239 −2.06 0.0542 −1.30 0.1317 −0.54 0.3089 0.22 0.5817 0.98 0.8087 1.74 0.9216 2.50 0.9666 3.26 0.9845−2.81 0.0242 −2.05 0.0548 −1.29 0.1333 −0.53 0.3121 0.23 0.5853 0.99 0.8109 1.75 0.9225 2.51 0.9670 3.27 0.9846−2.80 0.0244 −2.04 0.0555 −1.28 0.1349 −0.52 0.3153 0.24 0.5889 1.00 0.8130 1.76 0.9234 2.52 0.9673 3.28 0.9847−2.79 0.0247 −2.03 0.0561 −1.27 0.1365 −0.51 0.3185 0.25 0.5925 1.01 0.8152 1.77 0.9243 2.53 0.9677 3.29 0.9849−2.78 0.0249 −2.02 0.0567 −1.26 0.1381 −0.50 0.3217 0.26 0.5962 1.02 0.8173 1.78 0.9252 2.54 0.9680 3.30 0.9850−2.77 0.0252 −2.01 0.0574 −1.25 0.1397 −0.49 0.3249 0.27 0.5997 1.03 0.8194 1.79 0.9260 2.55 0.9683 3.31 0.9852−2.76 0.0254 −2.00 0.0581 −1.24 0.1414 −0.48 0.3281 0.28 0.6033 1.04 0.8215 1.80 0.9269 2.56 0.9687 3.32 0.9853−2.75 0.0257 −1.99 0.0587 −1.23 0.1430 −0.47 0.3314 0.29 0.6069 1.05 0.8235 1.81 0.9277 2.57 0.9690 3.33 0.9854−2.74 0.0260 −1.98 0.0594 −1.22 0.1447 −0.46 0.3347 0.30 0.6104 1.06 0.8255 1.82 0.9286 2.58 0.9693 3.34 0.9856−2.73 0.0262 −1.97 0.0601 −1.21 0.1464 −0.45 0.3380 0.31 0.6140 1.07 0.8276 1.83 0.9294 2.59 0.9697 3.35 0.9857−2.72 0.0265 −1.96 0.0608 −1.20 0.1482 −0.44 0.3413 0.32 0.6175 1.08 0.8295 1.84 0.9302 2.60 0.9700 3.36 0.9858−2.71 0.0268 −1.95 0.0615 −1.19 0.1499 −0.43 0.3447 0.33 0.6210 1.09 0.8315 1.85 0.9310 2.61 0.9703 3.37 0.9860−2.70 0.0270 −1.94 0.0622 −1.18 0.1517 −0.42 0.3480 0.34 0.6245 1.10 0.8335 1.86 0.9318 2.62 0.9706 3.38 0.9861−2.69 0.0273 −1.93 0.0629 −1.17 0.1535 −0.41 0.3514 0.35 0.6280 1.11 0.8354 1.87 0.9326 2.63 0.9709 3.39 0.9862−2.68 0.0276 −1.92 0.0636 −1.16 0.1553 −0.40 0.3548 0.36 0.6315 1.12 0.8373 1.88 0.9334 2.64 0.9712 3.40 0.9864−2.67 0.0279 −1.91 0.0644 −1.15 0.1571 −0.39 0.3582 0.37 0.6349 1.13 0.8392 1.89 0.9341 2.65 0.9715 3.41 0.9865−2.66 0.0282 −1.90 0.0651 −1.14 0.1590 −0.38 0.3616 0.38 0.6384 1.14 0.8410 1.90 0.9349 2.66 0.9718 3.42 0.9866−2.65 0.0285 −1.89 0.0659 −1.13 0.1608 −0.37 0.3651 0.39 0.6418 1.15 0.8429 1.91 0.9356 2.67 0.9721 3.43 0.9867

Area Under t-distribution to the Left of t =x− µs/√n

5 degree(s) of freedom−3.40 0.0096 −2.64 0.0230 −1.88 0.0594 −1.12 0.1568 −0.36 0.3668 0.40 0.6472 1.16 0.8508 1.92 0.9435 2.68 0.9781−3.39 0.0097 −2.63 0.0233 −1.87 0.0602 −1.11 0.1588 −0.35 0.3703 0.41 0.6506 1.17 0.8526 1.93 0.9443 2.69 0.9784−3.38 0.0098 −2.62 0.0235 −1.86 0.0610 −1.10 0.1607 −0.34 0.3738 0.42 0.6540 1.18 0.8545 1.94 0.9450 2.70 0.9786−3.37 0.0099 −2.61 0.0238 −1.85 0.0618 −1.09 0.1627 −0.33 0.3774 0.43 0.6575 1.19 0.8563 1.95 0.9457 2.71 0.9789−3.36 0.0101 −2.60 0.0241 −1.84 0.0626 −1.08 0.1647 −0.32 0.3810 0.44 0.6608 1.20 0.8581 1.96 0.9464 2.72 0.9791−3.35 0.0102 −2.59 0.0244 −1.83 0.0634 −1.07 0.1668 −0.31 0.3845 0.45 0.6642 1.21 0.8598 1.97 0.9470 2.73 0.9794−3.34 0.0103 −2.58 0.0247 −1.82 0.0642 −1.06 0.1688 −0.30 0.3881 0.46 0.6676 1.22 0.8616 1.98 0.9477 2.74 0.9796−3.33 0.0104 −2.57 0.0250 −1.81 0.0650 −1.05 0.1709 −0.29 0.3917 0.47 0.6709 1.23 0.8633 1.99 0.9484 2.75 0.9798−3.32 0.0105 −2.56 0.0253 −1.80 0.0659 −1.04 0.1730 −0.28 0.3953 0.48 0.6743 1.24 0.8650 2.00 0.9490 2.76 0.9801−3.31 0.0106 −2.55 0.0256 −1.79 0.0667 −1.03 0.1751 −0.27 0.3990 0.49 0.6776 1.25 0.8667 2.01 0.9497 2.77 0.9803−3.30 0.0107 −2.54 0.0259 −1.78 0.0676 −1.02 0.1773 −0.26 0.4026 0.50 0.6809 1.26 0.8684 2.02 0.9503 2.78 0.9805−3.29 0.0109 −2.53 0.0263 −1.77 0.0685 −1.01 0.1794 −0.25 0.4063 0.51 0.6841 1.27 0.8700 2.03 0.9509 2.79 0.9808−3.28 0.0110 −2.52 0.0266 −1.76 0.0694 −1.00 0.1816 −0.24 0.4099 0.52 0.6874 1.28 0.8716 2.04 0.9516 2.80 0.9810−3.27 0.0111 −2.51 0.0269 −1.75 0.0703 −0.99 0.1838 −0.23 0.4136 0.53 0.6906 1.29 0.8733 2.05 0.9522 2.81 0.9812−3.26 0.0112 −2.50 0.0272 −1.74 0.0712 −0.98 0.1860 −0.22 0.4173 0.54 0.6938 1.30 0.8748 2.06 0.9528 2.82 0.9814−3.25 0.0113 −2.49 0.0276 −1.73 0.0721 −0.97 0.1883 −0.21 0.4210 0.55 0.6970 1.31 0.8764 2.07 0.9534 2.83 0.9817−3.24 0.0115 −2.48 0.0279 −1.72 0.0730 −0.96 0.1906 −0.20 0.4247 0.56 0.7002 1.32 0.8780 2.08 0.9540 2.84 0.9819−3.23 0.0116 −2.47 0.0283 −1.71 0.0740 −0.95 0.1929 −0.19 0.4284 0.57 0.7033 1.33 0.8795 2.09 0.9546 2.85 0.9821−3.22 0.0117 −2.46 0.0286 −1.70 0.0749 −0.94 0.1952 −0.18 0.4321 0.58 0.7065 1.34 0.8810 2.10 0.9551 2.86 0.9823−3.21 0.0119 −2.45 0.0290 −1.69 0.0759 −0.93 0.1975 −0.17 0.4358 0.59 0.7096 1.35 0.8825 2.11 0.9557 2.87 0.9825−3.20 0.0120 −2.44 0.0293 −1.68 0.0769 −0.92 0.1999 −0.16 0.4396 0.60 0.7127 1.36 0.8840 2.12 0.9562 2.88 0.9827−3.19 0.0121 −2.43 0.0297 −1.67 0.0779 −0.91 0.2023 −0.15 0.4433 0.61 0.7157 1.37 0.8855 2.13 0.9568 2.89 0.9829−3.18 0.0123 −2.42 0.0301 −1.66 0.0789 −0.90 0.2047 −0.14 0.4471 0.62 0.7188 1.38 0.8869 2.14 0.9573 2.90 0.9831−3.17 0.0124 −2.41 0.0304 −1.65 0.0799 −0.89 0.2071 −0.13 0.4508 0.63 0.7218 1.39 0.8884 2.15 0.9579 2.91 0.9833−3.16 0.0125 −2.40 0.0308 −1.64 0.0810 −0.88 0.2096 −0.12 0.4546 0.64 0.7248 1.40 0.8898 2.16 0.9584 2.92 0.9835−3.15 0.0127 −2.39 0.0312 −1.63 0.0820 −0.87 0.2120 −0.11 0.4583 0.65 0.7278 1.41 0.8912 2.17 0.9589 2.93 0.9837−3.14 0.0128 −2.38 0.0316 −1.62 0.0831 −0.86 0.2145 −0.10 0.4621 0.66 0.7308 1.42 0.8926 2.18 0.9594 2.94 0.9839−3.13 0.0130 −2.37 0.0320 −1.61 0.0842 −0.85 0.2171 −0.09 0.4659 0.67 0.7337 1.43 0.8939 2.19 0.9600 2.95 0.9841−3.12 0.0131 −2.36 0.0324 −1.60 0.0852 −0.84 0.2196 −0.08 0.4697 0.68 0.7366 1.44 0.8953 2.20 0.9605 2.96 0.9842−3.11 0.0133 −2.35 0.0328 −1.59 0.0864 −0.83 0.2222 −0.07 0.4735 0.69 0.7395 1.45 0.8966 2.21 0.9609 2.97 0.9844−3.10 0.0134 −2.34 0.0332 −1.58 0.0875 −0.82 0.2248 −0.06 0.4772 0.70 0.7424 1.46 0.8979 2.22 0.9614 2.98 0.9846−3.09 0.0136 −2.33 0.0336 −1.57 0.0886 −0.81 0.2274 −0.05 0.4810 0.71 0.7453 1.47 0.8992 2.23 0.9619 2.99 0.9848−3.08 0.0137 −2.32 0.0340 −1.56 0.0898 −0.80 0.2300 −0.04 0.4848 0.72 0.7481 1.48 0.9005 2.24 0.9624 3.00 0.9850−3.07 0.0139 −2.31 0.0345 −1.55 0.0909 −0.79 0.2327 −0.03 0.4886 0.73 0.7509 1.49 0.9018 2.25 0.9629 3.01 0.9851−3.06 0.0141 −2.30 0.0349 −1.54 0.0921 −0.78 0.2353 −0.02 0.4924 0.74 0.7537 1.50 0.9030 2.26 0.9633 3.02 0.9853−3.05 0.0142 −2.29 0.0353 −1.53 0.0933 −0.77 0.2380 −0.01 0.4962 0.75 0.7565 1.51 0.9043 2.27 0.9638 3.03 0.9855−3.04 0.0144 −2.28 0.0358 −1.52 0.0945 −0.76 0.2408 0.00 0.5000 0.76 0.7592 1.52 0.9055 2.28 0.9642 3.04 0.9856−3.03 0.0145 −2.27 0.0362 −1.51 0.0957 −0.75 0.2435 0.01 0.5038 0.77 0.7620 1.53 0.9067 2.29 0.9647 3.05 0.9858−3.02 0.0147 −2.26 0.0367 −1.50 0.0970 −0.74 0.2463 0.02 0.5076 0.78 0.7647 1.54 0.9079 2.30 0.9651 3.06 0.9859−3.01 0.0149 −2.25 0.0371 −1.49 0.0982 −0.73 0.2491 0.03 0.5114 0.79 0.7673 1.55 0.9091 2.31 0.9655 3.07 0.9861−3.00 0.0150 −2.24 0.0376 −1.48 0.0995 −0.72 0.2519 0.04 0.5152 0.80 0.7700 1.56 0.9102 2.32 0.9660 3.08 0.9863−2.99 0.0152 −2.23 0.0381 −1.47 0.1008 −0.71 0.2547 0.05 0.5190 0.81 0.7726 1.57 0.9114 2.33 0.9664 3.09 0.9864−2.98 0.0154 −2.22 0.0386 −1.46 0.1021 −0.70 0.2576 0.06 0.5228 0.82 0.7752 1.58 0.9125 2.34 0.9668 3.10 0.9866−2.97 0.0156 −2.21 0.0391 −1.45 0.1034 −0.69 0.2605 0.07 0.5265 0.83 0.7778 1.59 0.9136 2.35 0.9672 3.11 0.9867−2.96 0.0158 −2.20 0.0395 −1.44 0.1047 −0.68 0.2634 0.08 0.5303 0.84 0.7804 1.60 0.9148 2.36 0.9676 3.12 0.9869−2.95 0.0159 −2.19 0.0400 −1.43 0.1061 −0.67 0.2663 0.09 0.5341 0.85 0.7829 1.61 0.9158 2.37 0.9680 3.13 0.9870−2.94 0.0161 −2.18 0.0406 −1.42 0.1074 −0.66 0.2692 0.10 0.5379 0.86 0.7855 1.62 0.9169 2.38 0.9684 3.14 0.9872−2.93 0.0163 −2.17 0.0411 −1.41 0.1088 −0.65 0.2722 0.11 0.5417 0.87 0.7880 1.63 0.9180 2.39 0.9688 3.15 0.9873−2.92 0.0165 −2.16 0.0416 −1.40 0.1102 −0.64 0.2752 0.12 0.5454 0.88 0.7904 1.64 0.9190 2.40 0.9692 3.16 0.9875−2.91 0.0167 −2.15 0.0421 −1.39 0.1116 −0.63 0.2782 0.13 0.5492 0.89 0.7929 1.65 0.9201 2.41 0.9696 3.17 0.9876−2.90 0.0169 −2.14 0.0427 −1.38 0.1131 −0.62 0.2812 0.14 0.5529 0.90 0.7953 1.66 0.9211 2.42 0.9699 3.18 0.9877−2.89 0.0171 −2.13 0.0432 −1.37 0.1145 −0.61 0.2843 0.15 0.5567 0.91 0.7977 1.67 0.9221 2.43 0.9703 3.19 0.9879−2.88 0.0173 −2.12 0.0438 −1.36 0.1160 −0.60 0.2873 0.16 0.5604 0.92 0.8001 1.68 0.9231 2.44 0.9707 3.20 0.9880−2.87 0.0175 −2.11 0.0443 −1.35 0.1175 −0.59 0.2904 0.17 0.5642 0.93 0.8025 1.69 0.9241 2.45 0.9710 3.21 0.9881−2.86 0.0177 −2.10 0.0449 −1.34 0.1190 −0.58 0.2935 0.18 0.5679 0.94 0.8048 1.70 0.9251 2.46 0.9714 3.22 0.9883−2.85 0.0179 −2.09 0.0454 −1.33 0.1205 −0.57 0.2967 0.19 0.5716 0.95 0.8071 1.71 0.9260 2.47 0.9717 3.23 0.9884−2.84 0.0181 −2.08 0.0460 −1.32 0.1220 −0.56 0.2998 0.20 0.5753 0.96 0.8094 1.72 0.9270 2.48 0.9721 3.24 0.9885−2.83 0.0183 −2.07 0.0466 −1.31 0.1236 −0.55 0.3030 0.21 0.5790 0.97 0.8117 1.73 0.9279 2.49 0.9724 3.25 0.9887−2.82 0.0186 −2.06 0.0472 −1.30 0.1252 −0.54 0.3062 0.22 0.5827 0.98 0.8140 1.74 0.9288 2.50 0.9728 3.26 0.9888−2.81 0.0188 −2.05 0.0478 −1.29 0.1267 −0.53 0.3094 0.23 0.5864 0.99 0.8162 1.75 0.9297 2.51 0.9731 3.27 0.9889−2.80 0.0190 −2.04 0.0484 −1.28 0.1284 −0.52 0.3126 0.24 0.5901 1.00 0.8184 1.76 0.9306 2.52 0.9734 3.28 0.9890−2.79 0.0192 −2.03 0.0491 −1.27 0.1300 −0.51 0.3159 0.25 0.5937 1.01 0.8206 1.77 0.9315 2.53 0.9737 3.29 0.9891−2.78 0.0195 −2.02 0.0497 −1.26 0.1316 −0.50 0.3191 0.26 0.5974 1.02 0.8227 1.78 0.9324 2.54 0.9741 3.30 0.9893−2.77 0.0197 −2.01 0.0503 −1.25 0.1333 −0.49 0.3224 0.27 0.6010 1.03 0.8249 1.79 0.9333 2.55 0.9744 3.31 0.9894−2.76 0.0199 −2.00 0.0510 −1.24 0.1350 −0.48 0.3257 0.28 0.6047 1.04 0.8270 1.80 0.9341 2.56 0.9747 3.32 0.9895−2.75 0.0202 −1.99 0.0516 −1.23 0.1367 −0.47 0.3291 0.29 0.6083 1.05 0.8291 1.81 0.9350 2.57 0.9750 3.33 0.9896−2.74 0.0204 −1.98 0.0523 −1.22 0.1384 −0.46 0.3324 0.30 0.6119 1.06 0.8312 1.82 0.9358 2.58 0.9753 3.34 0.9897−2.73 0.0206 −1.97 0.0530 −1.21 0.1402 −0.45 0.3358 0.31 0.6155 1.07 0.8332 1.83 0.9366 2.59 0.9756 3.35 0.9898−2.72 0.0209 −1.96 0.0536 −1.20 0.1419 −0.44 0.3392 0.32 0.6190 1.08 0.8353 1.84 0.9374 2.60 0.9759 3.36 0.9899−2.71 0.0211 −1.95 0.0543 −1.19 0.1437 −0.43 0.3425 0.33 0.6226 1.09 0.8373 1.85 0.9382 2.61 0.9762 3.37 0.9901−2.70 0.0214 −1.94 0.0550 −1.18 0.1455 −0.42 0.3460 0.34 0.6262 1.10 0.8393 1.86 0.9390 2.62 0.9765 3.38 0.9902−2.69 0.0216 −1.93 0.0557 −1.17 0.1474 −0.41 0.3494 0.35 0.6297 1.11 0.8412 1.87 0.9398 2.63 0.9767 3.39 0.9903−2.68 0.0219 −1.92 0.0565 −1.16 0.1492 −0.40 0.3528 0.36 0.6332 1.12 0.8432 1.88 0.9406 2.64 0.9770 3.40 0.9904−2.67 0.0222 −1.91 0.0572 −1.15 0.1511 −0.39 0.3563 0.37 0.6367 1.13 0.8451 1.89 0.9413 2.65 0.9773 3.41 0.9905−2.66 0.0224 −1.90 0.0579 −1.14 0.1530 −0.38 0.3598 0.38 0.6402 1.14 0.8470 1.90 0.9421 2.66 0.9776 3.42 0.9906−2.65 0.0227 −1.89 0.0587 −1.13 0.1549 −0.37 0.3633 0.39 0.6437 1.15 0.8489 1.91 0.9428 2.67 0.9778 3.43 0.9907

Area Under t-distribution to the Left of t =x− µs/√n

6 degree(s) of freedom−3.40 0.0072 −2.64 0.0193 −1.88 0.0546 −1.12 0.1528 −0.36 0.3656 0.40 0.6485 1.16 0.8549 1.92 0.9484 2.68 0.9817−3.39 0.0073 −2.63 0.0195 −1.87 0.0553 −1.11 0.1547 −0.35 0.3691 0.41 0.6520 1.17 0.8568 1.93 0.9491 2.69 0.9820−3.38 0.0074 −2.62 0.0198 −1.86 0.0561 −1.10 0.1567 −0.34 0.3727 0.42 0.6554 1.18 0.8587 1.94 0.9498 2.70 0.9822−3.37 0.0075 −2.61 0.0201 −1.85 0.0569 −1.09 0.1588 −0.33 0.3763 0.43 0.6589 1.19 0.8605 1.95 0.9505 2.71 0.9824−3.36 0.0076 −2.60 0.0203 −1.84 0.0577 −1.08 0.1608 −0.32 0.3799 0.44 0.6623 1.20 0.8623 1.96 0.9512 2.72 0.9827−3.35 0.0077 −2.59 0.0206 −1.83 0.0585 −1.07 0.1629 −0.31 0.3835 0.45 0.6657 1.21 0.8641 1.97 0.9518 2.73 0.9829−3.34 0.0078 −2.58 0.0209 −1.82 0.0593 −1.06 0.1650 −0.30 0.3871 0.46 0.6691 1.22 0.8659 1.98 0.9525 2.74 0.9831−3.33 0.0079 −2.57 0.0212 −1.81 0.0601 −1.05 0.1671 −0.29 0.3908 0.47 0.6725 1.23 0.8676 1.99 0.9531 2.75 0.9834−3.32 0.0080 −2.56 0.0215 −1.80 0.0610 −1.04 0.1692 −0.28 0.3944 0.48 0.6759 1.24 0.8694 2.00 0.9538 2.76 0.9836−3.31 0.0081 −2.55 0.0217 −1.79 0.0618 −1.03 0.1714 −0.27 0.3981 0.49 0.6792 1.25 0.8711 2.01 0.9544 2.77 0.9838−3.30 0.0082 −2.54 0.0220 −1.78 0.0627 −1.02 0.1735 −0.26 0.4018 0.50 0.6826 1.26 0.8728 2.02 0.9550 2.78 0.9840−3.29 0.0083 −2.53 0.0223 −1.77 0.0636 −1.01 0.1757 −0.25 0.4055 0.51 0.6859 1.27 0.8744 2.03 0.9557 2.79 0.9842−3.28 0.0084 −2.52 0.0226 −1.76 0.0644 −1.00 0.1780 −0.24 0.4092 0.52 0.6892 1.28 0.8761 2.04 0.9563 2.80 0.9844−3.27 0.0085 −2.51 0.0230 −1.75 0.0653 −0.99 0.1802 −0.23 0.4129 0.53 0.6924 1.29 0.8777 2.05 0.9569 2.81 0.9846−3.26 0.0086 −2.50 0.0233 −1.74 0.0663 −0.98 0.1825 −0.22 0.4166 0.54 0.6957 1.30 0.8793 2.06 0.9575 2.82 0.9848−3.25 0.0087 −2.49 0.0236 −1.73 0.0672 −0.97 0.1848 −0.21 0.4203 0.55 0.6989 1.31 0.8809 2.07 0.9581 2.83 0.9850−3.24 0.0088 −2.48 0.0239 −1.72 0.0681 −0.96 0.1871 −0.20 0.4240 0.56 0.7021 1.32 0.8825 2.08 0.9586 2.84 0.9852−3.23 0.0090 −2.47 0.0242 −1.71 0.0691 −0.95 0.1894 −0.19 0.4278 0.57 0.7053 1.33 0.8841 2.09 0.9592 2.85 0.9854−3.22 0.0091 −2.46 0.0246 −1.70 0.0700 −0.94 0.1918 −0.18 0.4315 0.58 0.7085 1.34 0.8856 2.10 0.9598 2.86 0.9856−3.21 0.0092 −2.45 0.0249 −1.69 0.0710 −0.93 0.1941 −0.17 0.4353 0.59 0.7116 1.35 0.8871 2.11 0.9603 2.87 0.9858−3.20 0.0093 −2.44 0.0252 −1.68 0.0720 −0.92 0.1965 −0.16 0.4391 0.60 0.7148 1.36 0.8886 2.12 0.9609 2.88 0.9860−3.19 0.0094 −2.43 0.0256 −1.67 0.0730 −0.91 0.1990 −0.15 0.4428 0.61 0.7179 1.37 0.8901 2.13 0.9614 2.89 0.9862−3.18 0.0095 −2.42 0.0259 −1.66 0.0740 −0.90 0.2014 −0.14 0.4466 0.62 0.7210 1.38 0.8916 2.14 0.9619 2.90 0.9863−3.17 0.0097 −2.41 0.0263 −1.65 0.0750 −0.89 0.2039 −0.13 0.4504 0.63 0.7240 1.39 0.8930 2.15 0.9624 2.91 0.9865−3.16 0.0098 −2.40 0.0266 −1.64 0.0761 −0.88 0.2064 −0.12 0.4542 0.64 0.7271 1.40 0.8945 2.16 0.9630 2.92 0.9867−3.15 0.0099 −2.39 0.0270 −1.63 0.0771 −0.87 0.2089 −0.11 0.4580 0.65 0.7301 1.41 0.8959 2.17 0.9635 2.93 0.9869−3.14 0.0100 −2.38 0.0274 −1.62 0.0782 −0.86 0.2114 −0.10 0.4618 0.66 0.7331 1.42 0.8973 2.18 0.9640 2.94 0.9870−3.13 0.0102 −2.37 0.0278 −1.61 0.0793 −0.85 0.2140 −0.09 0.4656 0.67 0.7361 1.43 0.8987 2.19 0.9645 2.95 0.9872−3.12 0.0103 −2.36 0.0281 −1.60 0.0804 −0.84 0.2165 −0.08 0.4694 0.68 0.7391 1.44 0.9000 2.20 0.9649 2.96 0.9874−3.11 0.0104 −2.35 0.0285 −1.59 0.0815 −0.83 0.2192 −0.07 0.4732 0.69 0.7420 1.45 0.9014 2.21 0.9654 2.97 0.9875−3.10 0.0106 −2.34 0.0289 −1.58 0.0826 −0.82 0.2218 −0.06 0.4771 0.70 0.7449 1.46 0.9027 2.22 0.9659 2.98 0.9877−3.09 0.0107 −2.33 0.0293 −1.57 0.0837 −0.81 0.2244 −0.05 0.4809 0.71 0.7478 1.47 0.9040 2.23 0.9664 2.99 0.9878−3.08 0.0108 −2.32 0.0297 −1.56 0.0849 −0.80 0.2271 −0.04 0.4847 0.72 0.7507 1.48 0.9053 2.24 0.9668 3.00 0.9880−3.07 0.0110 −2.31 0.0301 −1.55 0.0861 −0.79 0.2298 −0.03 0.4885 0.73 0.7536 1.49 0.9066 2.25 0.9673 3.01 0.9881−3.06 0.0111 −2.30 0.0306 −1.54 0.0872 −0.78 0.2325 −0.02 0.4923 0.74 0.7564 1.50 0.9079 2.26 0.9677 3.02 0.9883−3.05 0.0113 −2.29 0.0310 −1.53 0.0884 −0.77 0.2353 −0.01 0.4962 0.75 0.7592 1.51 0.9091 2.27 0.9682 3.03 0.9885−3.04 0.0114 −2.28 0.0314 −1.52 0.0897 −0.76 0.2380 0.00 0.5000 0.76 0.7620 1.52 0.9103 2.28 0.9686 3.04 0.9886−3.03 0.0115 −2.27 0.0318 −1.51 0.0909 −0.75 0.2408 0.01 0.5038 0.77 0.7647 1.53 0.9116 2.29 0.9690 3.05 0.9887−3.02 0.0117 −2.26 0.0323 −1.50 0.0921 −0.74 0.2436 0.02 0.5077 0.78 0.7675 1.54 0.9128 2.30 0.9694 3.06 0.9889−3.01 0.0119 −2.25 0.0327 −1.49 0.0934 −0.73 0.2464 0.03 0.5115 0.79 0.7702 1.55 0.9139 2.31 0.9699 3.07 0.9890−3.00 0.0120 −2.24 0.0332 −1.48 0.0947 −0.72 0.2493 0.04 0.5153 0.80 0.7729 1.56 0.9151 2.32 0.9703 3.08 0.9892−2.99 0.0122 −2.23 0.0336 −1.47 0.0960 −0.71 0.2522 0.05 0.5191 0.81 0.7756 1.57 0.9163 2.33 0.9707 3.09 0.9893−2.98 0.0123 −2.22 0.0341 −1.46 0.0973 −0.70 0.2551 0.06 0.5229 0.82 0.7782 1.58 0.9174 2.34 0.9711 3.10 0.9894−2.97 0.0125 −2.21 0.0346 −1.45 0.0986 −0.69 0.2580 0.07 0.5268 0.83 0.7808 1.59 0.9185 2.35 0.9715 3.11 0.9896−2.96 0.0126 −2.20 0.0351 −1.44 0.1000 −0.68 0.2609 0.08 0.5306 0.84 0.7835 1.60 0.9196 2.36 0.9719 3.12 0.9897−2.95 0.0128 −2.19 0.0355 −1.43 0.1013 −0.67 0.2639 0.09 0.5344 0.85 0.7860 1.61 0.9207 2.37 0.9722 3.13 0.9898−2.94 0.0130 −2.18 0.0360 −1.42 0.1027 −0.66 0.2669 0.10 0.5382 0.86 0.7886 1.62 0.9218 2.38 0.9726 3.14 0.9900−2.93 0.0131 −2.17 0.0365 −1.41 0.1041 −0.65 0.2699 0.11 0.5420 0.87 0.7911 1.63 0.9229 2.39 0.9730 3.15 0.9901−2.92 0.0133 −2.16 0.0370 −1.40 0.1055 −0.64 0.2729 0.12 0.5458 0.88 0.7936 1.64 0.9239 2.40 0.9734 3.16 0.9902−2.91 0.0135 −2.15 0.0376 −1.39 0.1070 −0.63 0.2760 0.13 0.5496 0.89 0.7961 1.65 0.9250 2.41 0.9737 3.17 0.9903−2.90 0.0137 −2.14 0.0381 −1.38 0.1084 −0.62 0.2790 0.14 0.5534 0.90 0.7986 1.66 0.9260 2.42 0.9741 3.18 0.9905−2.89 0.0138 −2.13 0.0386 −1.37 0.1099 −0.61 0.2821 0.15 0.5572 0.91 0.8010 1.67 0.9270 2.43 0.9744 3.19 0.9906−2.88 0.0140 −2.12 0.0391 −1.36 0.1114 −0.60 0.2852 0.16 0.5609 0.92 0.8035 1.68 0.9280 2.44 0.9748 3.20 0.9907−2.87 0.0142 −2.11 0.0397 −1.35 0.1129 −0.59 0.2884 0.17 0.5647 0.93 0.8059 1.69 0.9290 2.45 0.9751 3.21 0.9908−2.86 0.0144 −2.10 0.0402 −1.34 0.1144 −0.58 0.2915 0.18 0.5685 0.94 0.8082 1.70 0.9300 2.46 0.9754 3.22 0.9909−2.85 0.0146 −2.09 0.0408 −1.33 0.1159 −0.57 0.2947 0.19 0.5722 0.95 0.8106 1.71 0.9309 2.47 0.9758 3.23 0.9910−2.84 0.0148 −2.08 0.0414 −1.32 0.1175 −0.56 0.2979 0.20 0.5760 0.96 0.8129 1.72 0.9319 2.48 0.9761 3.24 0.9912−2.83 0.0150 −2.07 0.0419 −1.31 0.1191 −0.55 0.3011 0.21 0.5797 0.97 0.8152 1.73 0.9328 2.49 0.9764 3.25 0.9913−2.82 0.0152 −2.06 0.0425 −1.30 0.1207 −0.54 0.3043 0.22 0.5834 0.98 0.8175 1.74 0.9337 2.50 0.9767 3.26 0.9914−2.81 0.0154 −2.05 0.0431 −1.29 0.1223 −0.53 0.3076 0.23 0.5871 0.99 0.8198 1.75 0.9347 2.51 0.9770 3.27 0.9915−2.80 0.0156 −2.04 0.0437 −1.28 0.1239 −0.52 0.3108 0.24 0.5908 1.00 0.8220 1.76 0.9356 2.52 0.9774 3.28 0.9916−2.79 0.0158 −2.03 0.0443 −1.27 0.1256 −0.51 0.3141 0.25 0.5945 1.01 0.8243 1.77 0.9364 2.53 0.9777 3.29 0.9917−2.78 0.0160 −2.02 0.0450 −1.26 0.1272 −0.50 0.3174 0.26 0.5982 1.02 0.8265 1.78 0.9373 2.54 0.9780 3.30 0.9918−2.77 0.0162 −2.01 0.0456 −1.25 0.1289 −0.49 0.3208 0.27 0.6019 1.03 0.8286 1.79 0.9382 2.55 0.9783 3.31 0.9919−2.76 0.0164 −2.00 0.0462 −1.24 0.1306 −0.48 0.3241 0.28 0.6056 1.04 0.8308 1.80 0.9390 2.56 0.9785 3.32 0.9920−2.75 0.0166 −1.99 0.0469 −1.23 0.1324 −0.47 0.3275 0.29 0.6092 1.05 0.8329 1.81 0.9399 2.57 0.9788 3.33 0.9921−2.74 0.0169 −1.98 0.0475 −1.22 0.1341 −0.46 0.3309 0.30 0.6129 1.06 0.8350 1.82 0.9407 2.58 0.9791 3.34 0.9922−2.73 0.0171 −1.97 0.0482 −1.21 0.1359 −0.45 0.3343 0.31 0.6165 1.07 0.8371 1.83 0.9415 2.59 0.9794 3.35 0.9923−2.72 0.0173 −1.96 0.0488 −1.20 0.1377 −0.44 0.3377 0.32 0.6201 1.08 0.8392 1.84 0.9423 2.60 0.9797 3.36 0.9924−2.71 0.0176 −1.95 0.0495 −1.19 0.1395 −0.43 0.3411 0.33 0.6237 1.09 0.8412 1.85 0.9431 2.61 0.9799 3.37 0.9925−2.70 0.0178 −1.94 0.0502 −1.18 0.1413 −0.42 0.3446 0.34 0.6273 1.10 0.8433 1.86 0.9439 2.62 0.9802 3.38 0.9926−2.69 0.0180 −1.93 0.0509 −1.17 0.1432 −0.41 0.3480 0.35 0.6309 1.11 0.8453 1.87 0.9447 2.63 0.9805 3.39 0.9927−2.68 0.0183 −1.92 0.0516 −1.16 0.1451 −0.40 0.3515 0.36 0.6344 1.12 0.8472 1.88 0.9454 2.64 0.9807 3.40 0.9928−2.67 0.0185 −1.91 0.0524 −1.15 0.1470 −0.39 0.3550 0.37 0.6380 1.13 0.8492 1.89 0.9462 2.65 0.9810 3.41 0.9928−2.66 0.0188 −1.90 0.0531 −1.14 0.1489 −0.38 0.3585 0.38 0.6415 1.14 0.8511 1.90 0.9469 2.66 0.9812 3.42 0.9929−2.65 0.0190 −1.89 0.0538 −1.13 0.1508 −0.37 0.3620 0.39 0.6450 1.15 0.8530 1.91 0.9476 2.67 0.9815 3.43 0.9930

Area Under t-distribution to the Left of t =x− µs/√n

7 degree(s) of freedom−3.40 0.0057 −2.64 0.0167 −1.88 0.0511 −1.12 0.1498 −0.36 0.3647 0.40 0.6495 1.16 0.8580 1.92 0.9518 2.68 0.9842−3.39 0.0058 −2.63 0.0170 −1.87 0.0518 −1.11 0.1518 −0.35 0.3683 0.41 0.6530 1.17 0.8599 1.93 0.9525 2.69 0.9845−3.38 0.0059 −2.62 0.0172 −1.86 0.0526 −1.10 0.1539 −0.34 0.3719 0.42 0.6565 1.18 0.8617 1.94 0.9532 2.70 0.9847−3.37 0.0060 −2.61 0.0175 −1.85 0.0534 −1.09 0.1559 −0.33 0.3755 0.43 0.6599 1.19 0.8636 1.95 0.9539 2.71 0.9849−3.36 0.0060 −2.60 0.0177 −1.84 0.0542 −1.08 0.1580 −0.32 0.3792 0.44 0.6634 1.20 0.8654 1.96 0.9546 2.72 0.9851−3.35 0.0061 −2.59 0.0180 −1.83 0.0550 −1.07 0.1601 −0.31 0.3828 0.45 0.6668 1.21 0.8672 1.97 0.9553 2.73 0.9853−3.34 0.0062 −2.58 0.0182 −1.82 0.0558 −1.06 0.1622 −0.30 0.3864 0.46 0.6703 1.22 0.8690 1.98 0.9559 2.74 0.9855−3.33 0.0063 −2.57 0.0185 −1.81 0.0566 −1.05 0.1643 −0.29 0.3901 0.47 0.6737 1.23 0.8708 1.99 0.9566 2.75 0.9857−3.32 0.0064 −2.56 0.0188 −1.80 0.0574 −1.04 0.1665 −0.28 0.3938 0.48 0.6771 1.24 0.8725 2.00 0.9572 2.76 0.9860−3.31 0.0065 −2.55 0.0191 −1.79 0.0583 −1.03 0.1686 −0.27 0.3975 0.49 0.6804 1.25 0.8743 2.01 0.9578 2.77 0.9862−3.30 0.0066 −2.54 0.0193 −1.78 0.0591 −1.02 0.1708 −0.26 0.4012 0.50 0.6838 1.26 0.8760 2.02 0.9584 2.78 0.9864−3.29 0.0067 −2.53 0.0196 −1.77 0.0600 −1.01 0.1731 −0.25 0.4049 0.51 0.6871 1.27 0.8777 2.03 0.9590 2.79 0.9865−3.28 0.0067 −2.52 0.0199 −1.76 0.0609 −1.00 0.1753 −0.24 0.4086 0.52 0.6905 1.28 0.8793 2.04 0.9596 2.80 0.9867−3.27 0.0068 −2.51 0.0202 −1.75 0.0618 −0.99 0.1776 −0.23 0.4123 0.53 0.6937 1.29 0.8810 2.05 0.9602 2.81 0.9869−3.26 0.0069 −2.50 0.0205 −1.74 0.0627 −0.98 0.1799 −0.22 0.4161 0.54 0.6970 1.30 0.8826 2.06 0.9608 2.82 0.9871−3.25 0.0070 −2.49 0.0208 −1.73 0.0636 −0.97 0.1822 −0.21 0.4198 0.55 0.7003 1.31 0.8842 2.07 0.9614 2.83 0.9873−3.24 0.0071 −2.48 0.0211 −1.72 0.0646 −0.96 0.1845 −0.20 0.4236 0.56 0.7035 1.32 0.8858 2.08 0.9620 2.84 0.9875−3.23 0.0072 −2.47 0.0214 −1.71 0.0655 −0.95 0.1869 −0.19 0.4274 0.57 0.7068 1.33 0.8874 2.09 0.9625 2.85 0.9877−3.22 0.0073 −2.46 0.0217 −1.70 0.0665 −0.94 0.1893 −0.18 0.4311 0.58 0.7100 1.34 0.8889 2.10 0.9631 2.86 0.9878−3.21 0.0074 −2.45 0.0221 −1.69 0.0674 −0.93 0.1917 −0.17 0.4349 0.59 0.7131 1.35 0.8905 2.11 0.9636 2.87 0.9880−3.20 0.0075 −2.44 0.0224 −1.68 0.0684 −0.92 0.1941 −0.16 0.4387 0.60 0.7163 1.36 0.8920 2.12 0.9641 2.88 0.9882−3.19 0.0076 −2.43 0.0227 −1.67 0.0694 −0.91 0.1965 −0.15 0.4425 0.61 0.7194 1.37 0.8935 2.13 0.9647 2.89 0.9883−3.18 0.0077 −2.42 0.0230 −1.66 0.0704 −0.90 0.1990 −0.14 0.4463 0.62 0.7226 1.38 0.8950 2.14 0.9652 2.90 0.9885−3.17 0.0079 −2.41 0.0234 −1.65 0.0715 −0.89 0.2015 −0.13 0.4501 0.63 0.7257 1.39 0.8964 2.15 0.9657 2.91 0.9887−3.16 0.0080 −2.40 0.0237 −1.64 0.0725 −0.88 0.2040 −0.12 0.4539 0.64 0.7287 1.40 0.8979 2.16 0.9662 2.92 0.9888−3.15 0.0081 −2.39 0.0241 −1.63 0.0736 −0.87 0.2066 −0.11 0.4577 0.65 0.7318 1.41 0.8993 2.17 0.9667 2.93 0.9890−3.14 0.0082 −2.38 0.0244 −1.62 0.0746 −0.86 0.2091 −0.10 0.4616 0.66 0.7348 1.42 0.9007 2.18 0.9672 2.94 0.9891−3.13 0.0083 −2.37 0.0248 −1.61 0.0757 −0.85 0.2117 −0.09 0.4654 0.67 0.7378 1.43 0.9021 2.19 0.9677 2.95 0.9893−3.12 0.0084 −2.36 0.0252 −1.60 0.0768 −0.84 0.2143 −0.08 0.4692 0.68 0.7408 1.44 0.9035 2.20 0.9681 2.96 0.9894−3.11 0.0085 −2.35 0.0255 −1.59 0.0779 −0.83 0.2170 −0.07 0.4731 0.69 0.7438 1.45 0.9048 2.21 0.9686 2.97 0.9896−3.10 0.0087 −2.34 0.0259 −1.58 0.0791 −0.82 0.2196 −0.06 0.4769 0.70 0.7467 1.46 0.9062 2.22 0.9691 2.98 0.9897−3.09 0.0088 −2.33 0.0263 −1.57 0.0802 −0.81 0.2223 −0.05 0.4808 0.71 0.7497 1.47 0.9075 2.23 0.9695 2.99 0.9899−3.08 0.0089 −2.32 0.0267 −1.56 0.0814 −0.80 0.2250 −0.04 0.4846 0.72 0.7526 1.48 0.9088 2.24 0.9700 3.00 0.9900−3.07 0.0090 −2.31 0.0271 −1.55 0.0825 −0.79 0.2277 −0.03 0.4885 0.73 0.7555 1.49 0.9101 2.25 0.9704 3.01 0.9902−3.06 0.0092 −2.30 0.0275 −1.54 0.0837 −0.78 0.2305 −0.02 0.4923 0.74 0.7583 1.50 0.9114 2.26 0.9708 3.02 0.9903−3.05 0.0093 −2.29 0.0279 −1.53 0.0849 −0.77 0.2332 −0.01 0.4962 0.75 0.7612 1.51 0.9126 2.27 0.9713 3.03 0.9904−3.04 0.0094 −2.28 0.0283 −1.52 0.0862 −0.76 0.2360 0.00 0.5000 0.76 0.7640 1.52 0.9138 2.28 0.9717 3.04 0.9906−3.03 0.0096 −2.27 0.0287 −1.51 0.0874 −0.75 0.2388 0.01 0.5038 0.77 0.7668 1.53 0.9151 2.29 0.9721 3.05 0.9907−3.02 0.0097 −2.26 0.0292 −1.50 0.0886 −0.74 0.2417 0.02 0.5077 0.78 0.7695 1.54 0.9163 2.30 0.9725 3.06 0.9908−3.01 0.0098 −2.25 0.0296 −1.49 0.0899 −0.73 0.2445 0.03 0.5115 0.79 0.7723 1.55 0.9175 2.31 0.9729 3.07 0.9910−3.00 0.0100 −2.24 0.0300 −1.48 0.0912 −0.72 0.2474 0.04 0.5154 0.80 0.7750 1.56 0.9186 2.32 0.9733 3.08 0.9911−2.99 0.0101 −2.23 0.0305 −1.47 0.0925 −0.71 0.2503 0.05 0.5192 0.81 0.7777 1.57 0.9198 2.33 0.9737 3.09 0.9912−2.98 0.0103 −2.22 0.0309 −1.46 0.0938 −0.70 0.2533 0.06 0.5231 0.82 0.7804 1.58 0.9209 2.34 0.9741 3.10 0.9913−2.97 0.0104 −2.21 0.0314 −1.45 0.0952 −0.69 0.2562 0.07 0.5269 0.83 0.7830 1.59 0.9221 2.35 0.9745 3.11 0.9915−2.96 0.0106 −2.20 0.0319 −1.44 0.0965 −0.68 0.2592 0.08 0.5308 0.84 0.7857 1.60 0.9232 2.36 0.9748 3.12 0.9916−2.95 0.0107 −2.19 0.0323 −1.43 0.0979 −0.67 0.2622 0.09 0.5346 0.85 0.7883 1.61 0.9243 2.37 0.9752 3.13 0.9917−2.94 0.0109 −2.18 0.0328 −1.42 0.0993 −0.66 0.2652 0.10 0.5384 0.86 0.7909 1.62 0.9254 2.38 0.9756 3.14 0.9918−2.93 0.0110 −2.17 0.0333 −1.41 0.1007 −0.65 0.2682 0.11 0.5423 0.87 0.7934 1.63 0.9264 2.39 0.9759 3.15 0.9919−2.92 0.0112 −2.16 0.0338 −1.40 0.1021 −0.64 0.2713 0.12 0.5461 0.88 0.7960 1.64 0.9275 2.40 0.9763 3.16 0.9920−2.91 0.0113 −2.15 0.0343 −1.39 0.1036 −0.63 0.2743 0.13 0.5499 0.89 0.7985 1.65 0.9285 2.41 0.9766 3.17 0.9921−2.90 0.0115 −2.14 0.0348 −1.38 0.1050 −0.62 0.2774 0.14 0.5537 0.90 0.8010 1.66 0.9296 2.42 0.9770 3.18 0.9923−2.89 0.0117 −2.13 0.0353 −1.37 0.1065 −0.61 0.2806 0.15 0.5575 0.91 0.8035 1.67 0.9306 2.43 0.9773 3.19 0.9924−2.88 0.0118 −2.12 0.0359 −1.36 0.1080 −0.60 0.2837 0.16 0.5613 0.92 0.8059 1.68 0.9316 2.44 0.9776 3.20 0.9925−2.87 0.0120 −2.11 0.0364 −1.35 0.1095 −0.59 0.2869 0.17 0.5651 0.93 0.8083 1.69 0.9326 2.45 0.9779 3.21 0.9926−2.86 0.0122 −2.10 0.0369 −1.34 0.1111 −0.58 0.2900 0.18 0.5689 0.94 0.8107 1.70 0.9335 2.46 0.9783 3.22 0.9927−2.85 0.0123 −2.09 0.0375 −1.33 0.1126 −0.57 0.2932 0.19 0.5726 0.95 0.8131 1.71 0.9345 2.47 0.9786 3.23 0.9928−2.84 0.0125 −2.08 0.0380 −1.32 0.1142 −0.56 0.2965 0.20 0.5764 0.96 0.8155 1.72 0.9354 2.48 0.9789 3.24 0.9929−2.83 0.0127 −2.07 0.0386 −1.31 0.1158 −0.55 0.2997 0.21 0.5802 0.97 0.8178 1.73 0.9364 2.49 0.9792 3.25 0.9930−2.82 0.0129 −2.06 0.0392 −1.30 0.1174 −0.54 0.3030 0.22 0.5839 0.98 0.8201 1.74 0.9373 2.50 0.9795 3.26 0.9931−2.81 0.0131 −2.05 0.0398 −1.29 0.1190 −0.53 0.3063 0.23 0.5877 0.99 0.8224 1.75 0.9382 2.51 0.9798 3.27 0.9932−2.80 0.0133 −2.04 0.0404 −1.28 0.1207 −0.52 0.3095 0.24 0.5914 1.00 0.8247 1.76 0.9391 2.52 0.9801 3.28 0.9933−2.79 0.0135 −2.03 0.0410 −1.27 0.1223 −0.51 0.3129 0.25 0.5951 1.01 0.8269 1.77 0.9400 2.53 0.9804 3.29 0.9933−2.78 0.0136 −2.02 0.0416 −1.26 0.1240 −0.50 0.3162 0.26 0.5988 1.02 0.8292 1.78 0.9409 2.54 0.9807 3.30 0.9934−2.77 0.0138 −2.01 0.0422 −1.25 0.1257 −0.49 0.3196 0.27 0.6025 1.03 0.8314 1.79 0.9417 2.55 0.9809 3.31 0.9935−2.76 0.0140 −2.00 0.0428 −1.24 0.1275 −0.48 0.3229 0.28 0.6062 1.04 0.8335 1.80 0.9426 2.56 0.9812 3.32 0.9936−2.75 0.0143 −1.99 0.0434 −1.23 0.1292 −0.47 0.3263 0.29 0.6099 1.05 0.8357 1.81 0.9434 2.57 0.9815 3.33 0.9937−2.74 0.0145 −1.98 0.0441 −1.22 0.1310 −0.46 0.3297 0.30 0.6136 1.06 0.8378 1.82 0.9442 2.58 0.9818 3.34 0.9938−2.73 0.0147 −1.97 0.0447 −1.21 0.1328 −0.45 0.3332 0.31 0.6172 1.07 0.8399 1.83 0.9450 2.59 0.9820 3.35 0.9939−2.72 0.0149 −1.96 0.0454 −1.20 0.1346 −0.44 0.3366 0.32 0.6208 1.08 0.8420 1.84 0.9458 2.60 0.9823 3.36 0.9940−2.71 0.0151 −1.95 0.0461 −1.19 0.1364 −0.43 0.3401 0.33 0.6245 1.09 0.8441 1.85 0.9466 2.61 0.9825 3.37 0.9940−2.70 0.0153 −1.94 0.0468 −1.18 0.1383 −0.42 0.3435 0.34 0.6281 1.10 0.8461 1.86 0.9474 2.62 0.9828 3.38 0.9941−2.69 0.0155 −1.93 0.0475 −1.17 0.1401 −0.41 0.3470 0.35 0.6317 1.11 0.8482 1.87 0.9482 2.63 0.9830 3.39 0.9942−2.68 0.0158 −1.92 0.0482 −1.16 0.1420 −0.40 0.3505 0.36 0.6353 1.12 0.8502 1.88 0.9489 2.64 0.9833 3.40 0.9943−2.67 0.0160 −1.91 0.0489 −1.15 0.1440 −0.39 0.3541 0.37 0.6388 1.13 0.8521 1.89 0.9497 2.65 0.9835 3.41 0.9944−2.66 0.0162 −1.90 0.0496 −1.14 0.1459 −0.38 0.3576 0.38 0.6424 1.14 0.8541 1.90 0.9504 2.66 0.9838 3.42 0.9944−2.65 0.0165 −1.89 0.0503 −1.13 0.1479 −0.37 0.3612 0.39 0.6459 1.15 0.8560 1.91 0.9511 2.67 0.9840 3.43 0.9945

Area Under t-distribution to the Left of t =x− µs/√n

8 degree(s) of freedom−3.40 0.0047 −2.64 0.0149 −1.88 0.0485 −1.12 0.1476 −0.36 0.3641 0.40 0.6502 1.16 0.8603 1.92 0.9544 2.68 0.9860−3.39 0.0047 −2.63 0.0151 −1.87 0.0492 −1.11 0.1496 −0.35 0.3677 0.41 0.6537 1.17 0.8622 1.93 0.9551 2.69 0.9863−3.38 0.0048 −2.62 0.0153 −1.86 0.0500 −1.10 0.1517 −0.34 0.3713 0.42 0.6572 1.18 0.8641 1.94 0.9558 2.70 0.9865−3.37 0.0049 −2.61 0.0156 −1.85 0.0507 −1.09 0.1537 −0.33 0.3749 0.43 0.6607 1.19 0.8659 1.95 0.9565 2.71 0.9867−3.36 0.0050 −2.60 0.0158 −1.84 0.0515 −1.08 0.1558 −0.32 0.3786 0.44 0.6642 1.20 0.8678 1.96 0.9572 2.72 0.9869−3.35 0.0050 −2.59 0.0161 −1.83 0.0523 −1.07 0.1579 −0.31 0.3822 0.45 0.6677 1.21 0.8696 1.97 0.9578 2.73 0.9871−3.34 0.0051 −2.58 0.0163 −1.82 0.0531 −1.06 0.1600 −0.30 0.3859 0.46 0.6711 1.22 0.8714 1.98 0.9585 2.74 0.9873−3.33 0.0052 −2.57 0.0166 −1.81 0.0539 −1.05 0.1622 −0.29 0.3896 0.47 0.6745 1.23 0.8732 1.99 0.9591 2.75 0.9875−3.32 0.0053 −2.56 0.0168 −1.80 0.0548 −1.04 0.1644 −0.28 0.3933 0.48 0.6780 1.24 0.8749 2.00 0.9597 2.76 0.9877−3.31 0.0053 −2.55 0.0171 −1.79 0.0556 −1.03 0.1666 −0.27 0.3970 0.49 0.6814 1.25 0.8767 2.01 0.9604 2.77 0.9879−3.30 0.0054 −2.54 0.0174 −1.78 0.0565 −1.02 0.1688 −0.26 0.4007 0.50 0.6847 1.26 0.8784 2.02 0.9610 2.78 0.9880−3.29 0.0055 −2.53 0.0176 −1.77 0.0573 −1.01 0.1710 −0.25 0.4044 0.51 0.6881 1.27 0.8801 2.03 0.9616 2.79 0.9882−3.28 0.0056 −2.52 0.0179 −1.76 0.0582 −1.00 0.1733 −0.24 0.4082 0.52 0.6914 1.28 0.8818 2.04 0.9622 2.80 0.9884−3.27 0.0057 −2.51 0.0182 −1.75 0.0591 −0.99 0.1756 −0.23 0.4119 0.53 0.6947 1.29 0.8835 2.05 0.9627 2.81 0.9886−3.26 0.0058 −2.50 0.0185 −1.74 0.0600 −0.98 0.1779 −0.22 0.4157 0.54 0.6981 1.30 0.8851 2.06 0.9633 2.82 0.9888−3.25 0.0059 −2.49 0.0188 −1.73 0.0609 −0.97 0.1802 −0.21 0.4195 0.55 0.7013 1.31 0.8867 2.07 0.9639 2.83 0.9889−3.24 0.0059 −2.48 0.0191 −1.72 0.0619 −0.96 0.1826 −0.20 0.4232 0.56 0.7046 1.32 0.8883 2.08 0.9644 2.84 0.9891−3.23 0.0060 −2.47 0.0194 −1.71 0.0628 −0.95 0.1850 −0.19 0.4270 0.57 0.7078 1.33 0.8899 2.09 0.9650 2.85 0.9893−3.22 0.0061 −2.46 0.0197 −1.70 0.0638 −0.94 0.1874 −0.18 0.4308 0.58 0.7111 1.34 0.8915 2.10 0.9655 2.86 0.9894−3.21 0.0062 −2.45 0.0200 −1.69 0.0647 −0.93 0.1898 −0.17 0.4346 0.59 0.7143 1.35 0.8930 2.11 0.9661 2.87 0.9896−3.20 0.0063 −2.44 0.0203 −1.68 0.0657 −0.92 0.1922 −0.16 0.4384 0.60 0.7174 1.36 0.8945 2.12 0.9666 2.88 0.9897−3.19 0.0064 −2.43 0.0206 −1.67 0.0667 −0.91 0.1947 −0.15 0.4422 0.61 0.7206 1.37 0.8961 2.13 0.9671 2.89 0.9899−3.18 0.0065 −2.42 0.0209 −1.66 0.0677 −0.90 0.1972 −0.14 0.4461 0.62 0.7237 1.38 0.8975 2.14 0.9676 2.90 0.9901−3.17 0.0066 −2.41 0.0213 −1.65 0.0688 −0.89 0.1997 −0.13 0.4499 0.63 0.7269 1.39 0.8990 2.15 0.9681 2.91 0.9902−3.16 0.0067 −2.40 0.0216 −1.64 0.0698 −0.88 0.2023 −0.12 0.4537 0.64 0.7300 1.40 0.9005 2.16 0.9686 2.92 0.9904−3.15 0.0068 −2.39 0.0219 −1.63 0.0709 −0.87 0.2048 −0.11 0.4576 0.65 0.7330 1.41 0.9019 2.17 0.9691 2.93 0.9905−3.14 0.0069 −2.38 0.0223 −1.62 0.0719 −0.86 0.2074 −0.10 0.4614 0.66 0.7361 1.42 0.9033 2.18 0.9696 2.94 0.9906−3.13 0.0070 −2.37 0.0226 −1.61 0.0730 −0.85 0.2100 −0.09 0.4652 0.67 0.7391 1.43 0.9047 2.19 0.9700 2.95 0.9908−3.12 0.0071 −2.36 0.0230 −1.60 0.0741 −0.84 0.2126 −0.08 0.4691 0.68 0.7422 1.44 0.9061 2.20 0.9705 2.96 0.9909−3.11 0.0072 −2.35 0.0233 −1.59 0.0752 −0.83 0.2153 −0.07 0.4730 0.69 0.7451 1.45 0.9074 2.21 0.9710 2.97 0.9911−3.10 0.0073 −2.34 0.0237 −1.58 0.0764 −0.82 0.2180 −0.06 0.4768 0.70 0.7481 1.46 0.9088 2.22 0.9714 2.98 0.9912−3.09 0.0074 −2.33 0.0241 −1.57 0.0775 −0.81 0.2207 −0.05 0.4807 0.71 0.7511 1.47 0.9101 2.23 0.9719 2.99 0.9913−3.08 0.0076 −2.32 0.0245 −1.56 0.0787 −0.80 0.2234 −0.04 0.4845 0.72 0.7540 1.48 0.9114 2.24 0.9723 3.00 0.9915−3.07 0.0077 −2.31 0.0248 −1.55 0.0799 −0.79 0.2262 −0.03 0.4884 0.73 0.7569 1.49 0.9127 2.25 0.9727 3.01 0.9916−3.06 0.0078 −2.30 0.0252 −1.54 0.0811 −0.78 0.2289 −0.02 0.4923 0.74 0.7598 1.50 0.9140 2.26 0.9731 3.02 0.9917−3.05 0.0079 −2.29 0.0256 −1.53 0.0823 −0.77 0.2317 −0.01 0.4961 0.75 0.7626 1.51 0.9153 2.27 0.9736 3.03 0.9918−3.04 0.0080 −2.28 0.0260 −1.52 0.0835 −0.76 0.2345 0.00 0.5000 0.76 0.7655 1.52 0.9165 2.28 0.9740 3.04 0.9920−3.03 0.0082 −2.27 0.0264 −1.51 0.0847 −0.75 0.2374 0.01 0.5039 0.77 0.7683 1.53 0.9177 2.29 0.9744 3.05 0.9921−3.02 0.0083 −2.26 0.0269 −1.50 0.0860 −0.74 0.2402 0.02 0.5077 0.78 0.7711 1.54 0.9189 2.30 0.9748 3.06 0.9922−3.01 0.0084 −2.25 0.0273 −1.49 0.0873 −0.73 0.2431 0.03 0.5116 0.79 0.7738 1.55 0.9201 2.31 0.9752 3.07 0.9923−3.00 0.0085 −2.24 0.0277 −1.48 0.0886 −0.72 0.2460 0.04 0.5155 0.80 0.7766 1.56 0.9213 2.32 0.9755 3.08 0.9924−2.99 0.0087 −2.23 0.0281 −1.47 0.0899 −0.71 0.2489 0.05 0.5193 0.81 0.7793 1.57 0.9225 2.33 0.9759 3.09 0.9926−2.98 0.0088 −2.22 0.0286 −1.46 0.0912 −0.70 0.2519 0.06 0.5232 0.82 0.7820 1.58 0.9236 2.34 0.9763 3.10 0.9927−2.97 0.0089 −2.21 0.0290 −1.45 0.0926 −0.69 0.2549 0.07 0.5270 0.83 0.7847 1.59 0.9248 2.35 0.9767 3.11 0.9928−2.96 0.0091 −2.20 0.0295 −1.44 0.0939 −0.68 0.2578 0.08 0.5309 0.84 0.7874 1.60 0.9259 2.36 0.9770 3.12 0.9929−2.95 0.0092 −2.19 0.0300 −1.43 0.0953 −0.67 0.2609 0.09 0.5348 0.85 0.7900 1.61 0.9270 2.37 0.9774 3.13 0.9930−2.94 0.0094 −2.18 0.0304 −1.42 0.0967 −0.66 0.2639 0.10 0.5386 0.86 0.7926 1.62 0.9281 2.38 0.9777 3.14 0.9931−2.93 0.0095 −2.17 0.0309 −1.41 0.0981 −0.65 0.2670 0.11 0.5424 0.87 0.7952 1.63 0.9291 2.39 0.9781 3.15 0.9932−2.92 0.0096 −2.16 0.0314 −1.40 0.0995 −0.64 0.2700 0.12 0.5463 0.88 0.7977 1.64 0.9302 2.40 0.9784 3.16 0.9933−2.91 0.0098 −2.15 0.0319 −1.39 0.1010 −0.63 0.2731 0.13 0.5501 0.89 0.8003 1.65 0.9312 2.41 0.9787 3.17 0.9934−2.90 0.0099 −2.14 0.0324 −1.38 0.1025 −0.62 0.2763 0.14 0.5539 0.90 0.8028 1.66 0.9323 2.42 0.9791 3.18 0.9935−2.89 0.0101 −2.13 0.0329 −1.37 0.1039 −0.61 0.2794 0.15 0.5578 0.91 0.8053 1.67 0.9333 2.43 0.9794 3.19 0.9936−2.88 0.0103 −2.12 0.0334 −1.36 0.1055 −0.60 0.2826 0.16 0.5616 0.92 0.8078 1.68 0.9343 2.44 0.9797 3.20 0.9937−2.87 0.0104 −2.11 0.0339 −1.35 0.1070 −0.59 0.2857 0.17 0.5654 0.93 0.8102 1.69 0.9353 2.45 0.9800 3.21 0.9938−2.86 0.0106 −2.10 0.0345 −1.34 0.1085 −0.58 0.2889 0.18 0.5692 0.94 0.8126 1.70 0.9362 2.46 0.9803 3.22 0.9939−2.85 0.0107 −2.09 0.0350 −1.33 0.1101 −0.57 0.2922 0.19 0.5730 0.95 0.8150 1.71 0.9372 2.47 0.9806 3.23 0.9940−2.84 0.0109 −2.08 0.0356 −1.32 0.1117 −0.56 0.2954 0.20 0.5768 0.96 0.8174 1.72 0.9381 2.48 0.9809 3.24 0.9941−2.83 0.0111 −2.07 0.0361 −1.31 0.1133 −0.55 0.2987 0.21 0.5805 0.97 0.8198 1.73 0.9391 2.49 0.9812 3.25 0.9941−2.82 0.0112 −2.06 0.0367 −1.30 0.1149 −0.54 0.3019 0.22 0.5843 0.98 0.8221 1.74 0.9400 2.50 0.9815 3.26 0.9942−2.81 0.0114 −2.05 0.0373 −1.29 0.1165 −0.53 0.3053 0.23 0.5881 0.99 0.8244 1.75 0.9409 2.51 0.9818 3.27 0.9943−2.80 0.0116 −2.04 0.0378 −1.28 0.1182 −0.52 0.3086 0.24 0.5918 1.00 0.8267 1.76 0.9418 2.52 0.9821 3.28 0.9944−2.79 0.0118 −2.03 0.0384 −1.27 0.1199 −0.51 0.3119 0.25 0.5956 1.01 0.8290 1.77 0.9427 2.53 0.9824 3.29 0.9945−2.78 0.0120 −2.02 0.0390 −1.26 0.1216 −0.50 0.3153 0.26 0.5993 1.02 0.8312 1.78 0.9435 2.54 0.9826 3.30 0.9946−2.77 0.0121 −2.01 0.0396 −1.25 0.1233 −0.49 0.3186 0.27 0.6030 1.03 0.8334 1.79 0.9444 2.55 0.9829 3.31 0.9947−2.76 0.0123 −2.00 0.0403 −1.24 0.1251 −0.48 0.3220 0.28 0.6067 1.04 0.8356 1.80 0.9452 2.56 0.9832 3.32 0.9947−2.75 0.0125 −1.99 0.0409 −1.23 0.1268 −0.47 0.3255 0.29 0.6104 1.05 0.8378 1.81 0.9461 2.57 0.9834 3.33 0.9948−2.74 0.0127 −1.98 0.0415 −1.22 0.1286 −0.46 0.3289 0.30 0.6141 1.06 0.8400 1.82 0.9469 2.58 0.9837 3.34 0.9949−2.73 0.0129 −1.97 0.0422 −1.21 0.1304 −0.45 0.3323 0.31 0.6178 1.07 0.8421 1.83 0.9477 2.59 0.9839 3.35 0.9950−2.72 0.0131 −1.96 0.0428 −1.20 0.1322 −0.44 0.3358 0.32 0.6214 1.08 0.8442 1.84 0.9485 2.60 0.9842 3.36 0.9950−2.71 0.0133 −1.95 0.0435 −1.19 0.1341 −0.43 0.3393 0.33 0.6251 1.09 0.8463 1.85 0.9493 2.61 0.9844 3.37 0.9951−2.70 0.0135 −1.94 0.0442 −1.18 0.1359 −0.42 0.3428 0.34 0.6287 1.10 0.8483 1.86 0.9500 2.62 0.9847 3.38 0.9952−2.69 0.0137 −1.93 0.0449 −1.17 0.1378 −0.41 0.3463 0.35 0.6323 1.11 0.8504 1.87 0.9508 2.63 0.9849 3.39 0.9953−2.68 0.0140 −1.92 0.0456 −1.16 0.1397 −0.40 0.3498 0.36 0.6359 1.12 0.8524 1.88 0.9515 2.64 0.9851 3.40 0.9953−2.67 0.0142 −1.91 0.0463 −1.15 0.1417 −0.39 0.3534 0.37 0.6395 1.13 0.8544 1.89 0.9523 2.65 0.9854 3.41 0.9954−2.66 0.0144 −1.90 0.0470 −1.14 0.1436 −0.38 0.3569 0.38 0.6431 1.14 0.8564 1.90 0.9530 2.66 0.9856 3.42 0.9955−2.65 0.0146 −1.89 0.0477 −1.13 0.1456 −0.37 0.3605 0.39 0.6466 1.15 0.8583 1.91 0.9537 2.67 0.9858 3.43 0.9955

Area Under t-distribution to the Left of t =x− µs/√n

9 degree(s) of freedom−3.40 0.0039 −2.64 0.0135 −1.88 0.0464 −1.12 0.1459 −0.36 0.3636 0.40 0.6508 1.16 0.8621 1.92 0.9565 2.68 0.9874−3.39 0.0040 −2.63 0.0137 −1.87 0.0471 −1.11 0.1479 −0.35 0.3672 0.41 0.6543 1.17 0.8640 1.93 0.9572 2.69 0.9876−3.38 0.0041 −2.62 0.0139 −1.86 0.0479 −1.10 0.1499 −0.34 0.3708 0.42 0.6578 1.18 0.8659 1.94 0.9578 2.70 0.9878−3.37 0.0041 −2.61 0.0141 −1.85 0.0487 −1.09 0.1520 −0.33 0.3745 0.43 0.6613 1.19 0.8678 1.95 0.9585 2.71 0.9880−3.36 0.0042 −2.60 0.0144 −1.84 0.0495 −1.08 0.1541 −0.32 0.3781 0.44 0.6648 1.20 0.8696 1.96 0.9592 2.72 0.9882−3.35 0.0043 −2.59 0.0146 −1.83 0.0502 −1.07 0.1562 −0.31 0.3818 0.45 0.6683 1.21 0.8715 1.97 0.9598 2.73 0.9884−3.34 0.0043 −2.58 0.0148 −1.82 0.0511 −1.06 0.1584 −0.30 0.3855 0.46 0.6718 1.22 0.8733 1.98 0.9605 2.74 0.9886−3.33 0.0044 −2.57 0.0151 −1.81 0.0519 −1.05 0.1605 −0.29 0.3892 0.47 0.6752 1.23 0.8751 1.99 0.9611 2.75 0.9888−3.32 0.0045 −2.56 0.0153 −1.80 0.0527 −1.04 0.1627 −0.28 0.3929 0.48 0.6787 1.24 0.8768 2.00 0.9617 2.76 0.9889−3.31 0.0045 −2.55 0.0156 −1.79 0.0535 −1.03 0.1649 −0.27 0.3966 0.49 0.6821 1.25 0.8786 2.01 0.9623 2.77 0.9891−3.30 0.0046 −2.54 0.0159 −1.78 0.0544 −1.02 0.1672 −0.26 0.4004 0.50 0.6855 1.26 0.8803 2.02 0.9629 2.78 0.9893−3.29 0.0047 −2.53 0.0161 −1.77 0.0553 −1.01 0.1694 −0.25 0.4041 0.51 0.6888 1.27 0.8820 2.03 0.9635 2.79 0.9895−3.28 0.0048 −2.52 0.0164 −1.76 0.0561 −1.00 0.1717 −0.24 0.4079 0.52 0.6922 1.28 0.8837 2.04 0.9641 2.80 0.9896−3.27 0.0048 −2.51 0.0167 −1.75 0.0570 −0.99 0.1740 −0.23 0.4116 0.53 0.6955 1.29 0.8854 2.05 0.9647 2.81 0.9898−3.26 0.0049 −2.50 0.0169 −1.74 0.0579 −0.98 0.1763 −0.22 0.4154 0.54 0.6988 1.30 0.8870 2.06 0.9653 2.82 0.9900−3.25 0.0050 −2.49 0.0172 −1.73 0.0588 −0.97 0.1787 −0.21 0.4192 0.55 0.7021 1.31 0.8887 2.07 0.9658 2.83 0.9901−3.24 0.0051 −2.48 0.0175 −1.72 0.0598 −0.96 0.1811 −0.20 0.4230 0.56 0.7054 1.32 0.8903 2.08 0.9664 2.84 0.9903−3.23 0.0052 −2.47 0.0178 −1.71 0.0607 −0.95 0.1835 −0.19 0.4268 0.57 0.7087 1.33 0.8919 2.09 0.9669 2.85 0.9905−3.22 0.0052 −2.46 0.0181 −1.70 0.0617 −0.94 0.1859 −0.18 0.4306 0.58 0.7119 1.34 0.8935 2.10 0.9674 2.86 0.9906−3.21 0.0053 −2.45 0.0184 −1.69 0.0626 −0.93 0.1883 −0.17 0.4344 0.59 0.7151 1.35 0.8950 2.11 0.9680 2.87 0.9908−3.20 0.0054 −2.44 0.0187 −1.68 0.0636 −0.92 0.1908 −0.16 0.4382 0.60 0.7183 1.36 0.8965 2.12 0.9685 2.88 0.9909−3.19 0.0055 −2.43 0.0190 −1.67 0.0646 −0.91 0.1933 −0.15 0.4420 0.61 0.7215 1.37 0.8981 2.13 0.9690 2.89 0.9911−3.18 0.0056 −2.42 0.0193 −1.66 0.0656 −0.90 0.1958 −0.14 0.4459 0.62 0.7247 1.38 0.8996 2.14 0.9695 2.90 0.9912−3.17 0.0057 −2.41 0.0196 −1.65 0.0667 −0.89 0.1983 −0.13 0.4497 0.63 0.7278 1.39 0.9010 2.15 0.9700 2.91 0.9913−3.16 0.0058 −2.40 0.0199 −1.64 0.0677 −0.88 0.2009 −0.12 0.4536 0.64 0.7309 1.40 0.9025 2.16 0.9705 2.92 0.9915−3.15 0.0059 −2.39 0.0203 −1.63 0.0688 −0.87 0.2035 −0.11 0.4574 0.65 0.7340 1.41 0.9039 2.17 0.9709 2.93 0.9916−3.14 0.0060 −2.38 0.0206 −1.62 0.0698 −0.86 0.2061 −0.10 0.4613 0.66 0.7371 1.42 0.9053 2.18 0.9714 2.94 0.9918−3.13 0.0061 −2.37 0.0210 −1.61 0.0709 −0.85 0.2087 −0.09 0.4651 0.67 0.7402 1.43 0.9067 2.19 0.9719 2.95 0.9919−3.12 0.0062 −2.36 0.0213 −1.60 0.0720 −0.84 0.2113 −0.08 0.4690 0.68 0.7432 1.44 0.9081 2.20 0.9723 2.96 0.9920−3.11 0.0063 −2.35 0.0217 −1.59 0.0731 −0.83 0.2140 −0.07 0.4729 0.69 0.7462 1.45 0.9095 2.21 0.9728 2.97 0.9921−3.10 0.0064 −2.34 0.0220 −1.58 0.0743 −0.82 0.2167 −0.06 0.4767 0.70 0.7492 1.46 0.9109 2.22 0.9732 2.98 0.9923−3.09 0.0065 −2.33 0.0224 −1.57 0.0754 −0.81 0.2194 −0.05 0.4806 0.71 0.7522 1.47 0.9122 2.23 0.9737 2.99 0.9924−3.08 0.0066 −2.32 0.0227 −1.56 0.0766 −0.80 0.2222 −0.04 0.4845 0.72 0.7551 1.48 0.9135 2.24 0.9741 3.00 0.9925−3.07 0.0067 −2.31 0.0231 −1.55 0.0778 −0.79 0.2249 −0.03 0.4884 0.73 0.7580 1.49 0.9148 2.25 0.9745 3.01 0.9926−3.06 0.0068 −2.30 0.0235 −1.54 0.0790 −0.78 0.2277 −0.02 0.4922 0.74 0.7609 1.50 0.9161 2.26 0.9749 3.02 0.9928−3.05 0.0069 −2.29 0.0239 −1.53 0.0802 −0.77 0.2305 −0.01 0.4961 0.75 0.7638 1.51 0.9173 2.27 0.9753 3.03 0.9929−3.04 0.0070 −2.28 0.0243 −1.52 0.0814 −0.76 0.2333 0.00 0.5000 0.76 0.7667 1.52 0.9186 2.28 0.9757 3.04 0.9930−3.03 0.0071 −2.27 0.0247 −1.51 0.0827 −0.75 0.2362 0.01 0.5039 0.77 0.7695 1.53 0.9198 2.29 0.9761 3.05 0.9931−3.02 0.0072 −2.26 0.0251 −1.50 0.0839 −0.74 0.2391 0.02 0.5078 0.78 0.7723 1.54 0.9210 2.30 0.9765 3.06 0.9932−3.01 0.0074 −2.25 0.0255 −1.49 0.0852 −0.73 0.2420 0.03 0.5116 0.79 0.7751 1.55 0.9222 2.31 0.9769 3.07 0.9933−3.00 0.0075 −2.24 0.0259 −1.48 0.0865 −0.72 0.2449 0.04 0.5155 0.80 0.7778 1.56 0.9234 2.32 0.9773 3.08 0.9934−2.99 0.0076 −2.23 0.0263 −1.47 0.0878 −0.71 0.2478 0.05 0.5194 0.81 0.7806 1.57 0.9246 2.33 0.9776 3.09 0.9935−2.98 0.0077 −2.22 0.0268 −1.46 0.0891 −0.70 0.2508 0.06 0.5233 0.82 0.7833 1.58 0.9257 2.34 0.9780 3.10 0.9936−2.97 0.0079 −2.21 0.0272 −1.45 0.0905 −0.69 0.2538 0.07 0.5271 0.83 0.7860 1.59 0.9269 2.35 0.9783 3.11 0.9937−2.96 0.0080 −2.20 0.0277 −1.44 0.0919 −0.68 0.2568 0.08 0.5310 0.84 0.7887 1.60 0.9280 2.36 0.9787 3.12 0.9938−2.95 0.0081 −2.19 0.0281 −1.43 0.0933 −0.67 0.2598 0.09 0.5349 0.85 0.7913 1.61 0.9291 2.37 0.9790 3.13 0.9939−2.94 0.0082 −2.18 0.0286 −1.42 0.0947 −0.66 0.2629 0.10 0.5387 0.86 0.7939 1.62 0.9302 2.38 0.9794 3.14 0.9940−2.93 0.0084 −2.17 0.0291 −1.41 0.0961 −0.65 0.2660 0.11 0.5426 0.87 0.7965 1.63 0.9312 2.39 0.9797 3.15 0.9941−2.92 0.0085 −2.16 0.0295 −1.40 0.0975 −0.64 0.2691 0.12 0.5464 0.88 0.7991 1.64 0.9323 2.40 0.9801 3.16 0.9942−2.91 0.0087 −2.15 0.0300 −1.39 0.0990 −0.63 0.2722 0.13 0.5503 0.89 0.8017 1.65 0.9333 2.41 0.9804 3.17 0.9943−2.90 0.0088 −2.14 0.0305 −1.38 0.1004 −0.62 0.2753 0.14 0.5541 0.90 0.8042 1.66 0.9344 2.42 0.9807 3.18 0.9944−2.89 0.0089 −2.13 0.0310 −1.37 0.1019 −0.61 0.2785 0.15 0.5580 0.91 0.8067 1.67 0.9354 2.43 0.9810 3.19 0.9945−2.88 0.0091 −2.12 0.0315 −1.36 0.1035 −0.60 0.2817 0.16 0.5618 0.92 0.8092 1.68 0.9364 2.44 0.9813 3.20 0.9946−2.87 0.0092 −2.11 0.0320 −1.35 0.1050 −0.59 0.2849 0.17 0.5656 0.93 0.8117 1.69 0.9374 2.45 0.9816 3.21 0.9947−2.86 0.0094 −2.10 0.0326 −1.34 0.1065 −0.58 0.2881 0.18 0.5694 0.94 0.8141 1.70 0.9383 2.46 0.9819 3.22 0.9948−2.85 0.0095 −2.09 0.0331 −1.33 0.1081 −0.57 0.2913 0.19 0.5732 0.95 0.8165 1.71 0.9393 2.47 0.9822 3.23 0.9948−2.84 0.0097 −2.08 0.0336 −1.32 0.1097 −0.56 0.2946 0.20 0.5770 0.96 0.8189 1.72 0.9402 2.48 0.9825 3.24 0.9949−2.83 0.0099 −2.07 0.0342 −1.31 0.1113 −0.55 0.2979 0.21 0.5808 0.97 0.8213 1.73 0.9412 2.49 0.9828 3.25 0.9950−2.82 0.0100 −2.06 0.0347 −1.30 0.1130 −0.54 0.3012 0.22 0.5846 0.98 0.8237 1.74 0.9421 2.50 0.9831 3.26 0.9951−2.81 0.0102 −2.05 0.0353 −1.29 0.1146 −0.53 0.3045 0.23 0.5884 0.99 0.8260 1.75 0.9430 2.51 0.9833 3.27 0.9952−2.80 0.0104 −2.04 0.0359 −1.28 0.1163 −0.52 0.3078 0.24 0.5921 1.00 0.8283 1.76 0.9439 2.52 0.9836 3.28 0.9952−2.79 0.0105 −2.03 0.0365 −1.27 0.1180 −0.51 0.3112 0.25 0.5959 1.01 0.8306 1.77 0.9447 2.53 0.9839 3.29 0.9953−2.78 0.0107 −2.02 0.0371 −1.26 0.1197 −0.50 0.3145 0.26 0.5996 1.02 0.8328 1.78 0.9456 2.54 0.9841 3.30 0.9954−2.77 0.0109 −2.01 0.0377 −1.25 0.1214 −0.49 0.3179 0.27 0.6034 1.03 0.8351 1.79 0.9465 2.55 0.9844 3.31 0.9955−2.76 0.0111 −2.00 0.0383 −1.24 0.1232 −0.48 0.3213 0.28 0.6071 1.04 0.8373 1.80 0.9473 2.56 0.9847 3.32 0.9955−2.75 0.0112 −1.99 0.0389 −1.23 0.1249 −0.47 0.3248 0.29 0.6108 1.05 0.8395 1.81 0.9481 2.57 0.9849 3.33 0.9956−2.74 0.0114 −1.98 0.0395 −1.22 0.1267 −0.46 0.3282 0.30 0.6145 1.06 0.8416 1.82 0.9489 2.58 0.9852 3.34 0.9957−2.73 0.0116 −1.97 0.0402 −1.21 0.1285 −0.45 0.3317 0.31 0.6182 1.07 0.8438 1.83 0.9498 2.59 0.9854 3.35 0.9957−2.72 0.0118 −1.96 0.0408 −1.20 0.1304 −0.44 0.3352 0.32 0.6219 1.08 0.8459 1.84 0.9505 2.60 0.9856 3.36 0.9958−2.71 0.0120 −1.95 0.0415 −1.19 0.1322 −0.43 0.3387 0.33 0.6255 1.09 0.8480 1.85 0.9513 2.61 0.9859 3.37 0.9959−2.70 0.0122 −1.94 0.0422 −1.18 0.1341 −0.42 0.3422 0.34 0.6292 1.10 0.8501 1.86 0.9521 2.62 0.9861 3.38 0.9959−2.69 0.0124 −1.93 0.0428 −1.17 0.1360 −0.41 0.3457 0.35 0.6328 1.11 0.8521 1.87 0.9529 2.63 0.9863 3.39 0.9960−2.68 0.0126 −1.92 0.0435 −1.16 0.1379 −0.40 0.3492 0.36 0.6364 1.12 0.8541 1.88 0.9536 2.64 0.9865 3.40 0.9961−2.67 0.0128 −1.91 0.0442 −1.15 0.1399 −0.39 0.3528 0.37 0.6400 1.13 0.8562 1.89 0.9543 2.65 0.9868 3.41 0.9961−2.66 0.0130 −1.90 0.0449 −1.14 0.1419 −0.38 0.3564 0.38 0.6436 1.14 0.8581 1.90 0.9551 2.66 0.9870 3.42 0.9962−2.65 0.0132 −1.89 0.0457 −1.13 0.1438 −0.37 0.3600 0.39 0.6472 1.15 0.8601 1.91 0.9558 2.67 0.9872 3.43 0.9962

Area Under t-distribution to the Left of t =x− µs/√n

10 degree(s) of freedom−3.40 0.0034 −2.64 0.0124 −1.88 0.0448 −1.12 0.1444 −0.36 0.3632 0.40 0.6512 1.16 0.8635 1.92 0.9581 2.68 0.9885−3.39 0.0034 −2.63 0.0126 −1.87 0.0455 −1.11 0.1465 −0.35 0.3668 0.41 0.6548 1.17 0.8654 1.93 0.9588 2.69 0.9887−3.38 0.0035 −2.62 0.0128 −1.86 0.0463 −1.10 0.1486 −0.34 0.3704 0.42 0.6583 1.18 0.8673 1.94 0.9595 2.70 0.9888−3.37 0.0036 −2.61 0.0130 −1.85 0.0470 −1.09 0.1506 −0.33 0.3741 0.43 0.6618 1.19 0.8692 1.95 0.9601 2.71 0.9890−3.36 0.0036 −2.60 0.0132 −1.84 0.0478 −1.08 0.1528 −0.32 0.3778 0.44 0.6654 1.20 0.8711 1.96 0.9608 2.72 0.9892−3.35 0.0037 −2.59 0.0135 −1.83 0.0486 −1.07 0.1549 −0.31 0.3815 0.45 0.6688 1.21 0.8729 1.97 0.9614 2.73 0.9894−3.34 0.0037 −2.58 0.0137 −1.82 0.0494 −1.06 0.1570 −0.30 0.3852 0.46 0.6723 1.22 0.8748 1.98 0.9621 2.74 0.9896−3.33 0.0038 −2.57 0.0139 −1.81 0.0502 −1.05 0.1592 −0.29 0.3889 0.47 0.6758 1.23 0.8766 1.99 0.9627 2.75 0.9898−3.32 0.0039 −2.56 0.0142 −1.80 0.0510 −1.04 0.1614 −0.28 0.3926 0.48 0.6792 1.24 0.8784 2.00 0.9633 2.76 0.9899−3.31 0.0039 −2.55 0.0144 −1.79 0.0519 −1.03 0.1636 −0.27 0.3963 0.49 0.6826 1.25 0.8801 2.01 0.9639 2.77 0.9901−3.30 0.0040 −2.54 0.0147 −1.78 0.0527 −1.02 0.1659 −0.26 0.4001 0.50 0.6861 1.26 0.8819 2.02 0.9645 2.78 0.9903−3.29 0.0041 −2.53 0.0149 −1.77 0.0536 −1.01 0.1682 −0.25 0.4038 0.51 0.6894 1.27 0.8836 2.03 0.9651 2.79 0.9904−3.28 0.0041 −2.52 0.0152 −1.76 0.0545 −1.00 0.1704 −0.24 0.4076 0.52 0.6928 1.28 0.8853 2.04 0.9657 2.80 0.9906−3.27 0.0042 −2.51 0.0155 −1.75 0.0553 −0.99 0.1728 −0.23 0.4114 0.53 0.6962 1.29 0.8870 2.05 0.9662 2.81 0.9908−3.26 0.0043 −2.50 0.0157 −1.74 0.0562 −0.98 0.1751 −0.22 0.4151 0.54 0.6995 1.30 0.8886 2.06 0.9668 2.82 0.9909−3.25 0.0044 −2.49 0.0160 −1.73 0.0572 −0.97 0.1775 −0.21 0.4189 0.55 0.7028 1.31 0.8903 2.07 0.9674 2.83 0.9911−3.24 0.0044 −2.48 0.0163 −1.72 0.0581 −0.96 0.1798 −0.20 0.4227 0.56 0.7061 1.32 0.8919 2.08 0.9679 2.84 0.9912−3.23 0.0045 −2.47 0.0166 −1.71 0.0590 −0.95 0.1823 −0.19 0.4266 0.57 0.7094 1.33 0.8935 2.09 0.9684 2.85 0.9914−3.22 0.0046 −2.46 0.0168 −1.70 0.0600 −0.94 0.1847 −0.18 0.4304 0.58 0.7126 1.34 0.8951 2.10 0.9690 2.86 0.9915−3.21 0.0047 −2.45 0.0171 −1.69 0.0610 −0.93 0.1871 −0.17 0.4342 0.59 0.7159 1.35 0.8966 2.11 0.9695 2.87 0.9917−3.20 0.0047 −2.44 0.0174 −1.68 0.0619 −0.92 0.1896 −0.16 0.4380 0.60 0.7191 1.36 0.8982 2.12 0.9700 2.88 0.9918−3.19 0.0048 −2.43 0.0177 −1.67 0.0629 −0.91 0.1921 −0.15 0.4419 0.61 0.7223 1.37 0.8997 2.13 0.9705 2.89 0.9919−3.18 0.0049 −2.42 0.0180 −1.66 0.0640 −0.90 0.1946 −0.14 0.4457 0.62 0.7254 1.38 0.9012 2.14 0.9710 2.90 0.9921−3.17 0.0050 −2.41 0.0183 −1.65 0.0650 −0.89 0.1972 −0.13 0.4496 0.63 0.7286 1.39 0.9027 2.15 0.9715 2.91 0.9922−3.16 0.0051 −2.40 0.0187 −1.64 0.0660 −0.88 0.1998 −0.12 0.4534 0.64 0.7317 1.40 0.9041 2.16 0.9719 2.92 0.9923−3.15 0.0052 −2.39 0.0190 −1.63 0.0671 −0.87 0.2023 −0.11 0.4573 0.65 0.7348 1.41 0.9056 2.17 0.9724 2.93 0.9925−3.14 0.0053 −2.38 0.0193 −1.62 0.0682 −0.86 0.2050 −0.10 0.4612 0.66 0.7379 1.42 0.9070 2.18 0.9729 2.94 0.9926−3.13 0.0053 −2.37 0.0196 −1.61 0.0692 −0.85 0.2076 −0.09 0.4650 0.67 0.7410 1.43 0.9084 2.19 0.9733 2.95 0.9927−3.12 0.0054 −2.36 0.0200 −1.60 0.0703 −0.84 0.2103 −0.08 0.4689 0.68 0.7440 1.44 0.9098 2.20 0.9738 2.96 0.9929−3.11 0.0055 −2.35 0.0203 −1.59 0.0715 −0.83 0.2130 −0.07 0.4728 0.69 0.7471 1.45 0.9112 2.21 0.9742 2.97 0.9930−3.10 0.0056 −2.34 0.0207 −1.58 0.0726 −0.82 0.2157 −0.06 0.4767 0.70 0.7501 1.46 0.9125 2.22 0.9747 2.98 0.9931−3.09 0.0057 −2.33 0.0210 −1.57 0.0737 −0.81 0.2184 −0.05 0.4806 0.71 0.7530 1.47 0.9138 2.23 0.9751 2.99 0.9932−3.08 0.0058 −2.32 0.0214 −1.56 0.0749 −0.80 0.2212 −0.04 0.4844 0.72 0.7560 1.48 0.9152 2.24 0.9755 3.00 0.9933−3.07 0.0059 −2.31 0.0218 −1.55 0.0761 −0.79 0.2239 −0.03 0.4883 0.73 0.7589 1.49 0.9165 2.25 0.9759 3.01 0.9934−3.06 0.0060 −2.30 0.0221 −1.54 0.0773 −0.78 0.2267 −0.02 0.4922 0.74 0.7618 1.50 0.9177 2.26 0.9763 3.02 0.9936−3.05 0.0061 −2.29 0.0225 −1.53 0.0785 −0.77 0.2296 −0.01 0.4961 0.75 0.7647 1.51 0.9190 2.27 0.9767 3.03 0.9937−3.04 0.0062 −2.28 0.0229 −1.52 0.0797 −0.76 0.2324 0.00 0.5000 0.76 0.7676 1.52 0.9203 2.28 0.9771 3.04 0.9938−3.03 0.0063 −2.27 0.0233 −1.51 0.0810 −0.75 0.2353 0.01 0.5039 0.77 0.7704 1.53 0.9215 2.29 0.9775 3.05 0.9939−3.02 0.0064 −2.26 0.0237 −1.50 0.0823 −0.74 0.2382 0.02 0.5078 0.78 0.7733 1.54 0.9227 2.30 0.9779 3.06 0.9940−3.01 0.0066 −2.25 0.0241 −1.49 0.0835 −0.73 0.2411 0.03 0.5117 0.79 0.7761 1.55 0.9239 2.31 0.9782 3.07 0.9941−3.00 0.0067 −2.24 0.0245 −1.48 0.0848 −0.72 0.2440 0.04 0.5156 0.80 0.7788 1.56 0.9251 2.32 0.9786 3.08 0.9942−2.99 0.0068 −2.23 0.0249 −1.47 0.0862 −0.71 0.2470 0.05 0.5194 0.81 0.7816 1.57 0.9263 2.33 0.9790 3.09 0.9943−2.98 0.0069 −2.22 0.0253 −1.46 0.0875 −0.70 0.2499 0.06 0.5233 0.82 0.7843 1.58 0.9274 2.34 0.9793 3.10 0.9944−2.97 0.0070 −2.21 0.0258 −1.45 0.0888 −0.69 0.2529 0.07 0.5272 0.83 0.7870 1.59 0.9285 2.35 0.9797 3.11 0.9945−2.96 0.0071 −2.20 0.0262 −1.44 0.0902 −0.68 0.2560 0.08 0.5311 0.84 0.7897 1.60 0.9297 2.36 0.9800 3.12 0.9946−2.95 0.0073 −2.19 0.0267 −1.43 0.0916 −0.67 0.2590 0.09 0.5350 0.85 0.7924 1.61 0.9308 2.37 0.9804 3.13 0.9947−2.94 0.0074 −2.18 0.0271 −1.42 0.0930 −0.66 0.2621 0.10 0.5388 0.86 0.7950 1.62 0.9318 2.38 0.9807 3.14 0.9947−2.93 0.0075 −2.17 0.0276 −1.41 0.0944 −0.65 0.2652 0.11 0.5427 0.87 0.7977 1.63 0.9329 2.39 0.9810 3.15 0.9948−2.92 0.0077 −2.16 0.0281 −1.40 0.0959 −0.64 0.2683 0.12 0.5466 0.88 0.8002 1.64 0.9340 2.40 0.9813 3.16 0.9949−2.91 0.0078 −2.15 0.0285 −1.39 0.0973 −0.63 0.2714 0.13 0.5504 0.89 0.8028 1.65 0.9350 2.41 0.9817 3.17 0.9950−2.90 0.0079 −2.14 0.0290 −1.38 0.0988 −0.62 0.2746 0.14 0.5543 0.90 0.8054 1.66 0.9360 2.42 0.9820 3.18 0.9951−2.89 0.0081 −2.13 0.0295 −1.37 0.1003 −0.61 0.2777 0.15 0.5581 0.91 0.8079 1.67 0.9371 2.43 0.9823 3.19 0.9952−2.88 0.0082 −2.12 0.0300 −1.36 0.1018 −0.60 0.2809 0.16 0.5620 0.92 0.8104 1.68 0.9381 2.44 0.9826 3.20 0.9953−2.87 0.0083 −2.11 0.0305 −1.35 0.1034 −0.59 0.2841 0.17 0.5658 0.93 0.8129 1.69 0.9390 2.45 0.9829 3.21 0.9953−2.86 0.0085 −2.10 0.0310 −1.34 0.1049 −0.58 0.2874 0.18 0.5696 0.94 0.8153 1.70 0.9400 2.46 0.9832 3.22 0.9954−2.85 0.0086 −2.09 0.0316 −1.33 0.1065 −0.57 0.2906 0.19 0.5734 0.95 0.8177 1.71 0.9410 2.47 0.9834 3.23 0.9955−2.84 0.0088 −2.08 0.0321 −1.32 0.1081 −0.56 0.2939 0.20 0.5773 0.96 0.8202 1.72 0.9419 2.48 0.9837 3.24 0.9956−2.83 0.0089 −2.07 0.0326 −1.31 0.1097 −0.55 0.2972 0.21 0.5811 0.97 0.8225 1.73 0.9428 2.49 0.9840 3.25 0.9956−2.82 0.0091 −2.06 0.0332 −1.30 0.1114 −0.54 0.3005 0.22 0.5849 0.98 0.8249 1.74 0.9438 2.50 0.9843 3.26 0.9957−2.81 0.0092 −2.05 0.0338 −1.29 0.1130 −0.53 0.3038 0.23 0.5886 0.99 0.8272 1.75 0.9447 2.51 0.9845 3.27 0.9958−2.80 0.0094 −2.04 0.0343 −1.28 0.1147 −0.52 0.3072 0.24 0.5924 1.00 0.8296 1.76 0.9455 2.52 0.9848 3.28 0.9959−2.79 0.0096 −2.03 0.0349 −1.27 0.1164 −0.51 0.3106 0.25 0.5962 1.01 0.8318 1.77 0.9464 2.53 0.9851 3.29 0.9959−2.78 0.0097 −2.02 0.0355 −1.26 0.1181 −0.50 0.3139 0.26 0.5999 1.02 0.8341 1.78 0.9473 2.54 0.9853 3.30 0.9960−2.77 0.0099 −2.01 0.0361 −1.25 0.1199 −0.49 0.3174 0.27 0.6037 1.03 0.8364 1.79 0.9481 2.55 0.9856 3.31 0.9961−2.76 0.0101 −2.00 0.0367 −1.24 0.1216 −0.48 0.3208 0.28 0.6074 1.04 0.8386 1.80 0.9490 2.56 0.9858 3.32 0.9961−2.75 0.0102 −1.99 0.0373 −1.23 0.1234 −0.47 0.3242 0.29 0.6111 1.05 0.8408 1.81 0.9498 2.57 0.9861 3.33 0.9962−2.74 0.0104 −1.98 0.0379 −1.22 0.1252 −0.46 0.3277 0.30 0.6148 1.06 0.8430 1.82 0.9506 2.58 0.9863 3.34 0.9963−2.73 0.0106 −1.97 0.0386 −1.21 0.1271 −0.45 0.3312 0.31 0.6185 1.07 0.8451 1.83 0.9514 2.59 0.9865 3.35 0.9963−2.72 0.0108 −1.96 0.0392 −1.20 0.1289 −0.44 0.3346 0.32 0.6222 1.08 0.8472 1.84 0.9522 2.60 0.9868 3.36 0.9964−2.71 0.0110 −1.95 0.0399 −1.19 0.1308 −0.43 0.3382 0.33 0.6259 1.09 0.8494 1.85 0.9530 2.61 0.9870 3.37 0.9964−2.70 0.0112 −1.94 0.0405 −1.18 0.1327 −0.42 0.3417 0.34 0.6296 1.10 0.8514 1.86 0.9537 2.62 0.9872 3.38 0.9965−2.69 0.0113 −1.93 0.0412 −1.17 0.1346 −0.41 0.3452 0.35 0.6332 1.11 0.8535 1.87 0.9545 2.63 0.9874 3.39 0.9966−2.68 0.0115 −1.92 0.0419 −1.16 0.1365 −0.40 0.3488 0.36 0.6368 1.12 0.8556 1.88 0.9552 2.64 0.9876 3.40 0.9966−2.67 0.0117 −1.91 0.0426 −1.15 0.1385 −0.39 0.3524 0.37 0.6405 1.13 0.8576 1.89 0.9560 2.65 0.9878 3.41 0.9967−2.66 0.0119 −1.90 0.0433 −1.14 0.1404 −0.38 0.3559 0.38 0.6441 1.14 0.8596 1.90 0.9567 2.66 0.9881 3.42 0.9967−2.65 0.0122 −1.89 0.0440 −1.13 0.1424 −0.37 0.3595 0.39 0.6476 1.15 0.8615 1.91 0.9574 2.67 0.9883 3.43 0.9968

Area Under t-distribution to the Left of t =x− µs/√n

11 degree(s) of freedom−3.40 0.0030 −2.64 0.0115 −1.88 0.0434 −1.12 0.1433 −0.36 0.3628 0.40 0.6516 1.16 0.8647 1.92 0.9594 2.68 0.9893−3.39 0.0030 −2.63 0.0117 −1.87 0.0442 −1.11 0.1453 −0.35 0.3665 0.41 0.6552 1.17 0.8666 1.93 0.9601 2.69 0.9895−3.38 0.0031 −2.62 0.0119 −1.86 0.0449 −1.10 0.1474 −0.34 0.3701 0.42 0.6587 1.18 0.8686 1.94 0.9608 2.70 0.9897−3.37 0.0031 −2.61 0.0121 −1.85 0.0457 −1.09 0.1495 −0.33 0.3738 0.43 0.6623 1.19 0.8705 1.95 0.9614 2.71 0.9899−3.36 0.0032 −2.60 0.0123 −1.84 0.0464 −1.08 0.1516 −0.32 0.3775 0.44 0.6658 1.20 0.8723 1.96 0.9621 2.72 0.9900−3.35 0.0032 −2.59 0.0126 −1.83 0.0472 −1.07 0.1538 −0.31 0.3812 0.45 0.6693 1.21 0.8742 1.97 0.9627 2.73 0.9902−3.34 0.0033 −2.58 0.0128 −1.82 0.0480 −1.06 0.1559 −0.30 0.3849 0.46 0.6728 1.22 0.8760 1.98 0.9634 2.74 0.9904−3.33 0.0034 −2.57 0.0130 −1.81 0.0488 −1.05 0.1581 −0.29 0.3886 0.47 0.6762 1.23 0.8778 1.99 0.9640 2.75 0.9906−3.32 0.0034 −2.56 0.0133 −1.80 0.0497 −1.04 0.1603 −0.28 0.3923 0.48 0.6797 1.24 0.8796 2.00 0.9646 2.76 0.9907−3.31 0.0035 −2.55 0.0135 −1.79 0.0505 −1.03 0.1626 −0.27 0.3961 0.49 0.6831 1.25 0.8814 2.01 0.9652 2.77 0.9909−3.30 0.0035 −2.54 0.0137 −1.78 0.0513 −1.02 0.1648 −0.26 0.3998 0.50 0.6865 1.26 0.8831 2.02 0.9658 2.78 0.9910−3.29 0.0036 −2.53 0.0140 −1.77 0.0522 −1.01 0.1671 −0.25 0.4036 0.51 0.6899 1.27 0.8849 2.03 0.9664 2.79 0.9912−3.28 0.0037 −2.52 0.0142 −1.76 0.0531 −1.00 0.1694 −0.24 0.4074 0.52 0.6933 1.28 0.8866 2.04 0.9669 2.80 0.9914−3.27 0.0037 −2.51 0.0145 −1.75 0.0540 −0.99 0.1717 −0.23 0.4112 0.53 0.6967 1.29 0.8882 2.05 0.9675 2.81 0.9915−3.26 0.0038 −2.50 0.0148 −1.74 0.0549 −0.98 0.1741 −0.22 0.4150 0.54 0.7000 1.30 0.8899 2.06 0.9681 2.82 0.9917−3.25 0.0039 −2.49 0.0150 −1.73 0.0558 −0.97 0.1764 −0.21 0.4188 0.55 0.7033 1.31 0.8916 2.07 0.9686 2.83 0.9918−3.24 0.0039 −2.48 0.0153 −1.72 0.0567 −0.96 0.1788 −0.20 0.4226 0.56 0.7066 1.32 0.8932 2.08 0.9692 2.84 0.9920−3.23 0.0040 −2.47 0.0156 −1.71 0.0576 −0.95 0.1813 −0.19 0.4264 0.57 0.7099 1.33 0.8948 2.09 0.9697 2.85 0.9921−3.22 0.0041 −2.46 0.0158 −1.70 0.0586 −0.94 0.1837 −0.18 0.4302 0.58 0.7132 1.34 0.8964 2.10 0.9702 2.86 0.9922−3.21 0.0042 −2.45 0.0161 −1.69 0.0596 −0.93 0.1862 −0.17 0.4340 0.59 0.7164 1.35 0.8979 2.11 0.9707 2.87 0.9924−3.20 0.0042 −2.44 0.0164 −1.68 0.0606 −0.92 0.1887 −0.16 0.4379 0.60 0.7197 1.36 0.8995 2.12 0.9712 2.88 0.9925−3.19 0.0043 −2.43 0.0167 −1.67 0.0615 −0.91 0.1912 −0.15 0.4417 0.61 0.7229 1.37 0.9010 2.13 0.9717 2.89 0.9926−3.18 0.0044 −2.42 0.0170 −1.66 0.0626 −0.90 0.1937 −0.14 0.4456 0.62 0.7261 1.38 0.9025 2.14 0.9722 2.90 0.9928−3.17 0.0045 −2.41 0.0173 −1.65 0.0636 −0.89 0.1963 −0.13 0.4495 0.63 0.7292 1.39 0.9040 2.15 0.9727 2.91 0.9929−3.16 0.0045 −2.40 0.0176 −1.64 0.0646 −0.88 0.1988 −0.12 0.4533 0.64 0.7324 1.40 0.9055 2.16 0.9731 2.92 0.9930−3.15 0.0046 −2.39 0.0179 −1.63 0.0657 −0.87 0.2014 −0.11 0.4572 0.65 0.7355 1.41 0.9069 2.17 0.9736 2.93 0.9932−3.14 0.0047 −2.38 0.0183 −1.62 0.0668 −0.86 0.2041 −0.10 0.4611 0.66 0.7386 1.42 0.9083 2.18 0.9741 2.94 0.9933−3.13 0.0048 −2.37 0.0186 −1.61 0.0678 −0.85 0.2067 −0.09 0.4650 0.67 0.7417 1.43 0.9097 2.19 0.9745 2.95 0.9934−3.12 0.0049 −2.36 0.0189 −1.60 0.0690 −0.84 0.2094 −0.08 0.4688 0.68 0.7447 1.44 0.9111 2.20 0.9750 2.96 0.9935−3.11 0.0050 −2.35 0.0192 −1.59 0.0701 −0.83 0.2121 −0.07 0.4727 0.69 0.7478 1.45 0.9125 2.21 0.9754 2.97 0.9936−3.10 0.0051 −2.34 0.0196 −1.58 0.0712 −0.82 0.2148 −0.06 0.4766 0.70 0.7508 1.46 0.9139 2.22 0.9758 2.98 0.9937−3.09 0.0051 −2.33 0.0199 −1.57 0.0724 −0.81 0.2176 −0.05 0.4805 0.71 0.7538 1.47 0.9152 2.23 0.9762 2.99 0.9939−3.08 0.0052 −2.32 0.0203 −1.56 0.0735 −0.80 0.2203 −0.04 0.4844 0.72 0.7567 1.48 0.9165 2.24 0.9766 3.00 0.9940−3.07 0.0053 −2.31 0.0206 −1.55 0.0747 −0.79 0.2231 −0.03 0.4883 0.73 0.7597 1.49 0.9178 2.25 0.9771 3.01 0.9941−3.06 0.0054 −2.30 0.0210 −1.54 0.0759 −0.78 0.2259 −0.02 0.4922 0.74 0.7626 1.50 0.9191 2.26 0.9775 3.02 0.9942−3.05 0.0055 −2.29 0.0214 −1.53 0.0771 −0.77 0.2288 −0.01 0.4961 0.75 0.7655 1.51 0.9204 2.27 0.9778 3.03 0.9943−3.04 0.0056 −2.28 0.0218 −1.52 0.0784 −0.76 0.2316 0.00 0.5000 0.76 0.7684 1.52 0.9216 2.28 0.9782 3.04 0.9944−3.03 0.0057 −2.27 0.0222 −1.51 0.0796 −0.75 0.2345 0.01 0.5039 0.77 0.7712 1.53 0.9229 2.29 0.9786 3.05 0.9945−3.02 0.0058 −2.26 0.0225 −1.50 0.0809 −0.74 0.2374 0.02 0.5078 0.78 0.7741 1.54 0.9241 2.30 0.9790 3.06 0.9946−3.01 0.0059 −2.25 0.0229 −1.49 0.0822 −0.73 0.2403 0.03 0.5117 0.79 0.7769 1.55 0.9253 2.31 0.9794 3.07 0.9947−3.00 0.0060 −2.24 0.0234 −1.48 0.0835 −0.72 0.2433 0.04 0.5156 0.80 0.7797 1.56 0.9265 2.32 0.9797 3.08 0.9948−2.99 0.0061 −2.23 0.0238 −1.47 0.0848 −0.71 0.2462 0.05 0.5195 0.81 0.7824 1.57 0.9276 2.33 0.9801 3.09 0.9949−2.98 0.0063 −2.22 0.0242 −1.46 0.0861 −0.70 0.2492 0.06 0.5234 0.82 0.7852 1.58 0.9288 2.34 0.9804 3.10 0.9949−2.97 0.0064 −2.21 0.0246 −1.45 0.0875 −0.69 0.2522 0.07 0.5273 0.83 0.7879 1.59 0.9299 2.35 0.9808 3.11 0.9950−2.96 0.0065 −2.20 0.0250 −1.44 0.0889 −0.68 0.2553 0.08 0.5312 0.84 0.7906 1.60 0.9310 2.36 0.9811 3.12 0.9951−2.95 0.0066 −2.19 0.0255 −1.43 0.0903 −0.67 0.2583 0.09 0.5350 0.85 0.7933 1.61 0.9322 2.37 0.9814 3.13 0.9952−2.94 0.0067 −2.18 0.0259 −1.42 0.0917 −0.66 0.2614 0.10 0.5389 0.86 0.7959 1.62 0.9332 2.38 0.9817 3.14 0.9953−2.93 0.0068 −2.17 0.0264 −1.41 0.0931 −0.65 0.2645 0.11 0.5428 0.87 0.7986 1.63 0.9343 2.39 0.9821 3.15 0.9954−2.92 0.0070 −2.16 0.0269 −1.40 0.0945 −0.64 0.2676 0.12 0.5467 0.88 0.8012 1.64 0.9354 2.40 0.9824 3.16 0.9955−2.91 0.0071 −2.15 0.0273 −1.39 0.0960 −0.63 0.2708 0.13 0.5505 0.89 0.8037 1.65 0.9364 2.41 0.9827 3.17 0.9955−2.90 0.0072 −2.14 0.0278 −1.38 0.0975 −0.62 0.2739 0.14 0.5544 0.90 0.8063 1.66 0.9374 2.42 0.9830 3.18 0.9956−2.89 0.0074 −2.13 0.0283 −1.37 0.0990 −0.61 0.2771 0.15 0.5583 0.91 0.8088 1.67 0.9385 2.43 0.9833 3.19 0.9957−2.88 0.0075 −2.12 0.0288 −1.36 0.1005 −0.60 0.2803 0.16 0.5621 0.92 0.8113 1.68 0.9394 2.44 0.9836 3.20 0.9958−2.87 0.0076 −2.11 0.0293 −1.35 0.1021 −0.59 0.2836 0.17 0.5660 0.93 0.8138 1.69 0.9404 2.45 0.9839 3.21 0.9958−2.86 0.0078 −2.10 0.0298 −1.34 0.1036 −0.58 0.2868 0.18 0.5698 0.94 0.8163 1.70 0.9414 2.46 0.9842 3.22 0.9959−2.85 0.0079 −2.09 0.0303 −1.33 0.1052 −0.57 0.2901 0.19 0.5736 0.95 0.8187 1.71 0.9424 2.47 0.9844 3.23 0.9960−2.84 0.0080 −2.08 0.0308 −1.32 0.1068 −0.56 0.2934 0.20 0.5774 0.96 0.8212 1.72 0.9433 2.48 0.9847 3.24 0.9961−2.83 0.0082 −2.07 0.0314 −1.31 0.1084 −0.55 0.2967 0.21 0.5812 0.97 0.8236 1.73 0.9442 2.49 0.9850 3.25 0.9961−2.82 0.0083 −2.06 0.0319 −1.30 0.1101 −0.54 0.3000 0.22 0.5850 0.98 0.8259 1.74 0.9451 2.50 0.9852 3.26 0.9962−2.81 0.0085 −2.05 0.0325 −1.29 0.1118 −0.53 0.3033 0.23 0.5888 0.99 0.8283 1.75 0.9460 2.51 0.9855 3.27 0.9963−2.80 0.0086 −2.04 0.0331 −1.28 0.1134 −0.52 0.3067 0.24 0.5926 1.00 0.8306 1.76 0.9469 2.52 0.9858 3.28 0.9963−2.79 0.0088 −2.03 0.0336 −1.27 0.1151 −0.51 0.3101 0.25 0.5964 1.01 0.8329 1.77 0.9478 2.53 0.9860 3.29 0.9964−2.78 0.0090 −2.02 0.0342 −1.26 0.1169 −0.50 0.3135 0.26 0.6002 1.02 0.8352 1.78 0.9487 2.54 0.9863 3.30 0.9965−2.77 0.0091 −2.01 0.0348 −1.25 0.1186 −0.49 0.3169 0.27 0.6039 1.03 0.8374 1.79 0.9495 2.55 0.9865 3.31 0.9965−2.76 0.0093 −2.00 0.0354 −1.24 0.1204 −0.48 0.3203 0.28 0.6077 1.04 0.8397 1.80 0.9503 2.56 0.9867 3.32 0.9966−2.75 0.0094 −1.99 0.0360 −1.23 0.1222 −0.47 0.3238 0.29 0.6114 1.05 0.8419 1.81 0.9512 2.57 0.9870 3.33 0.9966−2.74 0.0096 −1.98 0.0366 −1.22 0.1240 −0.46 0.3272 0.30 0.6151 1.06 0.8441 1.82 0.9520 2.58 0.9872 3.34 0.9967−2.73 0.0098 −1.97 0.0373 −1.21 0.1258 −0.45 0.3307 0.31 0.6188 1.07 0.8462 1.83 0.9528 2.59 0.9874 3.35 0.9968−2.72 0.0100 −1.96 0.0379 −1.20 0.1277 −0.44 0.3342 0.32 0.6225 1.08 0.8484 1.84 0.9536 2.60 0.9877 3.36 0.9968−2.71 0.0101 −1.95 0.0386 −1.19 0.1295 −0.43 0.3377 0.33 0.6262 1.09 0.8505 1.85 0.9543 2.61 0.9879 3.37 0.9969−2.70 0.0103 −1.94 0.0392 −1.18 0.1314 −0.42 0.3413 0.34 0.6299 1.10 0.8526 1.86 0.9551 2.62 0.9881 3.38 0.9969−2.69 0.0105 −1.93 0.0399 −1.17 0.1334 −0.41 0.3448 0.35 0.6335 1.11 0.8547 1.87 0.9558 2.63 0.9883 3.39 0.9970−2.68 0.0107 −1.92 0.0406 −1.16 0.1353 −0.40 0.3484 0.36 0.6372 1.12 0.8567 1.88 0.9566 2.64 0.9885 3.40 0.9970−2.67 0.0109 −1.91 0.0413 −1.15 0.1373 −0.39 0.3520 0.37 0.6408 1.13 0.8587 1.89 0.9573 2.65 0.9887 3.41 0.9971−2.66 0.0111 −1.90 0.0420 −1.14 0.1393 −0.38 0.3556 0.38 0.6444 1.14 0.8607 1.90 0.9580 2.66 0.9889 3.42 0.9971−2.65 0.0113 −1.89 0.0427 −1.13 0.1413 −0.37 0.3592 0.39 0.6480 1.15 0.8627 1.91 0.9587 2.67 0.9891 3.43 0.9972

Area Under t-distribution to the Left of t =x− µs/√n

12 degree(s) of freedom−3.40 0.0026 −2.64 0.0108 −1.88 0.0423 −1.12 0.1423 −0.36 0.3626 0.40 0.6519 1.16 0.8657 1.92 0.9605 2.68 0.9900−3.39 0.0027 −2.63 0.0110 −1.87 0.0430 −1.11 0.1444 −0.35 0.3662 0.41 0.6555 1.17 0.8676 1.93 0.9612 2.69 0.9902−3.38 0.0027 −2.62 0.0112 −1.86 0.0438 −1.10 0.1465 −0.34 0.3699 0.42 0.6590 1.18 0.8696 1.94 0.9619 2.70 0.9903−3.37 0.0028 −2.61 0.0114 −1.85 0.0445 −1.09 0.1486 −0.33 0.3735 0.43 0.6626 1.19 0.8715 1.95 0.9625 2.71 0.9905−3.36 0.0028 −2.60 0.0116 −1.84 0.0453 −1.08 0.1507 −0.32 0.3772 0.44 0.6661 1.20 0.8734 1.96 0.9632 2.72 0.9907−3.35 0.0029 −2.59 0.0118 −1.83 0.0461 −1.07 0.1528 −0.31 0.3809 0.45 0.6696 1.21 0.8752 1.97 0.9638 2.73 0.9909−3.34 0.0029 −2.58 0.0120 −1.82 0.0469 −1.06 0.1550 −0.30 0.3847 0.46 0.6731 1.22 0.8771 1.98 0.9644 2.74 0.9910−3.33 0.0030 −2.57 0.0123 −1.81 0.0477 −1.05 0.1572 −0.29 0.3884 0.47 0.6766 1.23 0.8789 1.99 0.9651 2.75 0.9912−3.32 0.0031 −2.56 0.0125 −1.80 0.0485 −1.04 0.1594 −0.28 0.3921 0.48 0.6801 1.24 0.8807 2.00 0.9657 2.76 0.9914−3.31 0.0031 −2.55 0.0127 −1.79 0.0493 −1.03 0.1617 −0.27 0.3959 0.49 0.6835 1.25 0.8824 2.01 0.9663 2.77 0.9915−3.30 0.0032 −2.54 0.0130 −1.78 0.0502 −1.02 0.1639 −0.26 0.3996 0.50 0.6869 1.26 0.8842 2.02 0.9669 2.78 0.9917−3.29 0.0032 −2.53 0.0132 −1.77 0.0511 −1.01 0.1662 −0.25 0.4034 0.51 0.6903 1.27 0.8859 2.03 0.9674 2.79 0.9918−3.28 0.0033 −2.52 0.0135 −1.76 0.0519 −1.00 0.1685 −0.24 0.4072 0.52 0.6937 1.28 0.8876 2.04 0.9680 2.80 0.9920−3.27 0.0034 −2.51 0.0137 −1.75 0.0528 −0.99 0.1709 −0.23 0.4110 0.53 0.6971 1.29 0.8893 2.05 0.9686 2.81 0.9921−3.26 0.0034 −2.50 0.0140 −1.74 0.0537 −0.98 0.1732 −0.22 0.4148 0.54 0.7005 1.30 0.8910 2.06 0.9691 2.82 0.9923−3.25 0.0035 −2.49 0.0142 −1.73 0.0546 −0.97 0.1756 −0.21 0.4186 0.55 0.7038 1.31 0.8926 2.07 0.9697 2.83 0.9924−3.24 0.0035 −2.48 0.0145 −1.72 0.0555 −0.96 0.1780 −0.20 0.4224 0.56 0.7071 1.32 0.8943 2.08 0.9702 2.84 0.9926−3.23 0.0036 −2.47 0.0147 −1.71 0.0565 −0.95 0.1804 −0.19 0.4262 0.57 0.7104 1.33 0.8959 2.09 0.9707 2.85 0.9927−3.22 0.0037 −2.46 0.0150 −1.70 0.0574 −0.94 0.1829 −0.18 0.4301 0.58 0.7137 1.34 0.8975 2.10 0.9712 2.86 0.9928−3.21 0.0037 −2.45 0.0153 −1.69 0.0584 −0.93 0.1854 −0.17 0.4339 0.59 0.7169 1.35 0.8990 2.11 0.9717 2.87 0.9930−3.20 0.0038 −2.44 0.0156 −1.68 0.0594 −0.92 0.1878 −0.16 0.4378 0.60 0.7202 1.36 0.9006 2.12 0.9722 2.88 0.9931−3.19 0.0039 −2.43 0.0159 −1.67 0.0604 −0.91 0.1904 −0.15 0.4416 0.61 0.7234 1.37 0.9021 2.13 0.9727 2.89 0.9932−3.18 0.0040 −2.42 0.0162 −1.66 0.0614 −0.90 0.1929 −0.14 0.4455 0.62 0.7266 1.38 0.9036 2.14 0.9732 2.90 0.9933−3.17 0.0040 −2.41 0.0165 −1.65 0.0624 −0.89 0.1955 −0.13 0.4494 0.63 0.7297 1.39 0.9051 2.15 0.9737 2.91 0.9935−3.16 0.0041 −2.40 0.0168 −1.64 0.0635 −0.88 0.1981 −0.12 0.4532 0.64 0.7329 1.40 0.9066 2.16 0.9741 2.92 0.9936−3.15 0.0042 −2.39 0.0171 −1.63 0.0645 −0.87 0.2007 −0.11 0.4571 0.65 0.7360 1.41 0.9080 2.17 0.9746 2.93 0.9937−3.14 0.0043 −2.38 0.0174 −1.62 0.0656 −0.86 0.2033 −0.10 0.4610 0.66 0.7391 1.42 0.9095 2.18 0.9751 2.94 0.9938−3.13 0.0043 −2.37 0.0177 −1.61 0.0667 −0.85 0.2060 −0.09 0.4649 0.67 0.7422 1.43 0.9109 2.19 0.9755 2.95 0.9939−3.12 0.0044 −2.36 0.0180 −1.60 0.0678 −0.84 0.2087 −0.08 0.4688 0.68 0.7453 1.44 0.9123 2.20 0.9759 2.96 0.9940−3.11 0.0045 −2.35 0.0184 −1.59 0.0689 −0.83 0.2114 −0.07 0.4727 0.69 0.7483 1.45 0.9137 2.21 0.9764 2.97 0.9941−3.10 0.0046 −2.34 0.0187 −1.58 0.0700 −0.82 0.2141 −0.06 0.4766 0.70 0.7514 1.46 0.9150 2.22 0.9768 2.98 0.9943−3.09 0.0047 −2.33 0.0190 −1.57 0.0712 −0.81 0.2169 −0.05 0.4805 0.71 0.7544 1.47 0.9164 2.23 0.9772 2.99 0.9944−3.08 0.0048 −2.32 0.0194 −1.56 0.0724 −0.80 0.2196 −0.04 0.4844 0.72 0.7573 1.48 0.9177 2.24 0.9776 3.00 0.9945−3.07 0.0049 −2.31 0.0197 −1.55 0.0736 −0.79 0.2224 −0.03 0.4883 0.73 0.7603 1.49 0.9190 2.25 0.9780 3.01 0.9946−3.06 0.0049 −2.30 0.0201 −1.54 0.0748 −0.78 0.2253 −0.02 0.4922 0.74 0.7632 1.50 0.9203 2.26 0.9784 3.02 0.9947−3.05 0.0050 −2.29 0.0205 −1.53 0.0760 −0.77 0.2281 −0.01 0.4961 0.75 0.7661 1.51 0.9215 2.27 0.9788 3.03 0.9948−3.04 0.0051 −2.28 0.0208 −1.52 0.0772 −0.76 0.2310 0.00 0.5000 0.76 0.7690 1.52 0.9228 2.28 0.9792 3.04 0.9949−3.03 0.0052 −2.27 0.0212 −1.51 0.0785 −0.75 0.2339 0.01 0.5039 0.77 0.7719 1.53 0.9240 2.29 0.9795 3.05 0.9950−3.02 0.0053 −2.26 0.0216 −1.50 0.0797 −0.74 0.2368 0.02 0.5078 0.78 0.7747 1.54 0.9252 2.30 0.9799 3.06 0.9951−3.01 0.0054 −2.25 0.0220 −1.49 0.0810 −0.73 0.2397 0.03 0.5117 0.79 0.7776 1.55 0.9264 2.31 0.9803 3.07 0.9951−3.00 0.0055 −2.24 0.0224 −1.48 0.0823 −0.72 0.2427 0.04 0.5156 0.80 0.7804 1.56 0.9276 2.32 0.9806 3.08 0.9952−2.99 0.0056 −2.23 0.0228 −1.47 0.0836 −0.71 0.2456 0.05 0.5195 0.81 0.7831 1.57 0.9288 2.33 0.9810 3.09 0.9953−2.98 0.0057 −2.22 0.0232 −1.46 0.0850 −0.70 0.2486 0.06 0.5234 0.82 0.7859 1.58 0.9300 2.34 0.9813 3.10 0.9954−2.97 0.0059 −2.21 0.0236 −1.45 0.0863 −0.69 0.2517 0.07 0.5273 0.83 0.7886 1.59 0.9311 2.35 0.9816 3.11 0.9955−2.96 0.0060 −2.20 0.0241 −1.44 0.0877 −0.68 0.2547 0.08 0.5312 0.84 0.7913 1.60 0.9322 2.36 0.9820 3.12 0.9956−2.95 0.0061 −2.19 0.0245 −1.43 0.0891 −0.67 0.2578 0.09 0.5351 0.85 0.7940 1.61 0.9333 2.37 0.9823 3.13 0.9957−2.94 0.0062 −2.18 0.0249 −1.42 0.0905 −0.66 0.2609 0.10 0.5390 0.86 0.7967 1.62 0.9344 2.38 0.9826 3.14 0.9957−2.93 0.0063 −2.17 0.0254 −1.41 0.0920 −0.65 0.2640 0.11 0.5429 0.87 0.7993 1.63 0.9355 2.39 0.9829 3.15 0.9958−2.92 0.0064 −2.16 0.0259 −1.40 0.0934 −0.64 0.2671 0.12 0.5468 0.88 0.8019 1.64 0.9365 2.40 0.9832 3.16 0.9959−2.91 0.0065 −2.15 0.0263 −1.39 0.0949 −0.63 0.2703 0.13 0.5506 0.89 0.8045 1.65 0.9376 2.41 0.9835 3.17 0.9960−2.90 0.0067 −2.14 0.0268 −1.38 0.0964 −0.62 0.2734 0.14 0.5545 0.90 0.8071 1.66 0.9386 2.42 0.9838 3.18 0.9960−2.89 0.0068 −2.13 0.0273 −1.37 0.0979 −0.61 0.2766 0.15 0.5584 0.91 0.8096 1.67 0.9396 2.43 0.9841 3.19 0.9961−2.88 0.0069 −2.12 0.0278 −1.36 0.0994 −0.60 0.2798 0.16 0.5622 0.92 0.8122 1.68 0.9406 2.44 0.9844 3.20 0.9962−2.87 0.0070 −2.11 0.0283 −1.35 0.1010 −0.59 0.2831 0.17 0.5661 0.93 0.8146 1.69 0.9416 2.45 0.9847 3.21 0.9963−2.86 0.0072 −2.10 0.0288 −1.34 0.1025 −0.58 0.2863 0.18 0.5699 0.94 0.8171 1.70 0.9426 2.46 0.9850 3.22 0.9963−2.85 0.0073 −2.09 0.0293 −1.33 0.1041 −0.57 0.2896 0.19 0.5738 0.95 0.8196 1.71 0.9435 2.47 0.9853 3.23 0.9964−2.84 0.0074 −2.08 0.0298 −1.32 0.1057 −0.56 0.2929 0.20 0.5776 0.96 0.8220 1.72 0.9445 2.48 0.9855 3.24 0.9965−2.83 0.0076 −2.07 0.0303 −1.31 0.1074 −0.55 0.2962 0.21 0.5814 0.97 0.8244 1.73 0.9454 2.49 0.9858 3.25 0.9965−2.82 0.0077 −2.06 0.0309 −1.30 0.1090 −0.54 0.2995 0.22 0.5852 0.98 0.8268 1.74 0.9463 2.50 0.9860 3.26 0.9966−2.81 0.0079 −2.05 0.0314 −1.29 0.1107 −0.53 0.3029 0.23 0.5890 0.99 0.8291 1.75 0.9472 2.51 0.9863 3.27 0.9966−2.80 0.0080 −2.04 0.0320 −1.28 0.1124 −0.52 0.3063 0.24 0.5928 1.00 0.8315 1.76 0.9481 2.52 0.9865 3.28 0.9967−2.79 0.0082 −2.03 0.0326 −1.27 0.1141 −0.51 0.3097 0.25 0.5966 1.01 0.8338 1.77 0.9489 2.53 0.9868 3.29 0.9968−2.78 0.0083 −2.02 0.0331 −1.26 0.1158 −0.50 0.3131 0.26 0.6004 1.02 0.8361 1.78 0.9498 2.54 0.9870 3.30 0.9968−2.77 0.0085 −2.01 0.0337 −1.25 0.1176 −0.49 0.3165 0.27 0.6041 1.03 0.8383 1.79 0.9507 2.55 0.9873 3.31 0.9969−2.76 0.0086 −2.00 0.0343 −1.24 0.1193 −0.48 0.3199 0.28 0.6079 1.04 0.8406 1.80 0.9515 2.56 0.9875 3.32 0.9969−2.75 0.0088 −1.99 0.0349 −1.23 0.1211 −0.47 0.3234 0.29 0.6116 1.05 0.8428 1.81 0.9523 2.57 0.9877 3.33 0.9970−2.74 0.0090 −1.98 0.0356 −1.22 0.1229 −0.46 0.3269 0.30 0.6153 1.06 0.8450 1.82 0.9531 2.58 0.9880 3.34 0.9971−2.73 0.0091 −1.97 0.0362 −1.21 0.1248 −0.45 0.3304 0.31 0.6191 1.07 0.8472 1.83 0.9539 2.59 0.9882 3.35 0.9971−2.72 0.0093 −1.96 0.0368 −1.20 0.1266 −0.44 0.3339 0.32 0.6228 1.08 0.8493 1.84 0.9547 2.60 0.9884 3.36 0.9972−2.71 0.0095 −1.95 0.0375 −1.19 0.1285 −0.43 0.3374 0.33 0.6265 1.09 0.8514 1.85 0.9555 2.61 0.9886 3.37 0.9972−2.70 0.0097 −1.94 0.0381 −1.18 0.1304 −0.42 0.3410 0.34 0.6301 1.10 0.8535 1.86 0.9562 2.62 0.9888 3.38 0.9973−2.69 0.0098 −1.93 0.0388 −1.17 0.1324 −0.41 0.3445 0.35 0.6338 1.11 0.8556 1.87 0.9570 2.63 0.9890 3.39 0.9973−2.68 0.0100 −1.92 0.0395 −1.16 0.1343 −0.40 0.3481 0.36 0.6374 1.12 0.8577 1.88 0.9577 2.64 0.9892 3.40 0.9974−2.67 0.0102 −1.91 0.0402 −1.15 0.1363 −0.39 0.3517 0.37 0.6411 1.13 0.8597 1.89 0.9584 2.65 0.9894 3.41 0.9974−2.66 0.0104 −1.90 0.0409 −1.14 0.1383 −0.38 0.3553 0.38 0.6447 1.14 0.8617 1.90 0.9591 2.66 0.9896 3.42 0.9975−2.65 0.0106 −1.89 0.0416 −1.13 0.1403 −0.37 0.3589 0.39 0.6483 1.15 0.8637 1.91 0.9598 2.67 0.9898 3.43 0.9975

Area Under t-distribution to the Left of t =x− µs/√n

13 degree(s) of freedom−3.40 0.0024 −2.64 0.0102 −1.88 0.0414 −1.12 0.1415 −0.36 0.3623 0.40 0.6522 1.16 0.8665 1.92 0.9615 2.68 0.9905−3.39 0.0024 −2.63 0.0104 −1.87 0.0421 −1.11 0.1436 −0.35 0.3660 0.41 0.6558 1.17 0.8685 1.93 0.9621 2.69 0.9907−3.38 0.0025 −2.62 0.0106 −1.86 0.0428 −1.10 0.1456 −0.34 0.3696 0.42 0.6593 1.18 0.8704 1.94 0.9628 2.70 0.9909−3.37 0.0025 −2.61 0.0108 −1.85 0.0436 −1.09 0.1478 −0.33 0.3733 0.43 0.6629 1.19 0.8723 1.95 0.9635 2.71 0.9911−3.36 0.0026 −2.60 0.0110 −1.84 0.0444 −1.08 0.1499 −0.32 0.3770 0.44 0.6664 1.20 0.8742 1.96 0.9641 2.72 0.9912−3.35 0.0026 −2.59 0.0112 −1.83 0.0451 −1.07 0.1520 −0.31 0.3807 0.45 0.6699 1.21 0.8761 1.97 0.9647 2.73 0.9914−3.34 0.0027 −2.58 0.0114 −1.82 0.0459 −1.06 0.1542 −0.30 0.3845 0.46 0.6734 1.22 0.8779 1.98 0.9654 2.74 0.9916−3.33 0.0027 −2.57 0.0116 −1.81 0.0467 −1.05 0.1564 −0.29 0.3882 0.47 0.6769 1.23 0.8798 1.99 0.9660 2.75 0.9917−3.32 0.0028 −2.56 0.0119 −1.80 0.0475 −1.04 0.1586 −0.28 0.3919 0.48 0.6804 1.24 0.8816 2.00 0.9666 2.76 0.9919−3.31 0.0028 −2.55 0.0121 −1.79 0.0484 −1.03 0.1609 −0.27 0.3957 0.49 0.6839 1.25 0.8833 2.01 0.9672 2.77 0.9920−3.30 0.0029 −2.54 0.0123 −1.78 0.0492 −1.02 0.1632 −0.26 0.3995 0.50 0.6873 1.26 0.8851 2.02 0.9678 2.78 0.9922−3.29 0.0029 −2.53 0.0126 −1.77 0.0501 −1.01 0.1655 −0.25 0.4032 0.51 0.6907 1.27 0.8868 2.03 0.9683 2.79 0.9923−3.28 0.0030 −2.52 0.0128 −1.76 0.0510 −1.00 0.1678 −0.24 0.4070 0.52 0.6941 1.28 0.8885 2.04 0.9689 2.80 0.9925−3.27 0.0030 −2.51 0.0130 −1.75 0.0518 −0.99 0.1701 −0.23 0.4108 0.53 0.6975 1.29 0.8902 2.05 0.9695 2.81 0.9926−3.26 0.0031 −2.50 0.0133 −1.74 0.0527 −0.98 0.1725 −0.22 0.4146 0.54 0.7008 1.30 0.8919 2.06 0.9700 2.82 0.9928−3.25 0.0032 −2.49 0.0135 −1.73 0.0536 −0.97 0.1749 −0.21 0.4185 0.55 0.7042 1.31 0.8936 2.07 0.9705 2.83 0.9929−3.24 0.0032 −2.48 0.0138 −1.72 0.0546 −0.96 0.1773 −0.20 0.4223 0.56 0.7075 1.32 0.8952 2.08 0.9711 2.84 0.9930−3.23 0.0033 −2.47 0.0141 −1.71 0.0555 −0.95 0.1797 −0.19 0.4261 0.57 0.7108 1.33 0.8968 2.09 0.9716 2.85 0.9932−3.22 0.0034 −2.46 0.0143 −1.70 0.0565 −0.94 0.1822 −0.18 0.4300 0.58 0.7141 1.34 0.8984 2.10 0.9721 2.86 0.9933−3.21 0.0034 −2.45 0.0146 −1.69 0.0574 −0.93 0.1847 −0.17 0.4338 0.59 0.7173 1.35 0.9000 2.11 0.9726 2.87 0.9934−3.20 0.0035 −2.44 0.0149 −1.68 0.0584 −0.92 0.1872 −0.16 0.4377 0.60 0.7206 1.36 0.9015 2.12 0.9731 2.88 0.9936−3.19 0.0036 −2.43 0.0152 −1.67 0.0594 −0.91 0.1897 −0.15 0.4415 0.61 0.7238 1.37 0.9031 2.13 0.9736 2.89 0.9937−3.18 0.0036 −2.42 0.0155 −1.66 0.0604 −0.90 0.1922 −0.14 0.4454 0.62 0.7270 1.38 0.9046 2.14 0.9741 2.90 0.9938−3.17 0.0037 −2.41 0.0157 −1.65 0.0614 −0.89 0.1948 −0.13 0.4493 0.63 0.7302 1.39 0.9061 2.15 0.9745 2.91 0.9939−3.16 0.0038 −2.40 0.0160 −1.64 0.0625 −0.88 0.1974 −0.12 0.4532 0.64 0.7334 1.40 0.9075 2.16 0.9750 2.92 0.9940−3.15 0.0038 −2.39 0.0163 −1.63 0.0635 −0.87 0.2000 −0.11 0.4570 0.65 0.7365 1.41 0.9090 2.17 0.9754 2.93 0.9941−3.14 0.0039 −2.38 0.0167 −1.62 0.0646 −0.86 0.2027 −0.10 0.4609 0.66 0.7396 1.42 0.9104 2.18 0.9759 2.94 0.9943−3.13 0.0040 −2.37 0.0170 −1.61 0.0657 −0.85 0.2054 −0.09 0.4648 0.67 0.7427 1.43 0.9118 2.19 0.9763 2.95 0.9944−3.12 0.0041 −2.36 0.0173 −1.60 0.0668 −0.84 0.2080 −0.08 0.4687 0.68 0.7458 1.44 0.9132 2.20 0.9768 2.96 0.9945−3.11 0.0041 −2.35 0.0176 −1.59 0.0679 −0.83 0.2108 −0.07 0.4726 0.69 0.7488 1.45 0.9146 2.21 0.9772 2.97 0.9946−3.10 0.0042 −2.34 0.0179 −1.58 0.0691 −0.82 0.2135 −0.06 0.4765 0.70 0.7519 1.46 0.9160 2.22 0.9776 2.98 0.9947−3.09 0.0043 −2.33 0.0183 −1.57 0.0702 −0.81 0.2163 −0.05 0.4804 0.71 0.7549 1.47 0.9173 2.23 0.9780 2.99 0.9948−3.08 0.0044 −2.32 0.0186 −1.56 0.0714 −0.80 0.2190 −0.04 0.4844 0.72 0.7579 1.48 0.9187 2.24 0.9784 3.00 0.9949−3.07 0.0045 −2.31 0.0190 −1.55 0.0726 −0.79 0.2218 −0.03 0.4883 0.73 0.7608 1.49 0.9200 2.25 0.9788 3.01 0.9950−3.06 0.0046 −2.30 0.0193 −1.54 0.0738 −0.78 0.2247 −0.02 0.4922 0.74 0.7638 1.50 0.9212 2.26 0.9792 3.02 0.9951−3.05 0.0046 −2.29 0.0197 −1.53 0.0750 −0.77 0.2275 −0.01 0.4961 0.75 0.7667 1.51 0.9225 2.27 0.9796 3.03 0.9952−3.04 0.0047 −2.28 0.0201 −1.52 0.0762 −0.76 0.2304 0.00 0.5000 0.76 0.7696 1.52 0.9238 2.28 0.9799 3.04 0.9953−3.03 0.0048 −2.27 0.0204 −1.51 0.0775 −0.75 0.2333 0.01 0.5039 0.77 0.7725 1.53 0.9250 2.29 0.9803 3.05 0.9954−3.02 0.0049 −2.26 0.0208 −1.50 0.0788 −0.74 0.2362 0.02 0.5078 0.78 0.7753 1.54 0.9262 2.30 0.9807 3.06 0.9954−3.01 0.0050 −2.25 0.0212 −1.49 0.0800 −0.73 0.2392 0.03 0.5117 0.79 0.7782 1.55 0.9274 2.31 0.9810 3.07 0.9955−3.00 0.0051 −2.24 0.0216 −1.48 0.0813 −0.72 0.2421 0.04 0.5156 0.80 0.7810 1.56 0.9286 2.32 0.9814 3.08 0.9956−2.99 0.0052 −2.23 0.0220 −1.47 0.0827 −0.71 0.2451 0.05 0.5196 0.81 0.7837 1.57 0.9298 2.33 0.9817 3.09 0.9957−2.98 0.0053 −2.22 0.0224 −1.46 0.0840 −0.70 0.2481 0.06 0.5235 0.82 0.7865 1.58 0.9309 2.34 0.9821 3.10 0.9958−2.97 0.0054 −2.21 0.0228 −1.45 0.0854 −0.69 0.2512 0.07 0.5274 0.83 0.7892 1.59 0.9321 2.35 0.9824 3.11 0.9959−2.96 0.0055 −2.20 0.0232 −1.44 0.0868 −0.68 0.2542 0.08 0.5313 0.84 0.7920 1.60 0.9332 2.36 0.9827 3.12 0.9959−2.95 0.0056 −2.19 0.0237 −1.43 0.0882 −0.67 0.2573 0.09 0.5352 0.85 0.7946 1.61 0.9343 2.37 0.9830 3.13 0.9960−2.94 0.0057 −2.18 0.0241 −1.42 0.0896 −0.66 0.2604 0.10 0.5391 0.86 0.7973 1.62 0.9354 2.38 0.9833 3.14 0.9961−2.93 0.0059 −2.17 0.0246 −1.41 0.0910 −0.65 0.2635 0.11 0.5430 0.87 0.8000 1.63 0.9365 2.39 0.9837 3.15 0.9962−2.92 0.0060 −2.16 0.0250 −1.40 0.0925 −0.64 0.2666 0.12 0.5468 0.88 0.8026 1.64 0.9375 2.40 0.9840 3.16 0.9962−2.91 0.0061 −2.15 0.0255 −1.39 0.0939 −0.63 0.2698 0.13 0.5507 0.89 0.8052 1.65 0.9386 2.41 0.9843 3.17 0.9963−2.90 0.0062 −2.14 0.0259 −1.38 0.0954 −0.62 0.2730 0.14 0.5546 0.90 0.8078 1.66 0.9396 2.42 0.9845 3.18 0.9964−2.89 0.0063 −2.13 0.0264 −1.37 0.0969 −0.61 0.2762 0.15 0.5585 0.91 0.8103 1.67 0.9406 2.43 0.9848 3.19 0.9964−2.88 0.0064 −2.12 0.0269 −1.36 0.0985 −0.60 0.2794 0.16 0.5623 0.92 0.8128 1.68 0.9416 2.44 0.9851 3.20 0.9965−2.87 0.0066 −2.11 0.0274 −1.35 0.1000 −0.59 0.2827 0.17 0.5662 0.93 0.8153 1.69 0.9426 2.45 0.9854 3.21 0.9966−2.86 0.0067 −2.10 0.0279 −1.34 0.1016 −0.58 0.2859 0.18 0.5700 0.94 0.8178 1.70 0.9435 2.46 0.9857 3.22 0.9966−2.85 0.0068 −2.09 0.0284 −1.33 0.1032 −0.57 0.2892 0.19 0.5739 0.95 0.8203 1.71 0.9445 2.47 0.9859 3.23 0.9967−2.84 0.0070 −2.08 0.0289 −1.32 0.1048 −0.56 0.2925 0.20 0.5777 0.96 0.8227 1.72 0.9454 2.48 0.9862 3.24 0.9968−2.83 0.0071 −2.07 0.0295 −1.31 0.1064 −0.55 0.2958 0.21 0.5815 0.97 0.8251 1.73 0.9464 2.49 0.9865 3.25 0.9968−2.82 0.0072 −2.06 0.0300 −1.30 0.1081 −0.54 0.2992 0.22 0.5854 0.98 0.8275 1.74 0.9473 2.50 0.9867 3.26 0.9969−2.81 0.0074 −2.05 0.0305 −1.29 0.1098 −0.53 0.3025 0.23 0.5892 0.99 0.8299 1.75 0.9482 2.51 0.9870 3.27 0.9970−2.80 0.0075 −2.04 0.0311 −1.28 0.1115 −0.52 0.3059 0.24 0.5930 1.00 0.8322 1.76 0.9490 2.52 0.9872 3.28 0.9970−2.79 0.0077 −2.03 0.0317 −1.27 0.1132 −0.51 0.3093 0.25 0.5968 1.01 0.8345 1.77 0.9499 2.53 0.9874 3.29 0.9971−2.78 0.0078 −2.02 0.0322 −1.26 0.1149 −0.50 0.3127 0.26 0.6005 1.02 0.8368 1.78 0.9508 2.54 0.9877 3.30 0.9971−2.77 0.0080 −2.01 0.0328 −1.25 0.1167 −0.49 0.3161 0.27 0.6043 1.03 0.8391 1.79 0.9516 2.55 0.9879 3.31 0.9972−2.76 0.0081 −2.00 0.0334 −1.24 0.1184 −0.48 0.3196 0.28 0.6081 1.04 0.8414 1.80 0.9525 2.56 0.9881 3.32 0.9972−2.75 0.0083 −1.99 0.0340 −1.23 0.1202 −0.47 0.3231 0.29 0.6118 1.05 0.8436 1.81 0.9533 2.57 0.9884 3.33 0.9973−2.74 0.0084 −1.98 0.0346 −1.22 0.1221 −0.46 0.3266 0.30 0.6155 1.06 0.8458 1.82 0.9541 2.58 0.9886 3.34 0.9973−2.73 0.0086 −1.97 0.0353 −1.21 0.1239 −0.45 0.3301 0.31 0.6193 1.07 0.8480 1.83 0.9549 2.59 0.9888 3.35 0.9974−2.72 0.0088 −1.96 0.0359 −1.20 0.1258 −0.44 0.3336 0.32 0.6230 1.08 0.8501 1.84 0.9556 2.60 0.9890 3.36 0.9974−2.71 0.0089 −1.95 0.0365 −1.19 0.1277 −0.43 0.3371 0.33 0.6267 1.09 0.8522 1.85 0.9564 2.61 0.9892 3.37 0.9975−2.70 0.0091 −1.94 0.0372 −1.18 0.1296 −0.42 0.3407 0.34 0.6304 1.10 0.8544 1.86 0.9572 2.62 0.9894 3.38 0.9975−2.69 0.0093 −1.93 0.0379 −1.17 0.1315 −0.41 0.3442 0.35 0.6340 1.11 0.8564 1.87 0.9579 2.63 0.9896 3.39 0.9976−2.68 0.0095 −1.92 0.0385 −1.16 0.1335 −0.40 0.3478 0.36 0.6377 1.12 0.8585 1.88 0.9586 2.64 0.9898 3.40 0.9976−2.67 0.0096 −1.91 0.0392 −1.15 0.1354 −0.39 0.3514 0.37 0.6413 1.13 0.8606 1.89 0.9594 2.65 0.9900 3.41 0.9977−2.66 0.0098 −1.90 0.0399 −1.14 0.1374 −0.38 0.3550 0.38 0.6450 1.14 0.8626 1.90 0.9601 2.66 0.9902 3.42 0.9977−2.65 0.0100 −1.89 0.0406 −1.13 0.1394 −0.37 0.3587 0.39 0.6486 1.15 0.8646 1.91 0.9608 2.67 0.9904 3.43 0.9978

Area Under t-distribution to the Left of t =x− µs/√n

14 degree(s) of freedom−3.40 0.0022 −2.64 0.0097 −1.88 0.0405 −1.12 0.1408 −0.36 0.3621 0.40 0.6524 1.16 0.8673 1.92 0.9623 2.68 0.9910−3.39 0.0022 −2.63 0.0099 −1.87 0.0413 −1.11 0.1429 −0.35 0.3658 0.41 0.6560 1.17 0.8692 1.93 0.9629 2.69 0.9912−3.38 0.0022 −2.62 0.0101 −1.86 0.0420 −1.10 0.1449 −0.34 0.3695 0.42 0.6596 1.18 0.8712 1.94 0.9636 2.70 0.9914−3.37 0.0023 −2.61 0.0103 −1.85 0.0428 −1.09 0.1471 −0.33 0.3731 0.43 0.6631 1.19 0.8731 1.95 0.9643 2.71 0.9915−3.36 0.0023 −2.60 0.0105 −1.84 0.0435 −1.08 0.1492 −0.32 0.3768 0.44 0.6667 1.20 0.8750 1.96 0.9649 2.72 0.9917−3.35 0.0024 −2.59 0.0107 −1.83 0.0443 −1.07 0.1514 −0.31 0.3806 0.45 0.6702 1.21 0.8768 1.97 0.9655 2.73 0.9919−3.34 0.0024 −2.58 0.0109 −1.82 0.0451 −1.06 0.1535 −0.30 0.3843 0.46 0.6737 1.22 0.8787 1.98 0.9661 2.74 0.9920−3.33 0.0025 −2.57 0.0111 −1.81 0.0459 −1.05 0.1558 −0.29 0.3880 0.47 0.6772 1.23 0.8805 1.99 0.9668 2.75 0.9922−3.32 0.0025 −2.56 0.0113 −1.80 0.0467 −1.04 0.1580 −0.28 0.3918 0.48 0.6807 1.24 0.8823 2.00 0.9674 2.76 0.9923−3.31 0.0026 −2.55 0.0116 −1.79 0.0475 −1.03 0.1602 −0.27 0.3955 0.49 0.6841 1.25 0.8841 2.01 0.9679 2.77 0.9925−3.30 0.0026 −2.54 0.0118 −1.78 0.0484 −1.02 0.1625 −0.26 0.3993 0.50 0.6876 1.26 0.8859 2.02 0.9685 2.78 0.9926−3.29 0.0027 −2.53 0.0120 −1.77 0.0492 −1.01 0.1648 −0.25 0.4031 0.51 0.6910 1.27 0.8876 2.03 0.9691 2.79 0.9928−3.28 0.0027 −2.52 0.0123 −1.76 0.0501 −1.00 0.1671 −0.24 0.4069 0.52 0.6944 1.28 0.8893 2.04 0.9697 2.80 0.9929−3.27 0.0028 −2.51 0.0125 −1.75 0.0510 −0.99 0.1695 −0.23 0.4107 0.53 0.6978 1.29 0.8910 2.05 0.9702 2.81 0.9930−3.26 0.0028 −2.50 0.0127 −1.74 0.0519 −0.98 0.1719 −0.22 0.4145 0.54 0.7012 1.30 0.8927 2.06 0.9708 2.82 0.9932−3.25 0.0029 −2.49 0.0130 −1.73 0.0528 −0.97 0.1743 −0.21 0.4183 0.55 0.7045 1.31 0.8944 2.07 0.9713 2.83 0.9933−3.24 0.0030 −2.48 0.0132 −1.72 0.0537 −0.96 0.1767 −0.20 0.4222 0.56 0.7078 1.32 0.8960 2.08 0.9718 2.84 0.9934−3.23 0.0030 −2.47 0.0135 −1.71 0.0547 −0.95 0.1791 −0.19 0.4260 0.57 0.7111 1.33 0.8976 2.09 0.9723 2.85 0.9936−3.22 0.0031 −2.46 0.0138 −1.70 0.0556 −0.94 0.1816 −0.18 0.4299 0.58 0.7144 1.34 0.8992 2.10 0.9728 2.86 0.9937−3.21 0.0031 −2.45 0.0140 −1.69 0.0566 −0.93 0.1841 −0.17 0.4337 0.59 0.7177 1.35 0.9008 2.11 0.9733 2.87 0.9938−3.20 0.0032 −2.44 0.0143 −1.68 0.0576 −0.92 0.1866 −0.16 0.4376 0.60 0.7210 1.36 0.9023 2.12 0.9738 2.88 0.9939−3.19 0.0033 −2.43 0.0146 −1.67 0.0586 −0.91 0.1891 −0.15 0.4415 0.61 0.7242 1.37 0.9039 2.13 0.9743 2.89 0.9941−3.18 0.0033 −2.42 0.0149 −1.66 0.0596 −0.90 0.1917 −0.14 0.4453 0.62 0.7274 1.38 0.9054 2.14 0.9748 2.90 0.9942−3.17 0.0034 −2.41 0.0151 −1.65 0.0606 −0.89 0.1943 −0.13 0.4492 0.63 0.7306 1.39 0.9069 2.15 0.9752 2.91 0.9943−3.16 0.0035 −2.40 0.0154 −1.64 0.0616 −0.88 0.1969 −0.12 0.4531 0.64 0.7337 1.40 0.9084 2.16 0.9757 2.92 0.9944−3.15 0.0035 −2.39 0.0157 −1.63 0.0627 −0.87 0.1995 −0.11 0.4570 0.65 0.7369 1.41 0.9098 2.17 0.9761 2.93 0.9945−3.14 0.0036 −2.38 0.0160 −1.62 0.0638 −0.86 0.2021 −0.10 0.4609 0.66 0.7400 1.42 0.9113 2.18 0.9766 2.94 0.9946−3.13 0.0037 −2.37 0.0163 −1.61 0.0649 −0.85 0.2048 −0.09 0.4648 0.67 0.7431 1.43 0.9127 2.19 0.9770 2.95 0.9947−3.12 0.0038 −2.36 0.0167 −1.60 0.0660 −0.84 0.2075 −0.08 0.4687 0.68 0.7462 1.44 0.9141 2.20 0.9774 2.96 0.9948−3.11 0.0038 −2.35 0.0170 −1.59 0.0671 −0.83 0.2102 −0.07 0.4726 0.69 0.7493 1.45 0.9155 2.21 0.9779 2.97 0.9949−3.10 0.0039 −2.34 0.0173 −1.58 0.0682 −0.82 0.2130 −0.06 0.4765 0.70 0.7523 1.46 0.9168 2.22 0.9783 2.98 0.9950−3.09 0.0040 −2.33 0.0176 −1.57 0.0694 −0.81 0.2157 −0.05 0.4804 0.71 0.7553 1.47 0.9182 2.23 0.9787 2.99 0.9951−3.08 0.0041 −2.32 0.0180 −1.56 0.0705 −0.80 0.2185 −0.04 0.4843 0.72 0.7583 1.48 0.9195 2.24 0.9791 3.00 0.9952−3.07 0.0042 −2.31 0.0183 −1.55 0.0717 −0.79 0.2214 −0.03 0.4882 0.73 0.7613 1.49 0.9208 2.25 0.9795 3.01 0.9953−3.06 0.0042 −2.30 0.0187 −1.54 0.0729 −0.78 0.2242 −0.02 0.4922 0.74 0.7642 1.50 0.9221 2.26 0.9799 3.02 0.9954−3.05 0.0043 −2.29 0.0190 −1.53 0.0741 −0.77 0.2270 −0.01 0.4961 0.75 0.7672 1.51 0.9234 2.27 0.9802 3.03 0.9955−3.04 0.0044 −2.28 0.0194 −1.52 0.0754 −0.76 0.2299 0.00 0.5000 0.76 0.7701 1.52 0.9246 2.28 0.9806 3.04 0.9956−3.03 0.0045 −2.27 0.0198 −1.51 0.0766 −0.75 0.2328 0.01 0.5039 0.77 0.7730 1.53 0.9259 2.29 0.9810 3.05 0.9957−3.02 0.0046 −2.26 0.0201 −1.50 0.0779 −0.74 0.2358 0.02 0.5078 0.78 0.7758 1.54 0.9271 2.30 0.9813 3.06 0.9958−3.01 0.0047 −2.25 0.0205 −1.49 0.0792 −0.73 0.2387 0.03 0.5118 0.79 0.7786 1.55 0.9283 2.31 0.9817 3.07 0.9958−3.00 0.0048 −2.24 0.0209 −1.48 0.0805 −0.72 0.2417 0.04 0.5157 0.80 0.7815 1.56 0.9295 2.32 0.9820 3.08 0.9959−2.99 0.0049 −2.23 0.0213 −1.47 0.0818 −0.71 0.2447 0.05 0.5196 0.81 0.7843 1.57 0.9306 2.33 0.9824 3.09 0.9960−2.98 0.0050 −2.22 0.0217 −1.46 0.0832 −0.70 0.2477 0.06 0.5235 0.82 0.7870 1.58 0.9318 2.34 0.9827 3.10 0.9961−2.97 0.0051 −2.21 0.0221 −1.45 0.0845 −0.69 0.2507 0.07 0.5274 0.83 0.7898 1.59 0.9329 2.35 0.9830 3.11 0.9962−2.96 0.0052 −2.20 0.0226 −1.44 0.0859 −0.68 0.2538 0.08 0.5313 0.84 0.7925 1.60 0.9340 2.36 0.9833 3.12 0.9962−2.95 0.0053 −2.19 0.0230 −1.43 0.0873 −0.67 0.2569 0.09 0.5352 0.85 0.7952 1.61 0.9351 2.37 0.9837 3.13 0.9963−2.94 0.0054 −2.18 0.0234 −1.42 0.0887 −0.66 0.2600 0.10 0.5391 0.86 0.7979 1.62 0.9362 2.38 0.9840 3.14 0.9964−2.93 0.0055 −2.17 0.0239 −1.41 0.0902 −0.65 0.2631 0.11 0.5430 0.87 0.8005 1.63 0.9373 2.39 0.9843 3.15 0.9965−2.92 0.0056 −2.16 0.0243 −1.40 0.0916 −0.64 0.2663 0.12 0.5469 0.88 0.8031 1.64 0.9384 2.40 0.9846 3.16 0.9965−2.91 0.0057 −2.15 0.0248 −1.39 0.0931 −0.63 0.2694 0.13 0.5508 0.89 0.8057 1.65 0.9394 2.41 0.9849 3.17 0.9966−2.90 0.0058 −2.14 0.0252 −1.38 0.0946 −0.62 0.2726 0.14 0.5547 0.90 0.8083 1.66 0.9404 2.42 0.9851 3.18 0.9967−2.89 0.0059 −2.13 0.0257 −1.37 0.0961 −0.61 0.2758 0.15 0.5585 0.91 0.8109 1.67 0.9414 2.43 0.9854 3.19 0.9967−2.88 0.0061 −2.12 0.0262 −1.36 0.0977 −0.60 0.2790 0.16 0.5624 0.92 0.8134 1.68 0.9424 2.44 0.9857 3.20 0.9968−2.87 0.0062 −2.11 0.0267 −1.35 0.0992 −0.59 0.2823 0.17 0.5663 0.93 0.8159 1.69 0.9434 2.45 0.9860 3.21 0.9969−2.86 0.0063 −2.10 0.0272 −1.34 0.1008 −0.58 0.2856 0.18 0.5701 0.94 0.8184 1.70 0.9444 2.46 0.9862 3.22 0.9969−2.85 0.0064 −2.09 0.0277 −1.33 0.1024 −0.57 0.2889 0.19 0.5740 0.95 0.8209 1.71 0.9453 2.47 0.9865 3.23 0.9970−2.84 0.0066 −2.08 0.0282 −1.32 0.1040 −0.56 0.2922 0.20 0.5778 0.96 0.8233 1.72 0.9463 2.48 0.9868 3.24 0.9970−2.83 0.0067 −2.07 0.0287 −1.31 0.1056 −0.55 0.2955 0.21 0.5817 0.97 0.8257 1.73 0.9472 2.49 0.9870 3.25 0.9971−2.82 0.0068 −2.06 0.0292 −1.30 0.1073 −0.54 0.2988 0.22 0.5855 0.98 0.8281 1.74 0.9481 2.50 0.9873 3.26 0.9972−2.81 0.0070 −2.05 0.0298 −1.29 0.1090 −0.53 0.3022 0.23 0.5893 0.99 0.8305 1.75 0.9490 2.51 0.9875 3.27 0.9972−2.80 0.0071 −2.04 0.0303 −1.28 0.1107 −0.52 0.3056 0.24 0.5931 1.00 0.8329 1.76 0.9499 2.52 0.9877 3.28 0.9973−2.79 0.0072 −2.03 0.0309 −1.27 0.1124 −0.51 0.3090 0.25 0.5969 1.01 0.8352 1.77 0.9508 2.53 0.9880 3.29 0.9973−2.78 0.0074 −2.02 0.0315 −1.26 0.1141 −0.50 0.3124 0.26 0.6007 1.02 0.8375 1.78 0.9516 2.54 0.9882 3.30 0.9974−2.77 0.0075 −2.01 0.0321 −1.25 0.1159 −0.49 0.3159 0.27 0.6045 1.03 0.8398 1.79 0.9525 2.55 0.9884 3.31 0.9974−2.76 0.0077 −2.00 0.0326 −1.24 0.1177 −0.48 0.3193 0.28 0.6082 1.04 0.8420 1.80 0.9533 2.56 0.9887 3.32 0.9975−2.75 0.0078 −1.99 0.0332 −1.23 0.1195 −0.47 0.3228 0.29 0.6120 1.05 0.8442 1.81 0.9541 2.57 0.9889 3.33 0.9975−2.74 0.0080 −1.98 0.0339 −1.22 0.1213 −0.46 0.3263 0.30 0.6157 1.06 0.8465 1.82 0.9549 2.58 0.9891 3.34 0.9976−2.73 0.0081 −1.97 0.0345 −1.21 0.1232 −0.45 0.3298 0.31 0.6194 1.07 0.8486 1.83 0.9557 2.59 0.9893 3.35 0.9976−2.72 0.0083 −1.96 0.0351 −1.20 0.1250 −0.44 0.3333 0.32 0.6232 1.08 0.8508 1.84 0.9565 2.60 0.9895 3.36 0.9977−2.71 0.0085 −1.95 0.0357 −1.19 0.1269 −0.43 0.3369 0.33 0.6269 1.09 0.8529 1.85 0.9572 2.61 0.9897 3.37 0.9977−2.70 0.0086 −1.94 0.0364 −1.18 0.1288 −0.42 0.3404 0.34 0.6305 1.10 0.8551 1.86 0.9580 2.62 0.9899 3.38 0.9978−2.69 0.0088 −1.93 0.0371 −1.17 0.1308 −0.41 0.3440 0.35 0.6342 1.11 0.8571 1.87 0.9587 2.63 0.9901 3.39 0.9978−2.68 0.0090 −1.92 0.0377 −1.16 0.1327 −0.40 0.3476 0.36 0.6379 1.12 0.8592 1.88 0.9595 2.64 0.9903 3.40 0.9978−2.67 0.0091 −1.91 0.0384 −1.15 0.1347 −0.39 0.3512 0.37 0.6415 1.13 0.8613 1.89 0.9602 2.65 0.9905 3.41 0.9979−2.66 0.0093 −1.90 0.0391 −1.14 0.1367 −0.38 0.3548 0.38 0.6452 1.14 0.8633 1.90 0.9609 2.66 0.9907 3.42 0.9979−2.65 0.0095 −1.89 0.0398 −1.13 0.1387 −0.37 0.3585 0.39 0.6488 1.15 0.8653 1.91 0.9616 2.67 0.9909 3.43 0.9980

Area Under t-distribution to the Left of t =x− µs/√n

15 degree(s) of freedom−3.40 0.0020 −2.64 0.0093 −1.88 0.0398 −1.12 0.1402 −0.36 0.3619 0.40 0.6526 1.16 0.8679 1.92 0.9630 2.68 0.9914−3.39 0.0020 −2.63 0.0095 −1.87 0.0406 −1.11 0.1422 −0.35 0.3656 0.41 0.6562 1.17 0.8699 1.93 0.9636 2.69 0.9916−3.38 0.0021 −2.62 0.0097 −1.86 0.0413 −1.10 0.1443 −0.34 0.3693 0.42 0.6598 1.18 0.8718 1.94 0.9643 2.70 0.9918−3.37 0.0021 −2.61 0.0099 −1.85 0.0421 −1.09 0.1465 −0.33 0.3730 0.43 0.6633 1.19 0.8737 1.95 0.9649 2.71 0.9919−3.36 0.0021 −2.60 0.0100 −1.84 0.0428 −1.08 0.1486 −0.32 0.3767 0.44 0.6669 1.20 0.8756 1.96 0.9656 2.72 0.9921−3.35 0.0022 −2.59 0.0103 −1.83 0.0436 −1.07 0.1508 −0.31 0.3804 0.45 0.6704 1.21 0.8775 1.97 0.9662 2.73 0.9923−3.34 0.0022 −2.58 0.0105 −1.82 0.0444 −1.06 0.1530 −0.30 0.3841 0.46 0.6739 1.22 0.8794 1.98 0.9668 2.74 0.9924−3.33 0.0023 −2.57 0.0107 −1.81 0.0452 −1.05 0.1552 −0.29 0.3879 0.47 0.6774 1.23 0.8812 1.99 0.9674 2.75 0.9926−3.32 0.0023 −2.56 0.0109 −1.80 0.0460 −1.04 0.1574 −0.28 0.3917 0.48 0.6809 1.24 0.8830 2.00 0.9680 2.76 0.9927−3.31 0.0024 −2.55 0.0111 −1.79 0.0468 −1.03 0.1597 −0.27 0.3954 0.49 0.6844 1.25 0.8848 2.01 0.9686 2.77 0.9929−3.30 0.0024 −2.54 0.0113 −1.78 0.0477 −1.02 0.1619 −0.26 0.3992 0.50 0.6878 1.26 0.8865 2.02 0.9692 2.78 0.9930−3.29 0.0025 −2.53 0.0115 −1.77 0.0485 −1.01 0.1643 −0.25 0.4030 0.51 0.6913 1.27 0.8883 2.03 0.9698 2.79 0.9931−3.28 0.0025 −2.52 0.0118 −1.76 0.0494 −1.00 0.1666 −0.24 0.4068 0.52 0.6947 1.28 0.8900 2.04 0.9703 2.80 0.9933−3.27 0.0026 −2.51 0.0120 −1.75 0.0503 −0.99 0.1689 −0.23 0.4106 0.53 0.6981 1.29 0.8917 2.05 0.9709 2.81 0.9934−3.26 0.0026 −2.50 0.0123 −1.74 0.0512 −0.98 0.1713 −0.22 0.4144 0.54 0.7014 1.30 0.8934 2.06 0.9714 2.82 0.9935−3.25 0.0027 −2.49 0.0125 −1.73 0.0521 −0.97 0.1737 −0.21 0.4182 0.55 0.7048 1.31 0.8950 2.07 0.9719 2.83 0.9937−3.24 0.0027 −2.48 0.0127 −1.72 0.0530 −0.96 0.1761 −0.20 0.4221 0.56 0.7081 1.32 0.8967 2.08 0.9725 2.84 0.9938−3.23 0.0028 −2.47 0.0130 −1.71 0.0539 −0.95 0.1786 −0.19 0.4259 0.57 0.7114 1.33 0.8983 2.09 0.9730 2.85 0.9939−3.22 0.0029 −2.46 0.0133 −1.70 0.0549 −0.94 0.1811 −0.18 0.4298 0.58 0.7147 1.34 0.8999 2.10 0.9735 2.86 0.9940−3.21 0.0029 −2.45 0.0135 −1.69 0.0558 −0.93 0.1835 −0.17 0.4336 0.59 0.7180 1.35 0.9015 2.11 0.9740 2.87 0.9942−3.20 0.0030 −2.44 0.0138 −1.68 0.0568 −0.92 0.1861 −0.16 0.4375 0.60 0.7213 1.36 0.9030 2.12 0.9745 2.88 0.9943−3.19 0.0030 −2.43 0.0141 −1.67 0.0578 −0.91 0.1886 −0.15 0.4414 0.61 0.7245 1.37 0.9046 2.13 0.9749 2.89 0.9944−3.18 0.0031 −2.42 0.0143 −1.66 0.0588 −0.90 0.1912 −0.14 0.4453 0.62 0.7277 1.38 0.9061 2.14 0.9754 2.90 0.9945−3.17 0.0032 −2.41 0.0146 −1.65 0.0599 −0.89 0.1938 −0.13 0.4491 0.63 0.7309 1.39 0.9076 2.15 0.9759 2.91 0.9946−3.16 0.0032 −2.40 0.0149 −1.64 0.0609 −0.88 0.1964 −0.12 0.4530 0.64 0.7341 1.40 0.9091 2.16 0.9763 2.92 0.9947−3.15 0.0033 −2.39 0.0152 −1.63 0.0620 −0.87 0.1990 −0.11 0.4569 0.65 0.7372 1.41 0.9105 2.17 0.9768 2.93 0.9948−3.14 0.0034 −2.38 0.0155 −1.62 0.0630 −0.86 0.2017 −0.10 0.4608 0.66 0.7404 1.42 0.9120 2.18 0.9772 2.94 0.9949−3.13 0.0034 −2.37 0.0158 −1.61 0.0641 −0.85 0.2043 −0.09 0.4647 0.67 0.7435 1.43 0.9134 2.19 0.9776 2.95 0.9950−3.12 0.0035 −2.36 0.0161 −1.60 0.0652 −0.84 0.2070 −0.08 0.4686 0.68 0.7466 1.44 0.9148 2.20 0.9781 2.96 0.9951−3.11 0.0036 −2.35 0.0164 −1.59 0.0663 −0.83 0.2098 −0.07 0.4726 0.69 0.7496 1.45 0.9162 2.21 0.9785 2.97 0.9952−3.10 0.0037 −2.34 0.0168 −1.58 0.0675 −0.82 0.2125 −0.06 0.4765 0.70 0.7527 1.46 0.9175 2.22 0.9789 2.98 0.9953−3.09 0.0037 −2.33 0.0171 −1.57 0.0686 −0.81 0.2153 −0.05 0.4804 0.71 0.7557 1.47 0.9189 2.23 0.9793 2.99 0.9954−3.08 0.0038 −2.32 0.0174 −1.56 0.0698 −0.80 0.2181 −0.04 0.4843 0.72 0.7587 1.48 0.9202 2.24 0.9797 3.00 0.9955−3.07 0.0039 −2.31 0.0178 −1.55 0.0710 −0.79 0.2209 −0.03 0.4882 0.73 0.7617 1.49 0.9215 2.25 0.9801 3.01 0.9956−3.06 0.0040 −2.30 0.0181 −1.54 0.0722 −0.78 0.2238 −0.02 0.4922 0.74 0.7646 1.50 0.9228 2.26 0.9804 3.02 0.9957−3.05 0.0041 −2.29 0.0185 −1.53 0.0734 −0.77 0.2266 −0.01 0.4961 0.75 0.7676 1.51 0.9241 2.27 0.9808 3.03 0.9958−3.04 0.0041 −2.28 0.0188 −1.52 0.0747 −0.76 0.2295 0.00 0.5000 0.76 0.7705 1.52 0.9253 2.28 0.9812 3.04 0.9959−3.03 0.0042 −2.27 0.0192 −1.51 0.0759 −0.75 0.2324 0.01 0.5039 0.77 0.7734 1.53 0.9266 2.29 0.9815 3.05 0.9959−3.02 0.0043 −2.26 0.0196 −1.50 0.0772 −0.74 0.2354 0.02 0.5078 0.78 0.7762 1.54 0.9278 2.30 0.9819 3.06 0.9960−3.01 0.0044 −2.25 0.0199 −1.49 0.0785 −0.73 0.2383 0.03 0.5118 0.79 0.7791 1.55 0.9290 2.31 0.9822 3.07 0.9961−3.00 0.0045 −2.24 0.0203 −1.48 0.0798 −0.72 0.2413 0.04 0.5157 0.80 0.7819 1.56 0.9302 2.32 0.9826 3.08 0.9962−2.99 0.0046 −2.23 0.0207 −1.47 0.0811 −0.71 0.2443 0.05 0.5196 0.81 0.7847 1.57 0.9314 2.33 0.9829 3.09 0.9963−2.98 0.0047 −2.22 0.0211 −1.46 0.0825 −0.70 0.2473 0.06 0.5235 0.82 0.7875 1.58 0.9325 2.34 0.9832 3.10 0.9963−2.97 0.0048 −2.21 0.0215 −1.45 0.0838 −0.69 0.2504 0.07 0.5274 0.83 0.7902 1.59 0.9337 2.35 0.9836 3.11 0.9964−2.96 0.0049 −2.20 0.0219 −1.44 0.0852 −0.68 0.2534 0.08 0.5314 0.84 0.7930 1.60 0.9348 2.36 0.9839 3.12 0.9965−2.95 0.0050 −2.19 0.0224 −1.43 0.0866 −0.67 0.2565 0.09 0.5353 0.85 0.7957 1.61 0.9359 2.37 0.9842 3.13 0.9966−2.94 0.0051 −2.18 0.0228 −1.42 0.0880 −0.66 0.2596 0.10 0.5392 0.86 0.7983 1.62 0.9370 2.38 0.9845 3.14 0.9966−2.93 0.0052 −2.17 0.0232 −1.41 0.0895 −0.65 0.2628 0.11 0.5431 0.87 0.8010 1.63 0.9380 2.39 0.9848 3.15 0.9967−2.92 0.0053 −2.16 0.0237 −1.40 0.0909 −0.64 0.2659 0.12 0.5470 0.88 0.8036 1.64 0.9391 2.40 0.9851 3.16 0.9968−2.91 0.0054 −2.15 0.0241 −1.39 0.0924 −0.63 0.2691 0.13 0.5509 0.89 0.8062 1.65 0.9401 2.41 0.9854 3.17 0.9968−2.90 0.0055 −2.14 0.0246 −1.38 0.0939 −0.62 0.2723 0.14 0.5547 0.90 0.8088 1.66 0.9412 2.42 0.9857 3.18 0.9969−2.89 0.0056 −2.13 0.0251 −1.37 0.0954 −0.61 0.2755 0.15 0.5586 0.91 0.8114 1.67 0.9422 2.43 0.9859 3.19 0.9970−2.88 0.0057 −2.12 0.0255 −1.36 0.0970 −0.60 0.2787 0.16 0.5625 0.92 0.8139 1.68 0.9432 2.44 0.9862 3.20 0.9970−2.87 0.0058 −2.11 0.0260 −1.35 0.0985 −0.59 0.2820 0.17 0.5664 0.93 0.8165 1.69 0.9442 2.45 0.9865 3.21 0.9971−2.86 0.0060 −2.10 0.0265 −1.34 0.1001 −0.58 0.2853 0.18 0.5702 0.94 0.8189 1.70 0.9451 2.46 0.9867 3.22 0.9971−2.85 0.0061 −2.09 0.0270 −1.33 0.1017 −0.57 0.2886 0.19 0.5741 0.95 0.8214 1.71 0.9461 2.47 0.9870 3.23 0.9972−2.84 0.0062 −2.08 0.0275 −1.32 0.1033 −0.56 0.2919 0.20 0.5779 0.96 0.8239 1.72 0.9470 2.48 0.9873 3.24 0.9973−2.83 0.0063 −2.07 0.0281 −1.31 0.1050 −0.55 0.2952 0.21 0.5818 0.97 0.8263 1.73 0.9479 2.49 0.9875 3.25 0.9973−2.82 0.0065 −2.06 0.0286 −1.30 0.1066 −0.54 0.2986 0.22 0.5856 0.98 0.8287 1.74 0.9488 2.50 0.9877 3.26 0.9974−2.81 0.0066 −2.05 0.0291 −1.29 0.1083 −0.53 0.3019 0.23 0.5894 0.99 0.8311 1.75 0.9497 2.51 0.9880 3.27 0.9974−2.80 0.0067 −2.04 0.0297 −1.28 0.1100 −0.52 0.3053 0.24 0.5932 1.00 0.8334 1.76 0.9506 2.52 0.9882 3.28 0.9975−2.79 0.0069 −2.03 0.0302 −1.27 0.1117 −0.51 0.3087 0.25 0.5970 1.01 0.8357 1.77 0.9515 2.53 0.9885 3.29 0.9975−2.78 0.0070 −2.02 0.0308 −1.26 0.1135 −0.50 0.3122 0.26 0.6008 1.02 0.8381 1.78 0.9523 2.54 0.9887 3.30 0.9976−2.77 0.0071 −2.01 0.0314 −1.25 0.1152 −0.49 0.3156 0.27 0.6046 1.03 0.8403 1.79 0.9532 2.55 0.9889 3.31 0.9976−2.76 0.0073 −2.00 0.0320 −1.24 0.1170 −0.48 0.3191 0.28 0.6083 1.04 0.8426 1.80 0.9540 2.56 0.9891 3.32 0.9977−2.75 0.0074 −1.99 0.0326 −1.23 0.1188 −0.47 0.3226 0.29 0.6121 1.05 0.8448 1.81 0.9548 2.57 0.9893 3.33 0.9977−2.74 0.0076 −1.98 0.0332 −1.22 0.1206 −0.46 0.3261 0.30 0.6159 1.06 0.8470 1.82 0.9556 2.58 0.9895 3.34 0.9978−2.73 0.0077 −1.97 0.0338 −1.21 0.1225 −0.45 0.3296 0.31 0.6196 1.07 0.8492 1.83 0.9564 2.59 0.9897 3.35 0.9978−2.72 0.0079 −1.96 0.0344 −1.20 0.1244 −0.44 0.3331 0.32 0.6233 1.08 0.8514 1.84 0.9572 2.60 0.9900 3.36 0.9979−2.71 0.0081 −1.95 0.0351 −1.19 0.1263 −0.43 0.3367 0.33 0.6270 1.09 0.8535 1.85 0.9579 2.61 0.9901 3.37 0.9979−2.70 0.0082 −1.94 0.0357 −1.18 0.1282 −0.42 0.3402 0.34 0.6307 1.10 0.8557 1.86 0.9587 2.62 0.9903 3.38 0.9979−2.69 0.0084 −1.93 0.0364 −1.17 0.1301 −0.41 0.3438 0.35 0.6344 1.11 0.8578 1.87 0.9594 2.63 0.9905 3.39 0.9980−2.68 0.0086 −1.92 0.0370 −1.16 0.1321 −0.40 0.3474 0.36 0.6381 1.12 0.8598 1.88 0.9602 2.64 0.9907 3.40 0.9980−2.67 0.0087 −1.91 0.0377 −1.15 0.1341 −0.39 0.3510 0.37 0.6417 1.13 0.8619 1.89 0.9609 2.65 0.9909 3.41 0.9981−2.66 0.0089 −1.90 0.0384 −1.14 0.1361 −0.38 0.3546 0.38 0.6454 1.14 0.8639 1.90 0.9616 2.66 0.9911 3.42 0.9981−2.65 0.0091 −1.89 0.0391 −1.13 0.1381 −0.37 0.3583 0.39 0.6490 1.15 0.8659 1.91 0.9623 2.67 0.9913 3.43 0.9981

Area Under t-distribution to the Left of t =x− µs/√n

16 degree(s) of freedom−3.40 0.0018 −2.64 0.0089 −1.88 0.0392 −1.12 0.1396 −0.36 0.3618 0.40 0.6528 1.16 0.8685 1.92 0.9636 2.68 0.9918−3.39 0.0019 −2.63 0.0091 −1.87 0.0399 −1.11 0.1417 −0.35 0.3655 0.41 0.6564 1.17 0.8704 1.93 0.9642 2.69 0.9920−3.38 0.0019 −2.62 0.0093 −1.86 0.0407 −1.10 0.1438 −0.34 0.3691 0.42 0.6600 1.18 0.8724 1.94 0.9649 2.70 0.9921−3.37 0.0019 −2.61 0.0095 −1.85 0.0414 −1.09 0.1459 −0.33 0.3728 0.43 0.6635 1.19 0.8743 1.95 0.9655 2.71 0.9923−3.36 0.0020 −2.60 0.0097 −1.84 0.0422 −1.08 0.1481 −0.32 0.3766 0.44 0.6671 1.20 0.8762 1.96 0.9662 2.72 0.9924−3.35 0.0020 −2.59 0.0099 −1.83 0.0430 −1.07 0.1502 −0.31 0.3803 0.45 0.6706 1.21 0.8781 1.97 0.9668 2.73 0.9926−3.34 0.0021 −2.58 0.0101 −1.82 0.0438 −1.06 0.1524 −0.30 0.3840 0.46 0.6741 1.22 0.8799 1.98 0.9674 2.74 0.9927−3.33 0.0021 −2.57 0.0103 −1.81 0.0446 −1.05 0.1547 −0.29 0.3878 0.47 0.6777 1.23 0.8818 1.99 0.9680 2.75 0.9929−3.32 0.0022 −2.56 0.0105 −1.80 0.0454 −1.04 0.1569 −0.28 0.3915 0.48 0.6811 1.24 0.8836 2.00 0.9686 2.76 0.9930−3.31 0.0022 −2.55 0.0107 −1.79 0.0462 −1.03 0.1592 −0.27 0.3953 0.49 0.6846 1.25 0.8854 2.01 0.9692 2.77 0.9932−3.30 0.0023 −2.54 0.0109 −1.78 0.0470 −1.02 0.1615 −0.26 0.3991 0.50 0.6881 1.26 0.8871 2.02 0.9698 2.78 0.9933−3.29 0.0023 −2.53 0.0111 −1.77 0.0479 −1.01 0.1638 −0.25 0.4029 0.51 0.6915 1.27 0.8889 2.03 0.9703 2.79 0.9934−3.28 0.0024 −2.52 0.0114 −1.76 0.0488 −1.00 0.1661 −0.24 0.4067 0.52 0.6949 1.28 0.8906 2.04 0.9709 2.80 0.9936−3.27 0.0024 −2.51 0.0116 −1.75 0.0496 −0.99 0.1685 −0.23 0.4105 0.53 0.6983 1.29 0.8923 2.05 0.9714 2.81 0.9937−3.26 0.0025 −2.50 0.0118 −1.74 0.0505 −0.98 0.1708 −0.22 0.4143 0.54 0.7017 1.30 0.8940 2.06 0.9720 2.82 0.9938−3.25 0.0025 −2.49 0.0121 −1.73 0.0514 −0.97 0.1732 −0.21 0.4182 0.55 0.7050 1.31 0.8957 2.07 0.9725 2.83 0.9940−3.24 0.0026 −2.48 0.0123 −1.72 0.0524 −0.96 0.1757 −0.20 0.4220 0.56 0.7084 1.32 0.8973 2.08 0.9730 2.84 0.9941−3.23 0.0026 −2.47 0.0126 −1.71 0.0533 −0.95 0.1781 −0.19 0.4258 0.57 0.7117 1.33 0.8989 2.09 0.9735 2.85 0.9942−3.22 0.0027 −2.46 0.0128 −1.70 0.0542 −0.94 0.1806 −0.18 0.4297 0.58 0.7150 1.34 0.9005 2.10 0.9740 2.86 0.9943−3.21 0.0027 −2.45 0.0131 −1.69 0.0552 −0.93 0.1831 −0.17 0.4336 0.59 0.7183 1.35 0.9021 2.11 0.9745 2.87 0.9944−3.20 0.0028 −2.44 0.0134 −1.68 0.0562 −0.92 0.1856 −0.16 0.4374 0.60 0.7215 1.36 0.9037 2.12 0.9750 2.88 0.9946−3.19 0.0028 −2.43 0.0136 −1.67 0.0572 −0.91 0.1882 −0.15 0.4413 0.61 0.7248 1.37 0.9052 2.13 0.9755 2.89 0.9947−3.18 0.0029 −2.42 0.0139 −1.66 0.0582 −0.90 0.1907 −0.14 0.4452 0.62 0.7280 1.38 0.9067 2.14 0.9759 2.90 0.9948−3.17 0.0030 −2.41 0.0142 −1.65 0.0592 −0.89 0.1933 −0.13 0.4491 0.63 0.7312 1.39 0.9082 2.15 0.9764 2.91 0.9949−3.16 0.0030 −2.40 0.0145 −1.64 0.0603 −0.88 0.1959 −0.12 0.4530 0.64 0.7344 1.40 0.9097 2.16 0.9769 2.92 0.9950−3.15 0.0031 −2.39 0.0148 −1.63 0.0613 −0.87 0.1986 −0.11 0.4569 0.65 0.7375 1.41 0.9112 2.17 0.9773 2.93 0.9951−3.14 0.0032 −2.38 0.0150 −1.62 0.0624 −0.86 0.2012 −0.10 0.4608 0.66 0.7407 1.42 0.9126 2.18 0.9777 2.94 0.9952−3.13 0.0032 −2.37 0.0153 −1.61 0.0635 −0.85 0.2039 −0.09 0.4647 0.67 0.7438 1.43 0.9140 2.19 0.9782 2.95 0.9953−3.12 0.0033 −2.36 0.0157 −1.60 0.0646 −0.84 0.2066 −0.08 0.4686 0.68 0.7469 1.44 0.9154 2.20 0.9786 2.96 0.9954−3.11 0.0034 −2.35 0.0160 −1.59 0.0657 −0.83 0.2094 −0.07 0.4725 0.69 0.7500 1.45 0.9168 2.21 0.9790 2.97 0.9955−3.10 0.0034 −2.34 0.0163 −1.58 0.0668 −0.82 0.2121 −0.06 0.4764 0.70 0.7530 1.46 0.9182 2.22 0.9794 2.98 0.9956−3.09 0.0035 −2.33 0.0166 −1.57 0.0680 −0.81 0.2149 −0.05 0.4804 0.71 0.7560 1.47 0.9195 2.23 0.9798 2.99 0.9957−3.08 0.0036 −2.32 0.0169 −1.56 0.0692 −0.80 0.2177 −0.04 0.4843 0.72 0.7590 1.48 0.9209 2.24 0.9802 3.00 0.9958−3.07 0.0037 −2.31 0.0173 −1.55 0.0703 −0.79 0.2205 −0.03 0.4882 0.73 0.7620 1.49 0.9222 2.25 0.9806 3.01 0.9958−3.06 0.0037 −2.30 0.0176 −1.54 0.0716 −0.78 0.2234 −0.02 0.4921 0.74 0.7650 1.50 0.9235 2.26 0.9809 3.02 0.9959−3.05 0.0038 −2.29 0.0180 −1.53 0.0728 −0.77 0.2263 −0.01 0.4961 0.75 0.7679 1.51 0.9247 2.27 0.9813 3.03 0.9960−3.04 0.0039 −2.28 0.0183 −1.52 0.0740 −0.76 0.2292 0.00 0.5000 0.76 0.7708 1.52 0.9260 2.28 0.9817 3.04 0.9961−3.03 0.0040 −2.27 0.0187 −1.51 0.0753 −0.75 0.2321 0.01 0.5039 0.77 0.7737 1.53 0.9272 2.29 0.9820 3.05 0.9962−3.02 0.0041 −2.26 0.0191 −1.50 0.0765 −0.74 0.2350 0.02 0.5079 0.78 0.7766 1.54 0.9284 2.30 0.9824 3.06 0.9963−3.01 0.0042 −2.25 0.0194 −1.49 0.0778 −0.73 0.2380 0.03 0.5118 0.79 0.7795 1.55 0.9297 2.31 0.9827 3.07 0.9963−3.00 0.0042 −2.24 0.0198 −1.48 0.0791 −0.72 0.2410 0.04 0.5157 0.80 0.7823 1.56 0.9308 2.32 0.9831 3.08 0.9964−2.99 0.0043 −2.23 0.0202 −1.47 0.0805 −0.71 0.2440 0.05 0.5196 0.81 0.7851 1.57 0.9320 2.33 0.9834 3.09 0.9965−2.98 0.0044 −2.22 0.0206 −1.46 0.0818 −0.70 0.2470 0.06 0.5236 0.82 0.7879 1.58 0.9332 2.34 0.9837 3.10 0.9966−2.97 0.0045 −2.21 0.0210 −1.45 0.0832 −0.69 0.2500 0.07 0.5275 0.83 0.7906 1.59 0.9343 2.35 0.9840 3.11 0.9966−2.96 0.0046 −2.20 0.0214 −1.44 0.0846 −0.68 0.2531 0.08 0.5314 0.84 0.7934 1.60 0.9354 2.36 0.9843 3.12 0.9967−2.95 0.0047 −2.19 0.0218 −1.43 0.0860 −0.67 0.2562 0.09 0.5353 0.85 0.7961 1.61 0.9365 2.37 0.9847 3.13 0.9968−2.94 0.0048 −2.18 0.0223 −1.42 0.0874 −0.66 0.2593 0.10 0.5392 0.86 0.7988 1.62 0.9376 2.38 0.9850 3.14 0.9968−2.93 0.0049 −2.17 0.0227 −1.41 0.0888 −0.65 0.2625 0.11 0.5431 0.87 0.8014 1.63 0.9387 2.39 0.9852 3.15 0.9969−2.92 0.0050 −2.16 0.0231 −1.40 0.0903 −0.64 0.2656 0.12 0.5470 0.88 0.8041 1.64 0.9397 2.40 0.9855 3.16 0.9970−2.91 0.0051 −2.15 0.0236 −1.39 0.0918 −0.63 0.2688 0.13 0.5509 0.89 0.8067 1.65 0.9408 2.41 0.9858 3.17 0.9970−2.90 0.0052 −2.14 0.0241 −1.38 0.0933 −0.62 0.2720 0.14 0.5548 0.90 0.8093 1.66 0.9418 2.42 0.9861 3.18 0.9971−2.89 0.0053 −2.13 0.0245 −1.37 0.0948 −0.61 0.2752 0.15 0.5587 0.91 0.8118 1.67 0.9428 2.43 0.9864 3.19 0.9972−2.88 0.0054 −2.12 0.0250 −1.36 0.0963 −0.60 0.2785 0.16 0.5626 0.92 0.8144 1.68 0.9438 2.44 0.9866 3.20 0.9972−2.87 0.0056 −2.11 0.0255 −1.35 0.0979 −0.59 0.2817 0.17 0.5664 0.93 0.8169 1.69 0.9448 2.45 0.9869 3.21 0.9973−2.86 0.0057 −2.10 0.0260 −1.34 0.0995 −0.58 0.2850 0.18 0.5703 0.94 0.8194 1.70 0.9458 2.46 0.9872 3.22 0.9973−2.85 0.0058 −2.09 0.0265 −1.33 0.1011 −0.57 0.2883 0.19 0.5742 0.95 0.8219 1.71 0.9467 2.47 0.9874 3.23 0.9974−2.84 0.0059 −2.08 0.0270 −1.32 0.1027 −0.56 0.2916 0.20 0.5780 0.96 0.8243 1.72 0.9476 2.48 0.9877 3.24 0.9974−2.83 0.0060 −2.07 0.0275 −1.31 0.1043 −0.55 0.2950 0.21 0.5818 0.97 0.8268 1.73 0.9486 2.49 0.9879 3.25 0.9975−2.82 0.0062 −2.06 0.0280 −1.30 0.1060 −0.54 0.2983 0.22 0.5857 0.98 0.8292 1.74 0.9495 2.50 0.9882 3.26 0.9975−2.81 0.0063 −2.05 0.0286 −1.29 0.1077 −0.53 0.3017 0.23 0.5895 0.99 0.8315 1.75 0.9504 2.51 0.9884 3.27 0.9976−2.80 0.0064 −2.04 0.0291 −1.28 0.1094 −0.52 0.3051 0.24 0.5933 1.00 0.8339 1.76 0.9512 2.52 0.9886 3.28 0.9976−2.79 0.0066 −2.03 0.0297 −1.27 0.1111 −0.51 0.3085 0.25 0.5971 1.01 0.8362 1.77 0.9521 2.53 0.9889 3.29 0.9977−2.78 0.0067 −2.02 0.0302 −1.26 0.1129 −0.50 0.3119 0.26 0.6009 1.02 0.8385 1.78 0.9530 2.54 0.9891 3.30 0.9977−2.77 0.0068 −2.01 0.0308 −1.25 0.1146 −0.49 0.3154 0.27 0.6047 1.03 0.8408 1.79 0.9538 2.55 0.9893 3.31 0.9978−2.76 0.0070 −2.00 0.0314 −1.24 0.1164 −0.48 0.3189 0.28 0.6085 1.04 0.8431 1.80 0.9546 2.56 0.9895 3.32 0.9978−2.75 0.0071 −1.99 0.0320 −1.23 0.1182 −0.47 0.3223 0.29 0.6122 1.05 0.8453 1.81 0.9554 2.57 0.9897 3.33 0.9979−2.74 0.0073 −1.98 0.0326 −1.22 0.1201 −0.46 0.3259 0.30 0.6160 1.06 0.8476 1.82 0.9562 2.58 0.9899 3.34 0.9979−2.73 0.0074 −1.97 0.0332 −1.21 0.1219 −0.45 0.3294 0.31 0.6197 1.07 0.8498 1.83 0.9570 2.59 0.9901 3.35 0.9980−2.72 0.0076 −1.96 0.0338 −1.20 0.1238 −0.44 0.3329 0.32 0.6234 1.08 0.8519 1.84 0.9578 2.60 0.9903 3.36 0.9980−2.71 0.0077 −1.95 0.0345 −1.19 0.1257 −0.43 0.3365 0.33 0.6272 1.09 0.8541 1.85 0.9586 2.61 0.9905 3.37 0.9981−2.70 0.0079 −1.94 0.0351 −1.18 0.1276 −0.42 0.3400 0.34 0.6309 1.10 0.8562 1.86 0.9593 2.62 0.9907 3.38 0.9981−2.69 0.0080 −1.93 0.0358 −1.17 0.1296 −0.41 0.3436 0.35 0.6345 1.11 0.8583 1.87 0.9601 2.63 0.9909 3.39 0.9981−2.68 0.0082 −1.92 0.0364 −1.16 0.1315 −0.40 0.3472 0.36 0.6382 1.12 0.8604 1.88 0.9608 2.64 0.9911 3.40 0.9982−2.67 0.0084 −1.91 0.0371 −1.15 0.1335 −0.39 0.3508 0.37 0.6419 1.13 0.8624 1.89 0.9615 2.65 0.9913 3.41 0.9982−2.66 0.0086 −1.90 0.0378 −1.14 0.1355 −0.38 0.3545 0.38 0.6455 1.14 0.8645 1.90 0.9622 2.66 0.9914 3.42 0.9982−2.65 0.0087 −1.89 0.0385 −1.13 0.1376 −0.37 0.3581 0.39 0.6492 1.15 0.8665 1.91 0.9629 2.67 0.9916 3.43 0.9983

Area Under t-distribution to the Left of t =x− µs/√n

17 degree(s) of freedom−3.40 0.0017 −2.64 0.0086 −1.88 0.0387 −1.12 0.1391 −0.36 0.3616 0.40 0.6529 1.16 0.8690 1.92 0.9641 2.68 0.9921−3.39 0.0017 −2.63 0.0088 −1.87 0.0394 −1.11 0.1412 −0.35 0.3653 0.41 0.6565 1.17 0.8709 1.93 0.9648 2.69 0.9923−3.38 0.0018 −2.62 0.0090 −1.86 0.0401 −1.10 0.1433 −0.34 0.3690 0.42 0.6601 1.18 0.8729 1.94 0.9654 2.70 0.9924−3.37 0.0018 −2.61 0.0091 −1.85 0.0409 −1.09 0.1455 −0.33 0.3727 0.43 0.6637 1.19 0.8748 1.95 0.9661 2.71 0.9926−3.36 0.0019 −2.60 0.0093 −1.84 0.0416 −1.08 0.1476 −0.32 0.3764 0.44 0.6673 1.20 0.8767 1.96 0.9667 2.72 0.9927−3.35 0.0019 −2.59 0.0095 −1.83 0.0424 −1.07 0.1498 −0.31 0.3802 0.45 0.6708 1.21 0.8786 1.97 0.9673 2.73 0.9929−3.34 0.0019 −2.58 0.0097 −1.82 0.0432 −1.06 0.1520 −0.30 0.3839 0.46 0.6743 1.22 0.8804 1.98 0.9679 2.74 0.9930−3.33 0.0020 −2.57 0.0099 −1.81 0.0440 −1.05 0.1542 −0.29 0.3877 0.47 0.6778 1.23 0.8823 1.99 0.9685 2.75 0.9932−3.32 0.0020 −2.56 0.0101 −1.80 0.0448 −1.04 0.1565 −0.28 0.3914 0.48 0.6813 1.24 0.8841 2.00 0.9691 2.76 0.9933−3.31 0.0021 −2.55 0.0104 −1.79 0.0456 −1.03 0.1587 −0.27 0.3952 0.49 0.6848 1.25 0.8859 2.01 0.9697 2.77 0.9934−3.30 0.0021 −2.54 0.0106 −1.78 0.0465 −1.02 0.1610 −0.26 0.3990 0.50 0.6883 1.26 0.8877 2.02 0.9703 2.78 0.9936−3.29 0.0022 −2.53 0.0108 −1.77 0.0473 −1.01 0.1633 −0.25 0.4028 0.51 0.6917 1.27 0.8894 2.03 0.9708 2.79 0.9937−3.28 0.0022 −2.52 0.0110 −1.76 0.0482 −1.00 0.1657 −0.24 0.4066 0.52 0.6951 1.28 0.8911 2.04 0.9714 2.80 0.9938−3.27 0.0023 −2.51 0.0112 −1.75 0.0491 −0.99 0.1680 −0.23 0.4104 0.53 0.6985 1.29 0.8928 2.05 0.9719 2.81 0.9940−3.26 0.0023 −2.50 0.0115 −1.74 0.0500 −0.98 0.1704 −0.22 0.4142 0.54 0.7019 1.30 0.8945 2.06 0.9725 2.82 0.9941−3.25 0.0024 −2.49 0.0117 −1.73 0.0509 −0.97 0.1728 −0.21 0.4181 0.55 0.7053 1.31 0.8962 2.07 0.9730 2.83 0.9942−3.24 0.0024 −2.48 0.0120 −1.72 0.0518 −0.96 0.1753 −0.20 0.4219 0.56 0.7086 1.32 0.8978 2.08 0.9735 2.84 0.9943−3.23 0.0025 −2.47 0.0122 −1.71 0.0527 −0.95 0.1777 −0.19 0.4258 0.57 0.7119 1.33 0.8995 2.09 0.9740 2.85 0.9945−3.22 0.0025 −2.46 0.0125 −1.70 0.0537 −0.94 0.1802 −0.18 0.4296 0.58 0.7152 1.34 0.9011 2.10 0.9745 2.86 0.9946−3.21 0.0026 −2.45 0.0127 −1.69 0.0546 −0.93 0.1827 −0.17 0.4335 0.59 0.7185 1.35 0.9026 2.11 0.9750 2.87 0.9947−3.20 0.0026 −2.44 0.0130 −1.68 0.0556 −0.92 0.1852 −0.16 0.4374 0.60 0.7218 1.36 0.9042 2.12 0.9755 2.88 0.9948−3.19 0.0027 −2.43 0.0132 −1.67 0.0566 −0.91 0.1878 −0.15 0.4413 0.61 0.7250 1.37 0.9057 2.13 0.9760 2.89 0.9949−3.18 0.0027 −2.42 0.0135 −1.66 0.0576 −0.90 0.1903 −0.14 0.4452 0.62 0.7283 1.38 0.9073 2.14 0.9764 2.90 0.9950−3.17 0.0028 −2.41 0.0138 −1.65 0.0586 −0.89 0.1929 −0.13 0.4490 0.63 0.7315 1.39 0.9088 2.15 0.9769 2.91 0.9951−3.16 0.0029 −2.40 0.0141 −1.64 0.0597 −0.88 0.1956 −0.12 0.4529 0.64 0.7346 1.40 0.9103 2.16 0.9773 2.92 0.9952−3.15 0.0029 −2.39 0.0144 −1.63 0.0607 −0.87 0.1982 −0.11 0.4568 0.65 0.7378 1.41 0.9117 2.17 0.9778 2.93 0.9953−3.14 0.0030 −2.38 0.0146 −1.62 0.0618 −0.86 0.2009 −0.10 0.4608 0.66 0.7410 1.42 0.9132 2.18 0.9782 2.94 0.9954−3.13 0.0030 −2.37 0.0149 −1.61 0.0629 −0.85 0.2036 −0.09 0.4647 0.67 0.7441 1.43 0.9146 2.19 0.9786 2.95 0.9955−3.12 0.0031 −2.36 0.0152 −1.60 0.0640 −0.84 0.2063 −0.08 0.4686 0.68 0.7472 1.44 0.9160 2.20 0.9790 2.96 0.9956−3.11 0.0032 −2.35 0.0156 −1.59 0.0651 −0.83 0.2090 −0.07 0.4725 0.69 0.7502 1.45 0.9174 2.21 0.9794 2.97 0.9957−3.10 0.0033 −2.34 0.0159 −1.58 0.0663 −0.82 0.2118 −0.06 0.4764 0.70 0.7533 1.46 0.9187 2.22 0.9798 2.98 0.9958−3.09 0.0033 −2.33 0.0162 −1.57 0.0674 −0.81 0.2146 −0.05 0.4804 0.71 0.7563 1.47 0.9201 2.23 0.9802 2.99 0.9959−3.08 0.0034 −2.32 0.0165 −1.56 0.0686 −0.80 0.2174 −0.04 0.4843 0.72 0.7593 1.48 0.9214 2.24 0.9806 3.00 0.9960−3.07 0.0035 −2.31 0.0169 −1.55 0.0698 −0.79 0.2202 −0.03 0.4882 0.73 0.7623 1.49 0.9227 2.25 0.9810 3.01 0.9961−3.06 0.0035 −2.30 0.0172 −1.54 0.0710 −0.78 0.2231 −0.02 0.4921 0.74 0.7653 1.50 0.9240 2.26 0.9814 3.02 0.9961−3.05 0.0036 −2.29 0.0175 −1.53 0.0722 −0.77 0.2259 −0.01 0.4961 0.75 0.7682 1.51 0.9253 2.27 0.9817 3.03 0.9962−3.04 0.0037 −2.28 0.0179 −1.52 0.0734 −0.76 0.2288 0.00 0.5000 0.76 0.7712 1.52 0.9266 2.28 0.9821 3.04 0.9963−3.03 0.0038 −2.27 0.0183 −1.51 0.0747 −0.75 0.2318 0.01 0.5039 0.77 0.7741 1.53 0.9278 2.29 0.9825 3.05 0.9964−3.02 0.0039 −2.26 0.0186 −1.50 0.0760 −0.74 0.2347 0.02 0.5079 0.78 0.7769 1.54 0.9290 2.30 0.9828 3.06 0.9965−3.01 0.0039 −2.25 0.0190 −1.49 0.0773 −0.73 0.2377 0.03 0.5118 0.79 0.7798 1.55 0.9302 2.31 0.9831 3.07 0.9965−3.00 0.0040 −2.24 0.0194 −1.48 0.0786 −0.72 0.2407 0.04 0.5157 0.80 0.7826 1.56 0.9314 2.32 0.9835 3.08 0.9966−2.99 0.0041 −2.23 0.0198 −1.47 0.0799 −0.71 0.2437 0.05 0.5196 0.81 0.7854 1.57 0.9326 2.33 0.9838 3.09 0.9967−2.98 0.0042 −2.22 0.0202 −1.46 0.0813 −0.70 0.2467 0.06 0.5236 0.82 0.7882 1.58 0.9337 2.34 0.9841 3.10 0.9967−2.97 0.0043 −2.21 0.0206 −1.45 0.0826 −0.69 0.2498 0.07 0.5275 0.83 0.7910 1.59 0.9349 2.35 0.9844 3.11 0.9968−2.96 0.0044 −2.20 0.0210 −1.44 0.0840 −0.68 0.2528 0.08 0.5314 0.84 0.7937 1.60 0.9360 2.36 0.9848 3.12 0.9969−2.95 0.0045 −2.19 0.0214 −1.43 0.0854 −0.67 0.2559 0.09 0.5353 0.85 0.7964 1.61 0.9371 2.37 0.9851 3.13 0.9970−2.94 0.0046 −2.18 0.0218 −1.42 0.0868 −0.66 0.2590 0.10 0.5392 0.86 0.7991 1.62 0.9382 2.38 0.9854 3.14 0.9970−2.93 0.0047 −2.17 0.0222 −1.41 0.0883 −0.65 0.2622 0.11 0.5432 0.87 0.8018 1.63 0.9393 2.39 0.9856 3.15 0.9971−2.92 0.0048 −2.16 0.0227 −1.40 0.0897 −0.64 0.2654 0.12 0.5471 0.88 0.8044 1.64 0.9403 2.40 0.9859 3.16 0.9971−2.91 0.0049 −2.15 0.0231 −1.39 0.0912 −0.63 0.2685 0.13 0.5510 0.89 0.8071 1.65 0.9414 2.41 0.9862 3.17 0.9972−2.90 0.0050 −2.14 0.0236 −1.38 0.0927 −0.62 0.2717 0.14 0.5548 0.90 0.8097 1.66 0.9424 2.42 0.9865 3.18 0.9973−2.89 0.0051 −2.13 0.0240 −1.37 0.0943 −0.61 0.2750 0.15 0.5587 0.91 0.8122 1.67 0.9434 2.43 0.9868 3.19 0.9973−2.88 0.0052 −2.12 0.0245 −1.36 0.0958 −0.60 0.2782 0.16 0.5626 0.92 0.8148 1.68 0.9444 2.44 0.9870 3.20 0.9974−2.87 0.0053 −2.11 0.0250 −1.35 0.0974 −0.59 0.2815 0.17 0.5665 0.93 0.8173 1.69 0.9454 2.45 0.9873 3.21 0.9974−2.86 0.0054 −2.10 0.0255 −1.34 0.0989 −0.58 0.2848 0.18 0.5704 0.94 0.8198 1.70 0.9463 2.46 0.9875 3.22 0.9975−2.85 0.0055 −2.09 0.0260 −1.33 0.1005 −0.57 0.2881 0.19 0.5742 0.95 0.8223 1.71 0.9473 2.47 0.9878 3.23 0.9975−2.84 0.0057 −2.08 0.0265 −1.32 0.1022 −0.56 0.2914 0.20 0.5781 0.96 0.8247 1.72 0.9482 2.48 0.9880 3.24 0.9976−2.83 0.0058 −2.07 0.0270 −1.31 0.1038 −0.55 0.2947 0.21 0.5819 0.97 0.8272 1.73 0.9491 2.49 0.9883 3.25 0.9976−2.82 0.0059 −2.06 0.0275 −1.30 0.1055 −0.54 0.2981 0.22 0.5858 0.98 0.8296 1.74 0.9500 2.50 0.9885 3.26 0.9977−2.81 0.0060 −2.05 0.0281 −1.29 0.1072 −0.53 0.3015 0.23 0.5896 0.99 0.8320 1.75 0.9509 2.51 0.9888 3.27 0.9977−2.80 0.0062 −2.04 0.0286 −1.28 0.1089 −0.52 0.3049 0.24 0.5934 1.00 0.8343 1.76 0.9518 2.52 0.9890 3.28 0.9978−2.79 0.0063 −2.03 0.0292 −1.27 0.1106 −0.51 0.3083 0.25 0.5972 1.01 0.8367 1.77 0.9527 2.53 0.9892 3.29 0.9978−2.78 0.0064 −2.02 0.0297 −1.26 0.1123 −0.50 0.3117 0.26 0.6010 1.02 0.8390 1.78 0.9535 2.54 0.9894 3.30 0.9979−2.77 0.0066 −2.01 0.0303 −1.25 0.1141 −0.49 0.3152 0.27 0.6048 1.03 0.8413 1.79 0.9544 2.55 0.9896 3.31 0.9979−2.76 0.0067 −2.00 0.0309 −1.24 0.1159 −0.48 0.3187 0.28 0.6086 1.04 0.8435 1.80 0.9552 2.56 0.9899 3.32 0.9980−2.75 0.0068 −1.99 0.0315 −1.23 0.1177 −0.47 0.3222 0.29 0.6123 1.05 0.8458 1.81 0.9560 2.57 0.9901 3.33 0.9980−2.74 0.0070 −1.98 0.0321 −1.22 0.1196 −0.46 0.3257 0.30 0.6161 1.06 0.8480 1.82 0.9568 2.58 0.9903 3.34 0.9981−2.73 0.0071 −1.97 0.0327 −1.21 0.1214 −0.45 0.3292 0.31 0.6198 1.07 0.8502 1.83 0.9576 2.59 0.9905 3.35 0.9981−2.72 0.0073 −1.96 0.0333 −1.20 0.1233 −0.44 0.3327 0.32 0.6236 1.08 0.8524 1.84 0.9584 2.60 0.9907 3.36 0.9981−2.71 0.0074 −1.95 0.0339 −1.19 0.1252 −0.43 0.3363 0.33 0.6273 1.09 0.8545 1.85 0.9591 2.61 0.9909 3.37 0.9982−2.70 0.0076 −1.94 0.0346 −1.18 0.1271 −0.42 0.3399 0.34 0.6310 1.10 0.8567 1.86 0.9599 2.62 0.9910 3.38 0.9982−2.69 0.0077 −1.93 0.0352 −1.17 0.1291 −0.41 0.3435 0.35 0.6347 1.11 0.8588 1.87 0.9606 2.63 0.9912 3.39 0.9983−2.68 0.0079 −1.92 0.0359 −1.16 0.1310 −0.40 0.3471 0.36 0.6384 1.12 0.8609 1.88 0.9613 2.64 0.9914 3.40 0.9983−2.67 0.0081 −1.91 0.0366 −1.15 0.1330 −0.39 0.3507 0.37 0.6420 1.13 0.8629 1.89 0.9620 2.65 0.9916 3.41 0.9983−2.66 0.0082 −1.90 0.0373 −1.14 0.1350 −0.38 0.3543 0.38 0.6457 1.14 0.8650 1.90 0.9627 2.66 0.9918 3.42 0.9984−2.65 0.0084 −1.89 0.0380 −1.13 0.1371 −0.37 0.3580 0.39 0.6493 1.15 0.8670 1.91 0.9634 2.67 0.9919 3.43 0.9984

Area Under t-distribution to the Left of t =x− µs/√n

18 degree(s) of freedom−3.40 0.0016 −2.64 0.0083 −1.88 0.0382 −1.12 0.1387 −0.36 0.3615 0.40 0.6531 1.16 0.8694 1.92 0.9646 2.68 0.9924−3.39 0.0016 −2.63 0.0085 −1.87 0.0389 −1.11 0.1408 −0.35 0.3652 0.41 0.6567 1.17 0.8714 1.93 0.9652 2.69 0.9925−3.38 0.0017 −2.62 0.0087 −1.86 0.0397 −1.10 0.1429 −0.34 0.3689 0.42 0.6603 1.18 0.8733 1.94 0.9659 2.70 0.9927−3.37 0.0017 −2.61 0.0089 −1.85 0.0404 −1.09 0.1450 −0.33 0.3726 0.43 0.6639 1.19 0.8752 1.95 0.9665 2.71 0.9928−3.36 0.0017 −2.60 0.0090 −1.84 0.0412 −1.08 0.1472 −0.32 0.3763 0.44 0.6674 1.20 0.8772 1.96 0.9672 2.72 0.9930−3.35 0.0018 −2.59 0.0092 −1.83 0.0419 −1.07 0.1494 −0.31 0.3801 0.45 0.6710 1.21 0.8790 1.97 0.9678 2.73 0.9931−3.34 0.0018 −2.58 0.0094 −1.82 0.0427 −1.06 0.1516 −0.30 0.3838 0.46 0.6745 1.22 0.8809 1.98 0.9684 2.74 0.9933−3.33 0.0019 −2.57 0.0096 −1.81 0.0435 −1.05 0.1538 −0.29 0.3876 0.47 0.6780 1.23 0.8827 1.99 0.9690 2.75 0.9934−3.32 0.0019 −2.56 0.0098 −1.80 0.0443 −1.04 0.1561 −0.28 0.3913 0.48 0.6815 1.24 0.8846 2.00 0.9696 2.76 0.9936−3.31 0.0019 −2.55 0.0100 −1.79 0.0451 −1.03 0.1583 −0.27 0.3951 0.49 0.6850 1.25 0.8863 2.01 0.9702 2.77 0.9937−3.30 0.0020 −2.54 0.0103 −1.78 0.0460 −1.02 0.1606 −0.26 0.3989 0.50 0.6884 1.26 0.8881 2.02 0.9707 2.78 0.9938−3.29 0.0020 −2.53 0.0105 −1.77 0.0468 −1.01 0.1629 −0.25 0.4027 0.51 0.6919 1.27 0.8899 2.03 0.9713 2.79 0.9940−3.28 0.0021 −2.52 0.0107 −1.76 0.0477 −1.00 0.1653 −0.24 0.4065 0.52 0.6953 1.28 0.8916 2.04 0.9718 2.80 0.9941−3.27 0.0021 −2.51 0.0109 −1.75 0.0486 −0.99 0.1676 −0.23 0.4103 0.53 0.6987 1.29 0.8933 2.05 0.9724 2.81 0.9942−3.26 0.0022 −2.50 0.0112 −1.74 0.0495 −0.98 0.1700 −0.22 0.4142 0.54 0.7021 1.30 0.8950 2.06 0.9729 2.82 0.9943−3.25 0.0022 −2.49 0.0114 −1.73 0.0504 −0.97 0.1725 −0.21 0.4180 0.55 0.7055 1.31 0.8967 2.07 0.9734 2.83 0.9945−3.24 0.0023 −2.48 0.0116 −1.72 0.0513 −0.96 0.1749 −0.20 0.4219 0.56 0.7088 1.32 0.8983 2.08 0.9740 2.84 0.9946−3.23 0.0023 −2.47 0.0119 −1.71 0.0522 −0.95 0.1773 −0.19 0.4257 0.57 0.7121 1.33 0.8999 2.09 0.9745 2.85 0.9947−3.22 0.0024 −2.46 0.0121 −1.70 0.0532 −0.94 0.1798 −0.18 0.4296 0.58 0.7154 1.34 0.9015 2.10 0.9750 2.86 0.9948−3.21 0.0024 −2.45 0.0124 −1.69 0.0541 −0.93 0.1823 −0.17 0.4335 0.59 0.7187 1.35 0.9031 2.11 0.9754 2.87 0.9949−3.20 0.0025 −2.44 0.0126 −1.68 0.0551 −0.92 0.1849 −0.16 0.4373 0.60 0.7220 1.36 0.9047 2.12 0.9759 2.88 0.9950−3.19 0.0025 −2.43 0.0129 −1.67 0.0561 −0.91 0.1874 −0.15 0.4412 0.61 0.7253 1.37 0.9062 2.13 0.9764 2.89 0.9951−3.18 0.0026 −2.42 0.0132 −1.66 0.0571 −0.90 0.1900 −0.14 0.4451 0.62 0.7285 1.38 0.9078 2.14 0.9768 2.90 0.9952−3.17 0.0027 −2.41 0.0134 −1.65 0.0581 −0.89 0.1926 −0.13 0.4490 0.63 0.7317 1.39 0.9093 2.15 0.9773 2.91 0.9953−3.16 0.0027 −2.40 0.0137 −1.64 0.0592 −0.88 0.1952 −0.12 0.4529 0.64 0.7349 1.40 0.9107 2.16 0.9777 2.92 0.9954−3.15 0.0028 −2.39 0.0140 −1.63 0.0602 −0.87 0.1979 −0.11 0.4568 0.65 0.7380 1.41 0.9122 2.17 0.9782 2.93 0.9955−3.14 0.0028 −2.38 0.0143 −1.62 0.0613 −0.86 0.2005 −0.10 0.4607 0.66 0.7412 1.42 0.9137 2.18 0.9786 2.94 0.9956−3.13 0.0029 −2.37 0.0146 −1.61 0.0624 −0.85 0.2032 −0.09 0.4646 0.67 0.7443 1.43 0.9151 2.19 0.9790 2.95 0.9957−3.12 0.0030 −2.36 0.0149 −1.60 0.0635 −0.84 0.2060 −0.08 0.4686 0.68 0.7474 1.44 0.9165 2.20 0.9794 2.96 0.9958−3.11 0.0030 −2.35 0.0152 −1.59 0.0646 −0.83 0.2087 −0.07 0.4725 0.69 0.7505 1.45 0.9179 2.21 0.9799 2.97 0.9959−3.10 0.0031 −2.34 0.0155 −1.58 0.0658 −0.82 0.2115 −0.06 0.4764 0.70 0.7536 1.46 0.9192 2.22 0.9803 2.98 0.9960−3.09 0.0032 −2.33 0.0158 −1.57 0.0669 −0.81 0.2143 −0.05 0.4803 0.71 0.7566 1.47 0.9206 2.23 0.9806 2.99 0.9961−3.08 0.0032 −2.32 0.0161 −1.56 0.0681 −0.80 0.2171 −0.04 0.4843 0.72 0.7596 1.48 0.9219 2.24 0.9810 3.00 0.9962−3.07 0.0033 −2.31 0.0165 −1.55 0.0693 −0.79 0.2199 −0.03 0.4882 0.73 0.7626 1.49 0.9232 2.25 0.9814 3.01 0.9962−3.06 0.0034 −2.30 0.0168 −1.54 0.0705 −0.78 0.2228 −0.02 0.4921 0.74 0.7656 1.50 0.9245 2.26 0.9818 3.02 0.9963−3.05 0.0034 −2.29 0.0172 −1.53 0.0717 −0.77 0.2256 −0.01 0.4961 0.75 0.7685 1.51 0.9258 2.27 0.9821 3.03 0.9964−3.04 0.0035 −2.28 0.0175 −1.52 0.0729 −0.76 0.2285 0.00 0.5000 0.76 0.7715 1.52 0.9271 2.28 0.9825 3.04 0.9965−3.03 0.0036 −2.27 0.0179 −1.51 0.0742 −0.75 0.2315 0.01 0.5039 0.77 0.7744 1.53 0.9283 2.29 0.9828 3.05 0.9966−3.02 0.0037 −2.26 0.0182 −1.50 0.0755 −0.74 0.2344 0.02 0.5079 0.78 0.7772 1.54 0.9295 2.30 0.9832 3.06 0.9966−3.01 0.0038 −2.25 0.0186 −1.49 0.0768 −0.73 0.2374 0.03 0.5118 0.79 0.7801 1.55 0.9307 2.31 0.9835 3.07 0.9967−3.00 0.0038 −2.24 0.0190 −1.48 0.0781 −0.72 0.2404 0.04 0.5157 0.80 0.7829 1.56 0.9319 2.32 0.9839 3.08 0.9968−2.99 0.0039 −2.23 0.0194 −1.47 0.0794 −0.71 0.2434 0.05 0.5197 0.81 0.7857 1.57 0.9331 2.33 0.9842 3.09 0.9968−2.98 0.0040 −2.22 0.0197 −1.46 0.0808 −0.70 0.2464 0.06 0.5236 0.82 0.7885 1.58 0.9342 2.34 0.9845 3.10 0.9969−2.97 0.0041 −2.21 0.0201 −1.45 0.0821 −0.69 0.2495 0.07 0.5275 0.83 0.7913 1.59 0.9354 2.35 0.9848 3.11 0.9970−2.96 0.0042 −2.20 0.0206 −1.44 0.0835 −0.68 0.2526 0.08 0.5314 0.84 0.7940 1.60 0.9365 2.36 0.9851 3.12 0.9970−2.95 0.0043 −2.19 0.0210 −1.43 0.0849 −0.67 0.2557 0.09 0.5354 0.85 0.7968 1.61 0.9376 2.37 0.9854 3.13 0.9971−2.94 0.0044 −2.18 0.0214 −1.42 0.0863 −0.66 0.2588 0.10 0.5393 0.86 0.7995 1.62 0.9387 2.38 0.9857 3.14 0.9972−2.93 0.0045 −2.17 0.0218 −1.41 0.0878 −0.65 0.2620 0.11 0.5432 0.87 0.8021 1.63 0.9398 2.39 0.9860 3.15 0.9972−2.92 0.0046 −2.16 0.0223 −1.40 0.0893 −0.64 0.2651 0.12 0.5471 0.88 0.8048 1.64 0.9408 2.40 0.9863 3.16 0.9973−2.91 0.0047 −2.15 0.0227 −1.39 0.0907 −0.63 0.2683 0.13 0.5510 0.89 0.8074 1.65 0.9419 2.41 0.9866 3.17 0.9973−2.90 0.0048 −2.14 0.0232 −1.38 0.0922 −0.62 0.2715 0.14 0.5549 0.90 0.8100 1.66 0.9429 2.42 0.9868 3.18 0.9974−2.89 0.0049 −2.13 0.0236 −1.37 0.0938 −0.61 0.2747 0.15 0.5588 0.91 0.8126 1.67 0.9439 2.43 0.9871 3.19 0.9975−2.88 0.0050 −2.12 0.0241 −1.36 0.0953 −0.60 0.2780 0.16 0.5627 0.92 0.8151 1.68 0.9449 2.44 0.9874 3.20 0.9975−2.87 0.0051 −2.11 0.0246 −1.35 0.0969 −0.59 0.2813 0.17 0.5665 0.93 0.8177 1.69 0.9459 2.45 0.9876 3.21 0.9976−2.86 0.0052 −2.10 0.0250 −1.34 0.0985 −0.58 0.2846 0.18 0.5704 0.94 0.8202 1.70 0.9468 2.46 0.9879 3.22 0.9976−2.85 0.0053 −2.09 0.0255 −1.33 0.1001 −0.57 0.2879 0.19 0.5743 0.95 0.8227 1.71 0.9478 2.47 0.9881 3.23 0.9977−2.84 0.0054 −2.08 0.0260 −1.32 0.1017 −0.56 0.2912 0.20 0.5781 0.96 0.8251 1.72 0.9487 2.48 0.9884 3.24 0.9977−2.83 0.0055 −2.07 0.0266 −1.31 0.1033 −0.55 0.2945 0.21 0.5820 0.97 0.8275 1.73 0.9496 2.49 0.9886 3.25 0.9978−2.82 0.0057 −2.06 0.0271 −1.30 0.1050 −0.54 0.2979 0.22 0.5858 0.98 0.8300 1.74 0.9505 2.50 0.9888 3.26 0.9978−2.81 0.0058 −2.05 0.0276 −1.29 0.1067 −0.53 0.3013 0.23 0.5897 0.99 0.8324 1.75 0.9514 2.51 0.9891 3.27 0.9979−2.80 0.0059 −2.04 0.0282 −1.28 0.1084 −0.52 0.3047 0.24 0.5935 1.00 0.8347 1.76 0.9523 2.52 0.9893 3.28 0.9979−2.79 0.0060 −2.03 0.0287 −1.27 0.1101 −0.51 0.3081 0.25 0.5973 1.01 0.8371 1.77 0.9532 2.53 0.9895 3.29 0.9980−2.78 0.0062 −2.02 0.0293 −1.26 0.1119 −0.50 0.3116 0.26 0.6011 1.02 0.8394 1.78 0.9540 2.54 0.9897 3.30 0.9980−2.77 0.0063 −2.01 0.0298 −1.25 0.1137 −0.49 0.3150 0.27 0.6049 1.03 0.8417 1.79 0.9549 2.55 0.9900 3.31 0.9981−2.76 0.0064 −2.00 0.0304 −1.24 0.1154 −0.48 0.3185 0.28 0.6087 1.04 0.8439 1.80 0.9557 2.56 0.9902 3.32 0.9981−2.75 0.0066 −1.99 0.0310 −1.23 0.1173 −0.47 0.3220 0.29 0.6124 1.05 0.8462 1.81 0.9565 2.57 0.9904 3.33 0.9981−2.74 0.0067 −1.98 0.0316 −1.22 0.1191 −0.46 0.3255 0.30 0.6162 1.06 0.8484 1.82 0.9573 2.58 0.9906 3.34 0.9982−2.73 0.0069 −1.97 0.0322 −1.21 0.1210 −0.45 0.3290 0.31 0.6199 1.07 0.8506 1.83 0.9581 2.59 0.9908 3.35 0.9982−2.72 0.0070 −1.96 0.0328 −1.20 0.1228 −0.44 0.3326 0.32 0.6237 1.08 0.8528 1.84 0.9588 2.60 0.9910 3.36 0.9983−2.71 0.0072 −1.95 0.0335 −1.19 0.1248 −0.43 0.3361 0.33 0.6274 1.09 0.8550 1.85 0.9596 2.61 0.9911 3.37 0.9983−2.70 0.0073 −1.94 0.0341 −1.18 0.1267 −0.42 0.3397 0.34 0.6311 1.10 0.8571 1.86 0.9603 2.62 0.9913 3.38 0.9983−2.69 0.0075 −1.93 0.0348 −1.17 0.1286 −0.41 0.3433 0.35 0.6348 1.11 0.8592 1.87 0.9611 2.63 0.9915 3.39 0.9984−2.68 0.0076 −1.92 0.0354 −1.16 0.1306 −0.40 0.3469 0.36 0.6385 1.12 0.8613 1.88 0.9618 2.64 0.9917 3.40 0.9984−2.67 0.0078 −1.91 0.0361 −1.15 0.1326 −0.39 0.3506 0.37 0.6421 1.13 0.8633 1.89 0.9625 2.65 0.9919 3.41 0.9984−2.66 0.0080 −1.90 0.0368 −1.14 0.1346 −0.38 0.3542 0.38 0.6458 1.14 0.8654 1.90 0.9632 2.66 0.9920 3.42 0.9985−2.65 0.0081 −1.89 0.0375 −1.13 0.1367 −0.37 0.3579 0.39 0.6494 1.15 0.8674 1.91 0.9639 2.67 0.9922 3.43 0.9985

Area Under t-distribution to the Left of t =x− µs/√n

19 degree(s) of freedom−3.40 0.0015 −2.64 0.0081 −1.88 0.0378 −1.12 0.1383 −0.36 0.3614 0.40 0.6532 1.16 0.8698 1.92 0.9650 2.68 0.9926−3.39 0.0015 −2.63 0.0082 −1.87 0.0385 −1.11 0.1404 −0.35 0.3651 0.41 0.6568 1.17 0.8718 1.93 0.9657 2.69 0.9928−3.38 0.0016 −2.62 0.0084 −1.86 0.0392 −1.10 0.1425 −0.34 0.3688 0.42 0.6604 1.18 0.8737 1.94 0.9663 2.70 0.9929−3.37 0.0016 −2.61 0.0086 −1.85 0.0400 −1.09 0.1447 −0.33 0.3725 0.43 0.6640 1.19 0.8756 1.95 0.9670 2.71 0.9931−3.36 0.0016 −2.60 0.0088 −1.84 0.0407 −1.08 0.1468 −0.32 0.3762 0.44 0.6675 1.20 0.8776 1.96 0.9676 2.72 0.9932−3.35 0.0017 −2.59 0.0090 −1.83 0.0415 −1.07 0.1490 −0.31 0.3800 0.45 0.6711 1.21 0.8794 1.97 0.9682 2.73 0.9934−3.34 0.0017 −2.58 0.0092 −1.82 0.0423 −1.06 0.1512 −0.30 0.3837 0.46 0.6746 1.22 0.8813 1.98 0.9688 2.74 0.9935−3.33 0.0018 −2.57 0.0094 −1.81 0.0431 −1.05 0.1534 −0.29 0.3875 0.47 0.6781 1.23 0.8831 1.99 0.9694 2.75 0.9936−3.32 0.0018 −2.56 0.0096 −1.80 0.0439 −1.04 0.1557 −0.28 0.3913 0.48 0.6816 1.24 0.8850 2.00 0.9700 2.76 0.9938−3.31 0.0018 −2.55 0.0098 −1.79 0.0447 −1.03 0.1580 −0.27 0.3950 0.49 0.6851 1.25 0.8868 2.01 0.9706 2.77 0.9939−3.30 0.0019 −2.54 0.0100 −1.78 0.0455 −1.02 0.1603 −0.26 0.3988 0.50 0.6886 1.26 0.8885 2.02 0.9711 2.78 0.9940−3.29 0.0019 −2.53 0.0102 −1.77 0.0464 −1.01 0.1626 −0.25 0.4026 0.51 0.6920 1.27 0.8903 2.03 0.9717 2.79 0.9942−3.28 0.0020 −2.52 0.0104 −1.76 0.0472 −1.00 0.1649 −0.24 0.4065 0.52 0.6955 1.28 0.8920 2.04 0.9723 2.80 0.9943−3.27 0.0020 −2.51 0.0106 −1.75 0.0481 −0.99 0.1673 −0.23 0.4103 0.53 0.6989 1.29 0.8937 2.05 0.9728 2.81 0.9944−3.26 0.0021 −2.50 0.0109 −1.74 0.0490 −0.98 0.1697 −0.22 0.4141 0.54 0.7023 1.30 0.8954 2.06 0.9733 2.82 0.9945−3.25 0.0021 −2.49 0.0111 −1.73 0.0499 −0.97 0.1721 −0.21 0.4180 0.55 0.7056 1.31 0.8971 2.07 0.9738 2.83 0.9946−3.24 0.0022 −2.48 0.0113 −1.72 0.0508 −0.96 0.1746 −0.20 0.4218 0.56 0.7090 1.32 0.8987 2.08 0.9743 2.84 0.9948−3.23 0.0022 −2.47 0.0116 −1.71 0.0518 −0.95 0.1770 −0.19 0.4257 0.57 0.7123 1.33 0.9004 2.09 0.9749 2.85 0.9949−3.22 0.0023 −2.46 0.0118 −1.70 0.0527 −0.94 0.1795 −0.18 0.4295 0.58 0.7156 1.34 0.9020 2.10 0.9753 2.86 0.9950−3.21 0.0023 −2.45 0.0121 −1.69 0.0537 −0.93 0.1820 −0.17 0.4334 0.59 0.7189 1.35 0.9036 2.11 0.9758 2.87 0.9951−3.20 0.0024 −2.44 0.0123 −1.68 0.0547 −0.92 0.1846 −0.16 0.4373 0.60 0.7222 1.36 0.9051 2.12 0.9763 2.88 0.9952−3.19 0.0024 −2.43 0.0126 −1.67 0.0557 −0.91 0.1871 −0.15 0.4412 0.61 0.7255 1.37 0.9067 2.13 0.9768 2.89 0.9953−3.18 0.0025 −2.42 0.0129 −1.66 0.0567 −0.90 0.1897 −0.14 0.4451 0.62 0.7287 1.38 0.9082 2.14 0.9772 2.90 0.9954−3.17 0.0025 −2.41 0.0131 −1.65 0.0577 −0.89 0.1923 −0.13 0.4490 0.63 0.7319 1.39 0.9097 2.15 0.9777 2.91 0.9955−3.16 0.0026 −2.40 0.0134 −1.64 0.0587 −0.88 0.1949 −0.12 0.4529 0.64 0.7351 1.40 0.9112 2.16 0.9781 2.92 0.9956−3.15 0.0026 −2.39 0.0137 −1.63 0.0598 −0.87 0.1976 −0.11 0.4568 0.65 0.7383 1.41 0.9126 2.17 0.9786 2.93 0.9957−3.14 0.0027 −2.38 0.0140 −1.62 0.0609 −0.86 0.2003 −0.10 0.4607 0.66 0.7414 1.42 0.9141 2.18 0.9790 2.94 0.9958−3.13 0.0028 −2.37 0.0143 −1.61 0.0619 −0.85 0.2030 −0.09 0.4646 0.67 0.7445 1.43 0.9155 2.19 0.9794 2.95 0.9959−3.12 0.0028 −2.36 0.0146 −1.60 0.0630 −0.84 0.2057 −0.08 0.4685 0.68 0.7476 1.44 0.9169 2.20 0.9798 2.96 0.9960−3.11 0.0029 −2.35 0.0149 −1.59 0.0642 −0.83 0.2084 −0.07 0.4725 0.69 0.7507 1.45 0.9183 2.21 0.9802 2.97 0.9961−3.10 0.0029 −2.34 0.0152 −1.58 0.0653 −0.82 0.2112 −0.06 0.4764 0.70 0.7538 1.46 0.9197 2.22 0.9806 2.98 0.9962−3.09 0.0030 −2.33 0.0155 −1.57 0.0665 −0.81 0.2140 −0.05 0.4803 0.71 0.7568 1.47 0.9210 2.23 0.9810 2.99 0.9962−3.08 0.0031 −2.32 0.0158 −1.56 0.0676 −0.80 0.2168 −0.04 0.4843 0.72 0.7599 1.48 0.9224 2.24 0.9814 3.00 0.9963−3.07 0.0032 −2.31 0.0161 −1.55 0.0688 −0.79 0.2196 −0.03 0.4882 0.73 0.7629 1.49 0.9237 2.25 0.9818 3.01 0.9964−3.06 0.0032 −2.30 0.0165 −1.54 0.0700 −0.78 0.2225 −0.02 0.4921 0.74 0.7658 1.50 0.9250 2.26 0.9821 3.02 0.9965−3.05 0.0033 −2.29 0.0168 −1.53 0.0712 −0.77 0.2254 −0.01 0.4961 0.75 0.7688 1.51 0.9263 2.27 0.9825 3.03 0.9966−3.04 0.0034 −2.28 0.0172 −1.52 0.0725 −0.76 0.2283 0.00 0.5000 0.76 0.7717 1.52 0.9275 2.28 0.9828 3.04 0.9966−3.03 0.0034 −2.27 0.0175 −1.51 0.0737 −0.75 0.2312 0.01 0.5039 0.77 0.7746 1.53 0.9288 2.29 0.9832 3.05 0.9967−3.02 0.0035 −2.26 0.0179 −1.50 0.0750 −0.74 0.2342 0.02 0.5079 0.78 0.7775 1.54 0.9300 2.30 0.9835 3.06 0.9968−3.01 0.0036 −2.25 0.0182 −1.49 0.0763 −0.73 0.2371 0.03 0.5118 0.79 0.7804 1.55 0.9312 2.31 0.9839 3.07 0.9968−3.00 0.0037 −2.24 0.0186 −1.48 0.0776 −0.72 0.2401 0.04 0.5157 0.80 0.7832 1.56 0.9324 2.32 0.9842 3.08 0.9969−2.99 0.0038 −2.23 0.0190 −1.47 0.0790 −0.71 0.2432 0.05 0.5197 0.81 0.7860 1.57 0.9335 2.33 0.9845 3.09 0.9970−2.98 0.0038 −2.22 0.0194 −1.46 0.0803 −0.70 0.2462 0.06 0.5236 0.82 0.7888 1.58 0.9347 2.34 0.9848 3.10 0.9971−2.97 0.0039 −2.21 0.0198 −1.45 0.0817 −0.69 0.2493 0.07 0.5275 0.83 0.7916 1.59 0.9358 2.35 0.9851 3.11 0.9971−2.96 0.0040 −2.20 0.0202 −1.44 0.0831 −0.68 0.2524 0.08 0.5315 0.84 0.7943 1.60 0.9370 2.36 0.9854 3.12 0.9972−2.95 0.0041 −2.19 0.0206 −1.43 0.0845 −0.67 0.2555 0.09 0.5354 0.85 0.7970 1.61 0.9381 2.37 0.9857 3.13 0.9972−2.94 0.0042 −2.18 0.0210 −1.42 0.0859 −0.66 0.2586 0.10 0.5393 0.86 0.7997 1.62 0.9391 2.38 0.9860 3.14 0.9973−2.93 0.0043 −2.17 0.0214 −1.41 0.0874 −0.65 0.2617 0.11 0.5432 0.87 0.8024 1.63 0.9402 2.39 0.9863 3.15 0.9974−2.92 0.0044 −2.16 0.0219 −1.40 0.0888 −0.64 0.2649 0.12 0.5471 0.88 0.8051 1.64 0.9413 2.40 0.9866 3.16 0.9974−2.91 0.0045 −2.15 0.0223 −1.39 0.0903 −0.63 0.2681 0.13 0.5510 0.89 0.8077 1.65 0.9423 2.41 0.9869 3.17 0.9975−2.90 0.0046 −2.14 0.0228 −1.38 0.0918 −0.62 0.2713 0.14 0.5549 0.90 0.8103 1.66 0.9433 2.42 0.9871 3.18 0.9975−2.89 0.0047 −2.13 0.0232 −1.37 0.0933 −0.61 0.2745 0.15 0.5588 0.91 0.8129 1.67 0.9443 2.43 0.9874 3.19 0.9976−2.88 0.0048 −2.12 0.0237 −1.36 0.0949 −0.60 0.2778 0.16 0.5627 0.92 0.8154 1.68 0.9453 2.44 0.9877 3.20 0.9976−2.87 0.0049 −2.11 0.0242 −1.35 0.0964 −0.59 0.2811 0.17 0.5666 0.93 0.8180 1.69 0.9463 2.45 0.9879 3.21 0.9977−2.86 0.0050 −2.10 0.0247 −1.34 0.0980 −0.58 0.2844 0.18 0.5705 0.94 0.8205 1.70 0.9473 2.46 0.9882 3.22 0.9977−2.85 0.0051 −2.09 0.0251 −1.33 0.0996 −0.57 0.2877 0.19 0.5743 0.95 0.8230 1.71 0.9482 2.47 0.9884 3.23 0.9978−2.84 0.0052 −2.08 0.0257 −1.32 0.1013 −0.56 0.2910 0.20 0.5782 0.96 0.8254 1.72 0.9492 2.48 0.9887 3.24 0.9978−2.83 0.0054 −2.07 0.0262 −1.31 0.1029 −0.55 0.2944 0.21 0.5820 0.97 0.8279 1.73 0.9501 2.49 0.9889 3.25 0.9979−2.82 0.0055 −2.06 0.0267 −1.30 0.1046 −0.54 0.2977 0.22 0.5859 0.98 0.8303 1.74 0.9510 2.50 0.9891 3.26 0.9979−2.81 0.0056 −2.05 0.0272 −1.29 0.1063 −0.53 0.3011 0.23 0.5897 0.99 0.8327 1.75 0.9519 2.51 0.9894 3.27 0.9980−2.80 0.0057 −2.04 0.0277 −1.28 0.1080 −0.52 0.3045 0.24 0.5935 1.00 0.8351 1.76 0.9528 2.52 0.9896 3.28 0.9980−2.79 0.0058 −2.03 0.0283 −1.27 0.1097 −0.51 0.3080 0.25 0.5974 1.01 0.8374 1.77 0.9536 2.53 0.9898 3.29 0.9981−2.78 0.0060 −2.02 0.0289 −1.26 0.1115 −0.50 0.3114 0.26 0.6012 1.02 0.8397 1.78 0.9545 2.54 0.9900 3.30 0.9981−2.77 0.0061 −2.01 0.0294 −1.25 0.1132 −0.49 0.3149 0.27 0.6050 1.03 0.8420 1.79 0.9553 2.55 0.9902 3.31 0.9982−2.76 0.0062 −2.00 0.0300 −1.24 0.1150 −0.48 0.3184 0.28 0.6087 1.04 0.8443 1.80 0.9561 2.56 0.9904 3.32 0.9982−2.75 0.0064 −1.99 0.0306 −1.23 0.1169 −0.47 0.3219 0.29 0.6125 1.05 0.8466 1.81 0.9569 2.57 0.9906 3.33 0.9982−2.74 0.0065 −1.98 0.0312 −1.22 0.1187 −0.46 0.3254 0.30 0.6163 1.06 0.8488 1.82 0.9577 2.58 0.9908 3.34 0.9983−2.73 0.0066 −1.97 0.0318 −1.21 0.1206 −0.45 0.3289 0.31 0.6200 1.07 0.8510 1.83 0.9585 2.59 0.9910 3.35 0.9983−2.72 0.0068 −1.96 0.0324 −1.20 0.1224 −0.44 0.3325 0.32 0.6238 1.08 0.8532 1.84 0.9593 2.60 0.9912 3.36 0.9984−2.71 0.0069 −1.95 0.0330 −1.19 0.1244 −0.43 0.3360 0.33 0.6275 1.09 0.8553 1.85 0.9600 2.61 0.9914 3.37 0.9984−2.70 0.0071 −1.94 0.0337 −1.18 0.1263 −0.42 0.3396 0.34 0.6312 1.10 0.8575 1.86 0.9608 2.62 0.9916 3.38 0.9984−2.69 0.0072 −1.93 0.0343 −1.17 0.1282 −0.41 0.3432 0.35 0.6349 1.11 0.8596 1.87 0.9615 2.63 0.9918 3.39 0.9985−2.68 0.0074 −1.92 0.0350 −1.16 0.1302 −0.40 0.3468 0.36 0.6386 1.12 0.8617 1.88 0.9622 2.64 0.9919 3.40 0.9985−2.67 0.0076 −1.91 0.0357 −1.15 0.1322 −0.39 0.3504 0.37 0.6423 1.13 0.8637 1.89 0.9629 2.65 0.9921 3.41 0.9985−2.66 0.0077 −1.90 0.0364 −1.14 0.1342 −0.38 0.3541 0.38 0.6459 1.14 0.8658 1.90 0.9636 2.66 0.9923 3.42 0.9986−2.65 0.0079 −1.89 0.0371 −1.13 0.1363 −0.37 0.3577 0.39 0.6496 1.15 0.8678 1.91 0.9643 2.67 0.9924 3.43 0.9986

Area Under t-distribution to the Left of t =x− µs/√n

20 degree(s) of freedom−3.40 0.0014 −2.64 0.0079 −1.88 0.0374 −1.12 0.1380 −0.36 0.3613 0.40 0.6533 1.16 0.8701 1.92 0.9654 2.68 0.9928−3.39 0.0015 −2.63 0.0080 −1.87 0.0381 −1.11 0.1401 −0.35 0.3650 0.41 0.6569 1.17 0.8721 1.93 0.9660 2.69 0.9930−3.38 0.0015 −2.62 0.0082 −1.86 0.0388 −1.10 0.1422 −0.34 0.3687 0.42 0.6605 1.18 0.8741 1.94 0.9667 2.70 0.9931−3.37 0.0015 −2.61 0.0084 −1.85 0.0396 −1.09 0.1443 −0.33 0.3724 0.43 0.6641 1.19 0.8760 1.95 0.9673 2.71 0.9933−3.36 0.0016 −2.60 0.0086 −1.84 0.0403 −1.08 0.1465 −0.32 0.3761 0.44 0.6677 1.20 0.8779 1.96 0.9680 2.72 0.9934−3.35 0.0016 −2.59 0.0088 −1.83 0.0411 −1.07 0.1487 −0.31 0.3799 0.45 0.6712 1.21 0.8798 1.97 0.9686 2.73 0.9935−3.34 0.0016 −2.58 0.0089 −1.82 0.0419 −1.06 0.1509 −0.30 0.3836 0.46 0.6748 1.22 0.8817 1.98 0.9692 2.74 0.9937−3.33 0.0017 −2.57 0.0091 −1.81 0.0427 −1.05 0.1531 −0.29 0.3874 0.47 0.6783 1.23 0.8835 1.99 0.9698 2.75 0.9938−3.32 0.0017 −2.56 0.0093 −1.80 0.0435 −1.04 0.1554 −0.28 0.3912 0.48 0.6818 1.24 0.8853 2.00 0.9704 2.76 0.9940−3.31 0.0017 −2.55 0.0095 −1.79 0.0443 −1.03 0.1577 −0.27 0.3950 0.49 0.6853 1.25 0.8871 2.01 0.9709 2.77 0.9941−3.30 0.0018 −2.54 0.0097 −1.78 0.0451 −1.02 0.1600 −0.26 0.3988 0.50 0.6887 1.26 0.8889 2.02 0.9715 2.78 0.9942−3.29 0.0018 −2.53 0.0100 −1.77 0.0460 −1.01 0.1623 −0.25 0.4026 0.51 0.6922 1.27 0.8907 2.03 0.9721 2.79 0.9943−3.28 0.0019 −2.52 0.0102 −1.76 0.0468 −1.00 0.1646 −0.24 0.4064 0.52 0.6956 1.28 0.8924 2.04 0.9726 2.80 0.9945−3.27 0.0019 −2.51 0.0104 −1.75 0.0477 −0.99 0.1670 −0.23 0.4102 0.53 0.6990 1.29 0.8941 2.05 0.9731 2.81 0.9946−3.26 0.0020 −2.50 0.0106 −1.74 0.0486 −0.98 0.1694 −0.22 0.4141 0.54 0.7024 1.30 0.8958 2.06 0.9737 2.82 0.9947−3.25 0.0020 −2.49 0.0108 −1.73 0.0495 −0.97 0.1718 −0.21 0.4179 0.55 0.7058 1.31 0.8975 2.07 0.9742 2.83 0.9948−3.24 0.0021 −2.48 0.0111 −1.72 0.0504 −0.96 0.1743 −0.20 0.4218 0.56 0.7092 1.32 0.8991 2.08 0.9747 2.84 0.9949−3.23 0.0021 −2.47 0.0113 −1.71 0.0514 −0.95 0.1767 −0.19 0.4256 0.57 0.7125 1.33 0.9008 2.09 0.9752 2.85 0.9951−3.22 0.0021 −2.46 0.0116 −1.70 0.0523 −0.94 0.1792 −0.18 0.4295 0.58 0.7158 1.34 0.9024 2.10 0.9757 2.86 0.9952−3.21 0.0022 −2.45 0.0118 −1.69 0.0533 −0.93 0.1817 −0.17 0.4334 0.59 0.7191 1.35 0.9040 2.11 0.9762 2.87 0.9953−3.20 0.0022 −2.44 0.0121 −1.68 0.0543 −0.92 0.1843 −0.16 0.4372 0.60 0.7224 1.36 0.9055 2.12 0.9766 2.88 0.9954−3.19 0.0023 −2.43 0.0123 −1.67 0.0552 −0.91 0.1868 −0.15 0.4411 0.61 0.7256 1.37 0.9071 2.13 0.9771 2.89 0.9955−3.18 0.0024 −2.42 0.0126 −1.66 0.0563 −0.90 0.1894 −0.14 0.4450 0.62 0.7289 1.38 0.9086 2.14 0.9776 2.90 0.9956−3.17 0.0024 −2.41 0.0129 −1.65 0.0573 −0.89 0.1920 −0.13 0.4489 0.63 0.7321 1.39 0.9101 2.15 0.9780 2.91 0.9957−3.16 0.0025 −2.40 0.0131 −1.64 0.0583 −0.88 0.1947 −0.12 0.4528 0.64 0.7353 1.40 0.9116 2.16 0.9785 2.92 0.9958−3.15 0.0025 −2.39 0.0134 −1.63 0.0594 −0.87 0.1973 −0.11 0.4568 0.65 0.7385 1.41 0.9130 2.17 0.9789 2.93 0.9959−3.14 0.0026 −2.38 0.0137 −1.62 0.0604 −0.86 0.2000 −0.10 0.4607 0.66 0.7416 1.42 0.9145 2.18 0.9793 2.94 0.9960−3.13 0.0026 −2.37 0.0140 −1.61 0.0615 −0.85 0.2027 −0.09 0.4646 0.67 0.7447 1.43 0.9159 2.19 0.9797 2.95 0.9960−3.12 0.0027 −2.36 0.0143 −1.60 0.0626 −0.84 0.2054 −0.08 0.4685 0.68 0.7478 1.44 0.9173 2.20 0.9801 2.96 0.9961−3.11 0.0028 −2.35 0.0146 −1.59 0.0638 −0.83 0.2082 −0.07 0.4724 0.69 0.7509 1.45 0.9187 2.21 0.9805 2.97 0.9962−3.10 0.0028 −2.34 0.0149 −1.58 0.0649 −0.82 0.2109 −0.06 0.4764 0.70 0.7540 1.46 0.9201 2.22 0.9809 2.98 0.9963−3.09 0.0029 −2.33 0.0152 −1.57 0.0661 −0.81 0.2137 −0.05 0.4803 0.71 0.7570 1.47 0.9214 2.23 0.9813 2.99 0.9964−3.08 0.0030 −2.32 0.0155 −1.56 0.0672 −0.80 0.2166 −0.04 0.4842 0.72 0.7601 1.48 0.9228 2.24 0.9817 3.00 0.9965−3.07 0.0030 −2.31 0.0158 −1.55 0.0684 −0.79 0.2194 −0.03 0.4882 0.73 0.7631 1.49 0.9241 2.25 0.9821 3.01 0.9965−3.06 0.0031 −2.30 0.0162 −1.54 0.0696 −0.78 0.2223 −0.02 0.4921 0.74 0.7661 1.50 0.9254 2.26 0.9824 3.02 0.9966−3.05 0.0032 −2.29 0.0165 −1.53 0.0708 −0.77 0.2251 −0.01 0.4961 0.75 0.7690 1.51 0.9267 2.27 0.9828 3.03 0.9967−3.04 0.0032 −2.28 0.0169 −1.52 0.0721 −0.76 0.2281 0.00 0.5000 0.76 0.7719 1.52 0.9279 2.28 0.9831 3.04 0.9968−3.03 0.0033 −2.27 0.0172 −1.51 0.0733 −0.75 0.2310 0.01 0.5039 0.77 0.7749 1.53 0.9292 2.29 0.9835 3.05 0.9968−3.02 0.0034 −2.26 0.0176 −1.50 0.0746 −0.74 0.2339 0.02 0.5079 0.78 0.7777 1.54 0.9304 2.30 0.9838 3.06 0.9969−3.01 0.0035 −2.25 0.0179 −1.49 0.0759 −0.73 0.2369 0.03 0.5118 0.79 0.7806 1.55 0.9316 2.31 0.9842 3.07 0.9970−3.00 0.0035 −2.24 0.0183 −1.48 0.0772 −0.72 0.2399 0.04 0.5158 0.80 0.7834 1.56 0.9328 2.32 0.9845 3.08 0.9970−2.99 0.0036 −2.23 0.0187 −1.47 0.0786 −0.71 0.2430 0.05 0.5197 0.81 0.7863 1.57 0.9339 2.33 0.9848 3.09 0.9971−2.98 0.0037 −2.22 0.0191 −1.46 0.0799 −0.70 0.2460 0.06 0.5236 0.82 0.7891 1.58 0.9351 2.34 0.9851 3.10 0.9972−2.97 0.0038 −2.21 0.0195 −1.45 0.0813 −0.69 0.2491 0.07 0.5276 0.83 0.7918 1.59 0.9362 2.35 0.9854 3.11 0.9972−2.96 0.0039 −2.20 0.0199 −1.44 0.0827 −0.68 0.2522 0.08 0.5315 0.84 0.7946 1.60 0.9374 2.36 0.9857 3.12 0.9973−2.95 0.0040 −2.19 0.0203 −1.43 0.0841 −0.67 0.2553 0.09 0.5354 0.85 0.7973 1.61 0.9385 2.37 0.9860 3.13 0.9974−2.94 0.0040 −2.18 0.0207 −1.42 0.0855 −0.66 0.2584 0.10 0.5393 0.86 0.8000 1.62 0.9396 2.38 0.9863 3.14 0.9974−2.93 0.0041 −2.17 0.0211 −1.41 0.0870 −0.65 0.2615 0.11 0.5432 0.87 0.8027 1.63 0.9406 2.39 0.9866 3.15 0.9975−2.92 0.0042 −2.16 0.0215 −1.40 0.0884 −0.64 0.2647 0.12 0.5472 0.88 0.8053 1.64 0.9417 2.40 0.9869 3.16 0.9975−2.91 0.0043 −2.15 0.0220 −1.39 0.0899 −0.63 0.2679 0.13 0.5511 0.89 0.8080 1.65 0.9427 2.41 0.9871 3.17 0.9976−2.90 0.0044 −2.14 0.0224 −1.38 0.0914 −0.62 0.2711 0.14 0.5550 0.90 0.8106 1.66 0.9437 2.42 0.9874 3.18 0.9976−2.89 0.0045 −2.13 0.0229 −1.37 0.0929 −0.61 0.2744 0.15 0.5589 0.91 0.8132 1.67 0.9448 2.43 0.9877 3.19 0.9977−2.88 0.0046 −2.12 0.0234 −1.36 0.0945 −0.60 0.2776 0.16 0.5628 0.92 0.8157 1.68 0.9457 2.44 0.9879 3.20 0.9978−2.87 0.0047 −2.11 0.0238 −1.35 0.0960 −0.59 0.2809 0.17 0.5666 0.93 0.8183 1.69 0.9467 2.45 0.9882 3.21 0.9978−2.86 0.0048 −2.10 0.0243 −1.34 0.0976 −0.58 0.2842 0.18 0.5705 0.94 0.8208 1.70 0.9477 2.46 0.9884 3.22 0.9979−2.85 0.0049 −2.09 0.0248 −1.33 0.0992 −0.57 0.2875 0.19 0.5744 0.95 0.8233 1.71 0.9486 2.47 0.9887 3.23 0.9979−2.84 0.0051 −2.08 0.0253 −1.32 0.1009 −0.56 0.2908 0.20 0.5782 0.96 0.8257 1.72 0.9496 2.48 0.9889 3.24 0.9979−2.83 0.0052 −2.07 0.0258 −1.31 0.1025 −0.55 0.2942 0.21 0.5821 0.97 0.8282 1.73 0.9505 2.49 0.9892 3.25 0.9980−2.82 0.0053 −2.06 0.0263 −1.30 0.1042 −0.54 0.2976 0.22 0.5859 0.98 0.8306 1.74 0.9514 2.50 0.9894 3.26 0.9980−2.81 0.0054 −2.05 0.0269 −1.29 0.1059 −0.53 0.3010 0.23 0.5898 0.99 0.8330 1.75 0.9523 2.51 0.9896 3.27 0.9981−2.80 0.0055 −2.04 0.0274 −1.28 0.1076 −0.52 0.3044 0.24 0.5936 1.00 0.8354 1.76 0.9532 2.52 0.9898 3.28 0.9981−2.79 0.0057 −2.03 0.0279 −1.27 0.1093 −0.51 0.3078 0.25 0.5974 1.01 0.8377 1.77 0.9540 2.53 0.9900 3.29 0.9982−2.78 0.0058 −2.02 0.0285 −1.26 0.1111 −0.50 0.3113 0.26 0.6012 1.02 0.8400 1.78 0.9549 2.54 0.9903 3.30 0.9982−2.77 0.0059 −2.01 0.0291 −1.25 0.1129 −0.49 0.3147 0.27 0.6050 1.03 0.8423 1.79 0.9557 2.55 0.9905 3.31 0.9983−2.76 0.0060 −2.00 0.0296 −1.24 0.1147 −0.48 0.3182 0.28 0.6088 1.04 0.8446 1.80 0.9565 2.56 0.9907 3.32 0.9983−2.75 0.0062 −1.99 0.0302 −1.23 0.1165 −0.47 0.3217 0.29 0.6126 1.05 0.8469 1.81 0.9573 2.57 0.9909 3.33 0.9983−2.74 0.0063 −1.98 0.0308 −1.22 0.1183 −0.46 0.3252 0.30 0.6164 1.06 0.8491 1.82 0.9581 2.58 0.9911 3.34 0.9984−2.73 0.0065 −1.97 0.0314 −1.21 0.1202 −0.45 0.3288 0.31 0.6201 1.07 0.8513 1.83 0.9589 2.59 0.9912 3.35 0.9984−2.72 0.0066 −1.96 0.0320 −1.20 0.1221 −0.44 0.3323 0.32 0.6239 1.08 0.8535 1.84 0.9597 2.60 0.9914 3.36 0.9984−2.71 0.0067 −1.95 0.0327 −1.19 0.1240 −0.43 0.3359 0.33 0.6276 1.09 0.8557 1.85 0.9604 2.61 0.9916 3.37 0.9985−2.70 0.0069 −1.94 0.0333 −1.18 0.1259 −0.42 0.3395 0.34 0.6313 1.10 0.8578 1.86 0.9612 2.62 0.9918 3.38 0.9985−2.69 0.0070 −1.93 0.0340 −1.17 0.1279 −0.41 0.3431 0.35 0.6350 1.11 0.8599 1.87 0.9619 2.63 0.9920 3.39 0.9985−2.68 0.0072 −1.92 0.0346 −1.16 0.1299 −0.40 0.3467 0.36 0.6387 1.12 0.8620 1.88 0.9626 2.64 0.9921 3.40 0.9986−2.67 0.0074 −1.91 0.0353 −1.15 0.1319 −0.39 0.3503 0.37 0.6424 1.13 0.8641 1.89 0.9633 2.65 0.9923 3.41 0.9986−2.66 0.0075 −1.90 0.0360 −1.14 0.1339 −0.38 0.3540 0.38 0.6460 1.14 0.8661 1.90 0.9640 2.66 0.9925 3.42 0.9986−2.65 0.0077 −1.89 0.0367 −1.13 0.1359 −0.37 0.3576 0.39 0.6497 1.15 0.8681 1.91 0.9647 2.67 0.9926 3.43 0.9987

Area Under t-distribution to the Left of t =x− µs/√n

21 degree(s) of freedom−3.40 0.0013 −2.64 0.0077 −1.88 0.0370 −1.12 0.1377 −0.36 0.3612 0.40 0.6534 1.16 0.8705 1.92 0.9657 2.68 0.9930−3.39 0.0014 −2.63 0.0078 −1.87 0.0377 −1.11 0.1398 −0.35 0.3649 0.41 0.6570 1.17 0.8724 1.93 0.9664 2.69 0.9931−3.38 0.0014 −2.62 0.0080 −1.86 0.0385 −1.10 0.1419 −0.34 0.3686 0.42 0.6606 1.18 0.8744 1.94 0.9670 2.70 0.9933−3.37 0.0014 −2.61 0.0082 −1.85 0.0392 −1.09 0.1440 −0.33 0.3723 0.43 0.6642 1.19 0.8763 1.95 0.9677 2.71 0.9934−3.36 0.0015 −2.60 0.0084 −1.84 0.0400 −1.08 0.1462 −0.32 0.3761 0.44 0.6678 1.20 0.8782 1.96 0.9683 2.72 0.9936−3.35 0.0015 −2.59 0.0085 −1.83 0.0407 −1.07 0.1484 −0.31 0.3798 0.45 0.6713 1.21 0.8801 1.97 0.9689 2.73 0.9937−3.34 0.0016 −2.58 0.0087 −1.82 0.0415 −1.06 0.1506 −0.30 0.3836 0.46 0.6749 1.22 0.8820 1.98 0.9695 2.74 0.9939−3.33 0.0016 −2.57 0.0089 −1.81 0.0423 −1.05 0.1528 −0.29 0.3873 0.47 0.6784 1.23 0.8839 1.99 0.9701 2.75 0.9940−3.32 0.0016 −2.56 0.0091 −1.80 0.0431 −1.04 0.1551 −0.28 0.3911 0.48 0.6819 1.24 0.8857 2.00 0.9707 2.76 0.9941−3.31 0.0017 −2.55 0.0093 −1.79 0.0439 −1.03 0.1574 −0.27 0.3949 0.49 0.6854 1.25 0.8875 2.01 0.9713 2.77 0.9943−3.30 0.0017 −2.54 0.0095 −1.78 0.0448 −1.02 0.1597 −0.26 0.3987 0.50 0.6889 1.26 0.8893 2.02 0.9718 2.78 0.9944−3.29 0.0017 −2.53 0.0097 −1.77 0.0456 −1.01 0.1620 −0.25 0.4025 0.51 0.6923 1.27 0.8910 2.03 0.9724 2.79 0.9945−3.28 0.0018 −2.52 0.0099 −1.76 0.0465 −1.00 0.1643 −0.24 0.4063 0.52 0.6957 1.28 0.8927 2.04 0.9729 2.80 0.9946−3.27 0.0018 −2.51 0.0102 −1.75 0.0474 −0.99 0.1667 −0.23 0.4102 0.53 0.6992 1.29 0.8945 2.05 0.9735 2.81 0.9948−3.26 0.0019 −2.50 0.0104 −1.74 0.0482 −0.98 0.1691 −0.22 0.4140 0.54 0.7026 1.30 0.8962 2.06 0.9740 2.82 0.9949−3.25 0.0019 −2.49 0.0106 −1.73 0.0492 −0.97 0.1715 −0.21 0.4178 0.55 0.7059 1.31 0.8978 2.07 0.9745 2.83 0.9950−3.24 0.0020 −2.48 0.0108 −1.72 0.0501 −0.96 0.1740 −0.20 0.4217 0.56 0.7093 1.32 0.8995 2.08 0.9750 2.84 0.9951−3.23 0.0020 −2.47 0.0111 −1.71 0.0510 −0.95 0.1765 −0.19 0.4256 0.57 0.7126 1.33 0.9011 2.09 0.9755 2.85 0.9952−3.22 0.0021 −2.46 0.0113 −1.70 0.0519 −0.94 0.1790 −0.18 0.4294 0.58 0.7160 1.34 0.9027 2.10 0.9760 2.86 0.9953−3.21 0.0021 −2.45 0.0116 −1.69 0.0529 −0.93 0.1815 −0.17 0.4333 0.59 0.7193 1.35 0.9043 2.11 0.9765 2.87 0.9954−3.20 0.0022 −2.44 0.0118 −1.68 0.0539 −0.92 0.1840 −0.16 0.4372 0.60 0.7225 1.36 0.9059 2.12 0.9770 2.88 0.9955−3.19 0.0022 −2.43 0.0121 −1.67 0.0549 −0.91 0.1866 −0.15 0.4411 0.61 0.7258 1.37 0.9074 2.13 0.9774 2.89 0.9956−3.18 0.0023 −2.42 0.0123 −1.66 0.0559 −0.90 0.1892 −0.14 0.4450 0.62 0.7290 1.38 0.9089 2.14 0.9779 2.90 0.9957−3.17 0.0023 −2.41 0.0126 −1.65 0.0569 −0.89 0.1918 −0.13 0.4489 0.63 0.7323 1.39 0.9105 2.15 0.9783 2.91 0.9958−3.16 0.0024 −2.40 0.0129 −1.64 0.0580 −0.88 0.1944 −0.12 0.4528 0.64 0.7355 1.40 0.9119 2.16 0.9788 2.92 0.9959−3.15 0.0024 −2.39 0.0132 −1.63 0.0590 −0.87 0.1971 −0.11 0.4567 0.65 0.7386 1.41 0.9134 2.17 0.9792 2.93 0.9960−3.14 0.0025 −2.38 0.0134 −1.62 0.0601 −0.86 0.1998 −0.10 0.4606 0.66 0.7418 1.42 0.9149 2.18 0.9796 2.94 0.9961−3.13 0.0025 −2.37 0.0137 −1.61 0.0612 −0.85 0.2025 −0.09 0.4646 0.67 0.7449 1.43 0.9163 2.19 0.9800 2.95 0.9962−3.12 0.0026 −2.36 0.0140 −1.60 0.0623 −0.84 0.2052 −0.08 0.4685 0.68 0.7480 1.44 0.9177 2.20 0.9804 2.96 0.9963−3.11 0.0026 −2.35 0.0143 −1.59 0.0634 −0.83 0.2079 −0.07 0.4724 0.69 0.7511 1.45 0.9191 2.21 0.9808 2.97 0.9963−3.10 0.0027 −2.34 0.0146 −1.58 0.0645 −0.82 0.2107 −0.06 0.4764 0.70 0.7542 1.46 0.9205 2.22 0.9812 2.98 0.9964−3.09 0.0028 −2.33 0.0149 −1.57 0.0657 −0.81 0.2135 −0.05 0.4803 0.71 0.7572 1.47 0.9218 2.23 0.9816 2.99 0.9965−3.08 0.0028 −2.32 0.0152 −1.56 0.0669 −0.80 0.2163 −0.04 0.4842 0.72 0.7603 1.48 0.9231 2.24 0.9820 3.00 0.9966−3.07 0.0029 −2.31 0.0156 −1.55 0.0680 −0.79 0.2192 −0.03 0.4882 0.73 0.7633 1.49 0.9245 2.25 0.9824 3.01 0.9967−3.06 0.0030 −2.30 0.0159 −1.54 0.0692 −0.78 0.2220 −0.02 0.4921 0.74 0.7663 1.50 0.9258 2.26 0.9827 3.02 0.9967−3.05 0.0030 −2.29 0.0162 −1.53 0.0705 −0.77 0.2249 −0.01 0.4961 0.75 0.7692 1.51 0.9270 2.27 0.9831 3.03 0.9968−3.04 0.0031 −2.28 0.0166 −1.52 0.0717 −0.76 0.2279 0.00 0.5000 0.76 0.7721 1.52 0.9283 2.28 0.9834 3.04 0.9969−3.03 0.0032 −2.27 0.0169 −1.51 0.0730 −0.75 0.2308 0.01 0.5039 0.77 0.7751 1.53 0.9295 2.29 0.9838 3.05 0.9970−3.02 0.0033 −2.26 0.0173 −1.50 0.0742 −0.74 0.2337 0.02 0.5079 0.78 0.7780 1.54 0.9308 2.30 0.9841 3.06 0.9970−3.01 0.0033 −2.25 0.0176 −1.49 0.0755 −0.73 0.2367 0.03 0.5118 0.79 0.7808 1.55 0.9320 2.31 0.9844 3.07 0.9971−3.00 0.0034 −2.24 0.0180 −1.48 0.0769 −0.72 0.2397 0.04 0.5158 0.80 0.7837 1.56 0.9331 2.32 0.9848 3.08 0.9972−2.99 0.0035 −2.23 0.0184 −1.47 0.0782 −0.71 0.2428 0.05 0.5197 0.81 0.7865 1.57 0.9343 2.33 0.9851 3.09 0.9972−2.98 0.0036 −2.22 0.0188 −1.46 0.0795 −0.70 0.2458 0.06 0.5236 0.82 0.7893 1.58 0.9355 2.34 0.9854 3.10 0.9973−2.97 0.0037 −2.21 0.0192 −1.45 0.0809 −0.69 0.2489 0.07 0.5276 0.83 0.7921 1.59 0.9366 2.35 0.9857 3.11 0.9974−2.96 0.0037 −2.20 0.0196 −1.44 0.0823 −0.68 0.2520 0.08 0.5315 0.84 0.7948 1.60 0.9377 2.36 0.9860 3.12 0.9974−2.95 0.0038 −2.19 0.0200 −1.43 0.0837 −0.67 0.2551 0.09 0.5354 0.85 0.7975 1.61 0.9388 2.37 0.9863 3.13 0.9975−2.94 0.0039 −2.18 0.0204 −1.42 0.0851 −0.66 0.2582 0.10 0.5394 0.86 0.8002 1.62 0.9399 2.38 0.9866 3.14 0.9975−2.93 0.0040 −2.17 0.0208 −1.41 0.0866 −0.65 0.2614 0.11 0.5433 0.87 0.8029 1.63 0.9410 2.39 0.9868 3.15 0.9976−2.92 0.0041 −2.16 0.0212 −1.40 0.0881 −0.64 0.2645 0.12 0.5472 0.88 0.8056 1.64 0.9420 2.40 0.9871 3.16 0.9976−2.91 0.0042 −2.15 0.0217 −1.39 0.0895 −0.63 0.2677 0.13 0.5511 0.89 0.8082 1.65 0.9431 2.41 0.9874 3.17 0.9977−2.90 0.0043 −2.14 0.0221 −1.38 0.0911 −0.62 0.2710 0.14 0.5550 0.90 0.8108 1.66 0.9441 2.42 0.9877 3.18 0.9977−2.89 0.0044 −2.13 0.0226 −1.37 0.0926 −0.61 0.2742 0.15 0.5589 0.91 0.8134 1.67 0.9451 2.43 0.9879 3.19 0.9978−2.88 0.0045 −2.12 0.0230 −1.36 0.0941 −0.60 0.2775 0.16 0.5628 0.92 0.8160 1.68 0.9461 2.44 0.9882 3.20 0.9978−2.87 0.0046 −2.11 0.0235 −1.35 0.0957 −0.59 0.2807 0.17 0.5667 0.93 0.8185 1.69 0.9471 2.45 0.9884 3.21 0.9979−2.86 0.0047 −2.10 0.0240 −1.34 0.0973 −0.58 0.2840 0.18 0.5706 0.94 0.8210 1.70 0.9481 2.46 0.9887 3.22 0.9979−2.85 0.0048 −2.09 0.0245 −1.33 0.0989 −0.57 0.2874 0.19 0.5744 0.95 0.8235 1.71 0.9490 2.47 0.9889 3.23 0.9980−2.84 0.0049 −2.08 0.0250 −1.32 0.1005 −0.56 0.2907 0.20 0.5783 0.96 0.8260 1.72 0.9499 2.48 0.9892 3.24 0.9980−2.83 0.0050 −2.07 0.0255 −1.31 0.1022 −0.55 0.2941 0.21 0.5822 0.97 0.8285 1.73 0.9508 2.49 0.9894 3.25 0.9981−2.82 0.0051 −2.06 0.0260 −1.30 0.1038 −0.54 0.2974 0.22 0.5860 0.98 0.8309 1.74 0.9518 2.50 0.9896 3.26 0.9981−2.81 0.0052 −2.05 0.0265 −1.29 0.1055 −0.53 0.3008 0.23 0.5898 0.99 0.8333 1.75 0.9526 2.51 0.9898 3.27 0.9982−2.80 0.0054 −2.04 0.0271 −1.28 0.1073 −0.52 0.3043 0.24 0.5937 1.00 0.8357 1.76 0.9535 2.52 0.9901 3.28 0.9982−2.79 0.0055 −2.03 0.0276 −1.27 0.1090 −0.51 0.3077 0.25 0.5975 1.01 0.8380 1.77 0.9544 2.53 0.9903 3.29 0.9983−2.78 0.0056 −2.02 0.0282 −1.26 0.1107 −0.50 0.3111 0.26 0.6013 1.02 0.8403 1.78 0.9552 2.54 0.9905 3.30 0.9983−2.77 0.0057 −2.01 0.0287 −1.25 0.1125 −0.49 0.3146 0.27 0.6051 1.03 0.8426 1.79 0.9561 2.55 0.9907 3.31 0.9983−2.76 0.0059 −2.00 0.0293 −1.24 0.1143 −0.48 0.3181 0.28 0.6089 1.04 0.8449 1.80 0.9569 2.56 0.9909 3.32 0.9984−2.75 0.0060 −1.99 0.0299 −1.23 0.1161 −0.47 0.3216 0.29 0.6127 1.05 0.8472 1.81 0.9577 2.57 0.9911 3.33 0.9984−2.74 0.0061 −1.98 0.0305 −1.22 0.1180 −0.46 0.3251 0.30 0.6164 1.06 0.8494 1.82 0.9585 2.58 0.9913 3.34 0.9984−2.73 0.0063 −1.97 0.0311 −1.21 0.1199 −0.45 0.3287 0.31 0.6202 1.07 0.8516 1.83 0.9593 2.59 0.9915 3.35 0.9985−2.72 0.0064 −1.96 0.0317 −1.20 0.1218 −0.44 0.3322 0.32 0.6239 1.08 0.8538 1.84 0.9600 2.60 0.9916 3.36 0.9985−2.71 0.0066 −1.95 0.0323 −1.19 0.1237 −0.43 0.3358 0.33 0.6277 1.09 0.8560 1.85 0.9608 2.61 0.9918 3.37 0.9986−2.70 0.0067 −1.94 0.0330 −1.18 0.1256 −0.42 0.3394 0.34 0.6314 1.10 0.8581 1.86 0.9615 2.62 0.9920 3.38 0.9986−2.69 0.0069 −1.93 0.0336 −1.17 0.1276 −0.41 0.3430 0.35 0.6351 1.11 0.8602 1.87 0.9623 2.63 0.9922 3.39 0.9986−2.68 0.0070 −1.92 0.0343 −1.16 0.1295 −0.40 0.3466 0.36 0.6388 1.12 0.8623 1.88 0.9630 2.64 0.9923 3.40 0.9987−2.67 0.0072 −1.91 0.0349 −1.15 0.1315 −0.39 0.3502 0.37 0.6425 1.13 0.8644 1.89 0.9637 2.65 0.9925 3.41 0.9987−2.66 0.0073 −1.90 0.0356 −1.14 0.1336 −0.38 0.3539 0.38 0.6461 1.14 0.8664 1.90 0.9644 2.66 0.9927 3.42 0.9987−2.65 0.0075 −1.89 0.0363 −1.13 0.1356 −0.37 0.3575 0.39 0.6498 1.15 0.8685 1.91 0.9651 2.67 0.9928 3.43 0.9987

Area Under t-distribution to the Left of t =x− µs/√n

22 degree(s) of freedom−3.40 0.0013 −2.64 0.0075 −1.88 0.0367 −1.12 0.1374 −0.36 0.3611 0.40 0.6535 1.16 0.8708 1.92 0.9660 2.68 0.9932−3.39 0.0013 −2.63 0.0076 −1.87 0.0374 −1.11 0.1395 −0.35 0.3648 0.41 0.6571 1.17 0.8727 1.93 0.9667 2.69 0.9933−3.38 0.0013 −2.62 0.0078 −1.86 0.0382 −1.10 0.1416 −0.34 0.3685 0.42 0.6607 1.18 0.8747 1.94 0.9673 2.70 0.9935−3.37 0.0014 −2.61 0.0080 −1.85 0.0389 −1.09 0.1438 −0.33 0.3723 0.43 0.6643 1.19 0.8766 1.95 0.9680 2.71 0.9936−3.36 0.0014 −2.60 0.0082 −1.84 0.0397 −1.08 0.1459 −0.32 0.3760 0.44 0.6679 1.20 0.8785 1.96 0.9686 2.72 0.9937−3.35 0.0014 −2.59 0.0084 −1.83 0.0404 −1.07 0.1481 −0.31 0.3797 0.45 0.6714 1.21 0.8804 1.97 0.9692 2.73 0.9939−3.34 0.0015 −2.58 0.0085 −1.82 0.0412 −1.06 0.1503 −0.30 0.3835 0.46 0.6750 1.22 0.8823 1.98 0.9698 2.74 0.9940−3.33 0.0015 −2.57 0.0087 −1.81 0.0420 −1.05 0.1526 −0.29 0.3873 0.47 0.6785 1.23 0.8842 1.99 0.9704 2.75 0.9942−3.32 0.0016 −2.56 0.0089 −1.80 0.0428 −1.04 0.1548 −0.28 0.3910 0.48 0.6820 1.24 0.8860 2.00 0.9710 2.76 0.9943−3.31 0.0016 −2.55 0.0091 −1.79 0.0436 −1.03 0.1571 −0.27 0.3948 0.49 0.6855 1.25 0.8878 2.01 0.9716 2.77 0.9944−3.30 0.0016 −2.54 0.0093 −1.78 0.0444 −1.02 0.1594 −0.26 0.3986 0.50 0.6890 1.26 0.8896 2.02 0.9721 2.78 0.9945−3.29 0.0017 −2.53 0.0095 −1.77 0.0453 −1.01 0.1617 −0.25 0.4025 0.51 0.6924 1.27 0.8913 2.03 0.9727 2.79 0.9947−3.28 0.0017 −2.52 0.0097 −1.76 0.0462 −1.00 0.1641 −0.24 0.4063 0.52 0.6959 1.28 0.8931 2.04 0.9732 2.80 0.9948−3.27 0.0018 −2.51 0.0100 −1.75 0.0470 −0.99 0.1665 −0.23 0.4101 0.53 0.6993 1.29 0.8948 2.05 0.9738 2.81 0.9949−3.26 0.0018 −2.50 0.0102 −1.74 0.0479 −0.98 0.1689 −0.22 0.4139 0.54 0.7027 1.30 0.8965 2.06 0.9743 2.82 0.9950−3.25 0.0018 −2.49 0.0104 −1.73 0.0488 −0.97 0.1713 −0.21 0.4178 0.55 0.7061 1.31 0.8981 2.07 0.9748 2.83 0.9951−3.24 0.0019 −2.48 0.0106 −1.72 0.0497 −0.96 0.1737 −0.20 0.4217 0.56 0.7094 1.32 0.8998 2.08 0.9753 2.84 0.9952−3.23 0.0019 −2.47 0.0109 −1.71 0.0507 −0.95 0.1762 −0.19 0.4255 0.57 0.7128 1.33 0.9014 2.09 0.9758 2.85 0.9953−3.22 0.0020 −2.46 0.0111 −1.70 0.0516 −0.94 0.1787 −0.18 0.4294 0.58 0.7161 1.34 0.9030 2.10 0.9763 2.86 0.9954−3.21 0.0020 −2.45 0.0114 −1.69 0.0526 −0.93 0.1812 −0.17 0.4333 0.59 0.7194 1.35 0.9046 2.11 0.9768 2.87 0.9956−3.20 0.0021 −2.44 0.0116 −1.68 0.0536 −0.92 0.1838 −0.16 0.4372 0.60 0.7227 1.36 0.9062 2.12 0.9772 2.88 0.9957−3.19 0.0021 −2.43 0.0119 −1.67 0.0545 −0.91 0.1863 −0.15 0.4411 0.61 0.7259 1.37 0.9077 2.13 0.9777 2.89 0.9958−3.18 0.0022 −2.42 0.0121 −1.66 0.0556 −0.90 0.1889 −0.14 0.4450 0.62 0.7292 1.38 0.9093 2.14 0.9782 2.90 0.9958−3.17 0.0022 −2.41 0.0124 −1.65 0.0566 −0.89 0.1915 −0.13 0.4489 0.63 0.7324 1.39 0.9108 2.15 0.9786 2.91 0.9959−3.16 0.0023 −2.40 0.0126 −1.64 0.0576 −0.88 0.1942 −0.12 0.4528 0.64 0.7356 1.40 0.9123 2.16 0.9790 2.92 0.9960−3.15 0.0023 −2.39 0.0129 −1.63 0.0587 −0.87 0.1968 −0.11 0.4567 0.65 0.7388 1.41 0.9137 2.17 0.9795 2.93 0.9961−3.14 0.0024 −2.38 0.0132 −1.62 0.0597 −0.86 0.1995 −0.10 0.4606 0.66 0.7419 1.42 0.9152 2.18 0.9799 2.94 0.9962−3.13 0.0024 −2.37 0.0135 −1.61 0.0608 −0.85 0.2022 −0.09 0.4646 0.67 0.7451 1.43 0.9166 2.19 0.9803 2.95 0.9963−3.12 0.0025 −2.36 0.0138 −1.60 0.0619 −0.84 0.2050 −0.08 0.4685 0.68 0.7482 1.44 0.9180 2.20 0.9807 2.96 0.9964−3.11 0.0026 −2.35 0.0141 −1.59 0.0631 −0.83 0.2077 −0.07 0.4724 0.69 0.7513 1.45 0.9194 2.21 0.9811 2.97 0.9965−3.10 0.0026 −2.34 0.0144 −1.58 0.0642 −0.82 0.2105 −0.06 0.4763 0.70 0.7544 1.46 0.9208 2.22 0.9815 2.98 0.9965−3.09 0.0027 −2.33 0.0147 −1.57 0.0653 −0.81 0.2133 −0.05 0.4803 0.71 0.7574 1.47 0.9221 2.23 0.9819 2.99 0.9966−3.08 0.0027 −2.32 0.0150 −1.56 0.0665 −0.80 0.2161 −0.04 0.4842 0.72 0.7604 1.48 0.9235 2.24 0.9822 3.00 0.9967−3.07 0.0028 −2.31 0.0153 −1.55 0.0677 −0.79 0.2190 −0.03 0.4882 0.73 0.7635 1.49 0.9248 2.25 0.9826 3.01 0.9968−3.06 0.0029 −2.30 0.0157 −1.54 0.0689 −0.78 0.2219 −0.02 0.4921 0.74 0.7664 1.50 0.9261 2.26 0.9830 3.02 0.9969−3.05 0.0029 −2.29 0.0160 −1.53 0.0701 −0.77 0.2247 −0.01 0.4961 0.75 0.7694 1.51 0.9274 2.27 0.9833 3.03 0.9969−3.04 0.0030 −2.28 0.0163 −1.52 0.0714 −0.76 0.2277 0.00 0.5000 0.76 0.7723 1.52 0.9286 2.28 0.9837 3.04 0.9970−3.03 0.0031 −2.27 0.0167 −1.51 0.0726 −0.75 0.2306 0.01 0.5039 0.77 0.7753 1.53 0.9299 2.29 0.9840 3.05 0.9971−3.02 0.0031 −2.26 0.0170 −1.50 0.0739 −0.74 0.2336 0.02 0.5079 0.78 0.7781 1.54 0.9311 2.30 0.9843 3.06 0.9971−3.01 0.0032 −2.25 0.0174 −1.49 0.0752 −0.73 0.2365 0.03 0.5118 0.79 0.7810 1.55 0.9323 2.31 0.9847 3.07 0.9972−3.00 0.0033 −2.24 0.0178 −1.48 0.0765 −0.72 0.2396 0.04 0.5158 0.80 0.7839 1.56 0.9335 2.32 0.9850 3.08 0.9973−2.99 0.0034 −2.23 0.0181 −1.47 0.0779 −0.71 0.2426 0.05 0.5197 0.81 0.7867 1.57 0.9347 2.33 0.9853 3.09 0.9973−2.98 0.0035 −2.22 0.0185 −1.46 0.0792 −0.70 0.2456 0.06 0.5237 0.82 0.7895 1.58 0.9358 2.34 0.9856 3.10 0.9974−2.97 0.0035 −2.21 0.0189 −1.45 0.0806 −0.69 0.2487 0.07 0.5276 0.83 0.7923 1.59 0.9369 2.35 0.9859 3.11 0.9974−2.96 0.0036 −2.20 0.0193 −1.44 0.0820 −0.68 0.2518 0.08 0.5315 0.84 0.7950 1.60 0.9381 2.36 0.9862 3.12 0.9975−2.95 0.0037 −2.19 0.0197 −1.43 0.0834 −0.67 0.2549 0.09 0.5354 0.85 0.7978 1.61 0.9392 2.37 0.9865 3.13 0.9976−2.94 0.0038 −2.18 0.0201 −1.42 0.0848 −0.66 0.2581 0.10 0.5394 0.86 0.8005 1.62 0.9403 2.38 0.9868 3.14 0.9976−2.93 0.0039 −2.17 0.0205 −1.41 0.0863 −0.65 0.2612 0.11 0.5433 0.87 0.8032 1.63 0.9413 2.39 0.9871 3.15 0.9977−2.92 0.0040 −2.16 0.0210 −1.40 0.0877 −0.64 0.2644 0.12 0.5472 0.88 0.8058 1.64 0.9424 2.40 0.9874 3.16 0.9977−2.91 0.0041 −2.15 0.0214 −1.39 0.0892 −0.63 0.2676 0.13 0.5511 0.89 0.8085 1.65 0.9434 2.41 0.9876 3.17 0.9978−2.90 0.0042 −2.14 0.0218 −1.38 0.0907 −0.62 0.2708 0.14 0.5550 0.90 0.8111 1.66 0.9444 2.42 0.9879 3.18 0.9978−2.89 0.0042 −2.13 0.0223 −1.37 0.0923 −0.61 0.2741 0.15 0.5589 0.91 0.8137 1.67 0.9455 2.43 0.9881 3.19 0.9979−2.88 0.0043 −2.12 0.0228 −1.36 0.0938 −0.60 0.2773 0.16 0.5628 0.92 0.8162 1.68 0.9464 2.44 0.9884 3.20 0.9979−2.87 0.0044 −2.11 0.0232 −1.35 0.0954 −0.59 0.2806 0.17 0.5667 0.93 0.8188 1.69 0.9474 2.45 0.9886 3.21 0.9980−2.86 0.0046 −2.10 0.0237 −1.34 0.0970 −0.58 0.2839 0.18 0.5706 0.94 0.8213 1.70 0.9484 2.46 0.9889 3.22 0.9980−2.85 0.0047 −2.09 0.0242 −1.33 0.0986 −0.57 0.2872 0.19 0.5745 0.95 0.8238 1.71 0.9493 2.47 0.9891 3.23 0.9981−2.84 0.0048 −2.08 0.0247 −1.32 0.1002 −0.56 0.2906 0.20 0.5783 0.96 0.8263 1.72 0.9503 2.48 0.9894 3.24 0.9981−2.83 0.0049 −2.07 0.0252 −1.31 0.1019 −0.55 0.2939 0.21 0.5822 0.97 0.8287 1.73 0.9512 2.49 0.9896 3.25 0.9982−2.82 0.0050 −2.06 0.0257 −1.30 0.1035 −0.54 0.2973 0.22 0.5861 0.98 0.8311 1.74 0.9521 2.50 0.9898 3.26 0.9982−2.81 0.0051 −2.05 0.0262 −1.29 0.1052 −0.53 0.3007 0.23 0.5899 0.99 0.8335 1.75 0.9530 2.51 0.9900 3.27 0.9982−2.80 0.0052 −2.04 0.0268 −1.28 0.1069 −0.52 0.3041 0.24 0.5937 1.00 0.8359 1.76 0.9538 2.52 0.9903 3.28 0.9983−2.79 0.0053 −2.03 0.0273 −1.27 0.1087 −0.51 0.3076 0.25 0.5975 1.01 0.8383 1.77 0.9547 2.53 0.9905 3.29 0.9983−2.78 0.0055 −2.02 0.0279 −1.26 0.1104 −0.50 0.3110 0.26 0.6014 1.02 0.8406 1.78 0.9556 2.54 0.9907 3.30 0.9984−2.77 0.0056 −2.01 0.0284 −1.25 0.1122 −0.49 0.3145 0.27 0.6052 1.03 0.8429 1.79 0.9564 2.55 0.9909 3.31 0.9984−2.76 0.0057 −2.00 0.0290 −1.24 0.1140 −0.48 0.3180 0.28 0.6090 1.04 0.8452 1.80 0.9572 2.56 0.9911 3.32 0.9984−2.75 0.0058 −1.99 0.0296 −1.23 0.1158 −0.47 0.3215 0.29 0.6127 1.05 0.8474 1.81 0.9580 2.57 0.9913 3.33 0.9985−2.74 0.0060 −1.98 0.0302 −1.22 0.1177 −0.46 0.3250 0.30 0.6165 1.06 0.8497 1.82 0.9588 2.58 0.9915 3.34 0.9985−2.73 0.0061 −1.97 0.0308 −1.21 0.1196 −0.45 0.3286 0.31 0.6203 1.07 0.8519 1.83 0.9596 2.59 0.9916 3.35 0.9986−2.72 0.0063 −1.96 0.0314 −1.20 0.1215 −0.44 0.3321 0.32 0.6240 1.08 0.8541 1.84 0.9603 2.60 0.9918 3.36 0.9986−2.71 0.0064 −1.95 0.0320 −1.19 0.1234 −0.43 0.3357 0.33 0.6277 1.09 0.8562 1.85 0.9611 2.61 0.9920 3.37 0.9986−2.70 0.0065 −1.94 0.0327 −1.18 0.1253 −0.42 0.3393 0.34 0.6315 1.10 0.8584 1.86 0.9618 2.62 0.9922 3.38 0.9987−2.69 0.0067 −1.93 0.0333 −1.17 0.1273 −0.41 0.3429 0.35 0.6352 1.11 0.8605 1.87 0.9626 2.63 0.9924 3.39 0.9987−2.68 0.0068 −1.92 0.0340 −1.16 0.1292 −0.40 0.3465 0.36 0.6389 1.12 0.8626 1.88 0.9633 2.64 0.9925 3.40 0.9987−2.67 0.0070 −1.91 0.0346 −1.15 0.1312 −0.39 0.3501 0.37 0.6425 1.13 0.8647 1.89 0.9640 2.65 0.9927 3.41 0.9987−2.66 0.0072 −1.90 0.0353 −1.14 0.1333 −0.38 0.3538 0.38 0.6462 1.14 0.8667 1.90 0.9647 2.66 0.9928 3.42 0.9988−2.65 0.0073 −1.89 0.0360 −1.13 0.1353 −0.37 0.3575 0.39 0.6499 1.15 0.8688 1.91 0.9654 2.67 0.9930 3.43 0.9988

Area Under t-distribution to the Left of t =x− µs/√n

23 degree(s) of freedom−3.40 0.0012 −2.64 0.0073 −1.88 0.0364 −1.12 0.1371 −0.36 0.3611 0.40 0.6536 1.16 0.8710 1.92 0.9663 2.68 0.9933−3.39 0.0013 −2.63 0.0075 −1.87 0.0371 −1.11 0.1392 −0.35 0.3648 0.41 0.6572 1.17 0.8730 1.93 0.9670 2.69 0.9935−3.38 0.0013 −2.62 0.0077 −1.86 0.0379 −1.10 0.1414 −0.34 0.3685 0.42 0.6608 1.18 0.8750 1.94 0.9676 2.70 0.9936−3.37 0.0013 −2.61 0.0078 −1.85 0.0386 −1.09 0.1435 −0.33 0.3722 0.43 0.6644 1.19 0.8769 1.95 0.9683 2.71 0.9938−3.36 0.0014 −2.60 0.0080 −1.84 0.0394 −1.08 0.1457 −0.32 0.3759 0.44 0.6680 1.20 0.8788 1.96 0.9689 2.72 0.9939−3.35 0.0014 −2.59 0.0082 −1.83 0.0401 −1.07 0.1479 −0.31 0.3797 0.45 0.6715 1.21 0.8807 1.97 0.9695 2.73 0.9940−3.34 0.0014 −2.58 0.0084 −1.82 0.0409 −1.06 0.1501 −0.30 0.3834 0.46 0.6751 1.22 0.8826 1.98 0.9701 2.74 0.9942−3.33 0.0015 −2.57 0.0086 −1.81 0.0417 −1.05 0.1523 −0.29 0.3872 0.47 0.6786 1.23 0.8844 1.99 0.9707 2.75 0.9943−3.32 0.0015 −2.56 0.0088 −1.80 0.0425 −1.04 0.1546 −0.28 0.3910 0.48 0.6821 1.24 0.8863 2.00 0.9713 2.76 0.9944−3.31 0.0015 −2.55 0.0089 −1.79 0.0433 −1.03 0.1569 −0.27 0.3948 0.49 0.6856 1.25 0.8881 2.01 0.9718 2.77 0.9946−3.30 0.0016 −2.54 0.0092 −1.78 0.0441 −1.02 0.1592 −0.26 0.3986 0.50 0.6891 1.26 0.8898 2.02 0.9724 2.78 0.9947−3.29 0.0016 −2.53 0.0094 −1.77 0.0450 −1.01 0.1615 −0.25 0.4024 0.51 0.6925 1.27 0.8916 2.03 0.9730 2.79 0.9948−3.28 0.0016 −2.52 0.0096 −1.76 0.0459 −1.00 0.1639 −0.24 0.4062 0.52 0.6960 1.28 0.8933 2.04 0.9735 2.80 0.9949−3.27 0.0017 −2.51 0.0098 −1.75 0.0467 −0.99 0.1662 −0.23 0.4101 0.53 0.6994 1.29 0.8951 2.05 0.9740 2.81 0.9950−3.26 0.0017 −2.50 0.0100 −1.74 0.0476 −0.98 0.1686 −0.22 0.4139 0.54 0.7028 1.30 0.8968 2.06 0.9746 2.82 0.9951−3.25 0.0018 −2.49 0.0102 −1.73 0.0485 −0.97 0.1711 −0.21 0.4178 0.55 0.7062 1.31 0.8984 2.07 0.9751 2.83 0.9953−3.24 0.0018 −2.48 0.0104 −1.72 0.0494 −0.96 0.1735 −0.20 0.4216 0.56 0.7096 1.32 0.9001 2.08 0.9756 2.84 0.9954−3.23 0.0019 −2.47 0.0107 −1.71 0.0504 −0.95 0.1760 −0.19 0.4255 0.57 0.7129 1.33 0.9017 2.09 0.9761 2.85 0.9955−3.22 0.0019 −2.46 0.0109 −1.70 0.0513 −0.94 0.1785 −0.18 0.4294 0.58 0.7162 1.34 0.9033 2.10 0.9766 2.86 0.9956−3.21 0.0019 −2.45 0.0112 −1.69 0.0523 −0.93 0.1810 −0.17 0.4332 0.59 0.7195 1.35 0.9049 2.11 0.9770 2.87 0.9957−3.20 0.0020 −2.44 0.0114 −1.68 0.0532 −0.92 0.1836 −0.16 0.4371 0.60 0.7228 1.36 0.9065 2.12 0.9775 2.88 0.9958−3.19 0.0020 −2.43 0.0117 −1.67 0.0542 −0.91 0.1861 −0.15 0.4410 0.61 0.7261 1.37 0.9080 2.13 0.9780 2.89 0.9959−3.18 0.0021 −2.42 0.0119 −1.66 0.0552 −0.90 0.1887 −0.14 0.4449 0.62 0.7293 1.38 0.9096 2.14 0.9784 2.90 0.9960−3.17 0.0021 −2.41 0.0122 −1.65 0.0563 −0.89 0.1913 −0.13 0.4488 0.63 0.7325 1.39 0.9111 2.15 0.9788 2.91 0.9961−3.16 0.0022 −2.40 0.0124 −1.64 0.0573 −0.88 0.1940 −0.12 0.4528 0.64 0.7358 1.40 0.9126 2.16 0.9793 2.92 0.9961−3.15 0.0022 −2.39 0.0127 −1.63 0.0584 −0.87 0.1966 −0.11 0.4567 0.65 0.7389 1.41 0.9140 2.17 0.9797 2.93 0.9962−3.14 0.0023 −2.38 0.0130 −1.62 0.0594 −0.86 0.1993 −0.10 0.4606 0.66 0.7421 1.42 0.9155 2.18 0.9801 2.94 0.9963−3.13 0.0024 −2.37 0.0133 −1.61 0.0605 −0.85 0.2020 −0.09 0.4645 0.67 0.7452 1.43 0.9169 2.19 0.9805 2.95 0.9964−3.12 0.0024 −2.36 0.0136 −1.60 0.0616 −0.84 0.2048 −0.08 0.4685 0.68 0.7484 1.44 0.9183 2.20 0.9809 2.96 0.9965−3.11 0.0025 −2.35 0.0139 −1.59 0.0627 −0.83 0.2075 −0.07 0.4724 0.69 0.7515 1.45 0.9197 2.21 0.9813 2.97 0.9966−3.10 0.0025 −2.34 0.0142 −1.58 0.0639 −0.82 0.2103 −0.06 0.4763 0.70 0.7545 1.46 0.9211 2.22 0.9817 2.98 0.9967−3.09 0.0026 −2.33 0.0145 −1.57 0.0650 −0.81 0.2131 −0.05 0.4803 0.71 0.7576 1.47 0.9224 2.23 0.9821 2.99 0.9967−3.08 0.0026 −2.32 0.0148 −1.56 0.0662 −0.80 0.2159 −0.04 0.4842 0.72 0.7606 1.48 0.9238 2.24 0.9825 3.00 0.9968−3.07 0.0027 −2.31 0.0151 −1.55 0.0674 −0.79 0.2188 −0.03 0.4882 0.73 0.7636 1.49 0.9251 2.25 0.9828 3.01 0.9969−3.06 0.0028 −2.30 0.0154 −1.54 0.0686 −0.78 0.2217 −0.02 0.4921 0.74 0.7666 1.50 0.9264 2.26 0.9832 3.02 0.9970−3.05 0.0028 −2.29 0.0158 −1.53 0.0698 −0.77 0.2246 −0.01 0.4961 0.75 0.7696 1.51 0.9277 2.27 0.9836 3.03 0.9970−3.04 0.0029 −2.28 0.0161 −1.52 0.0711 −0.76 0.2275 0.00 0.5000 0.76 0.7725 1.52 0.9289 2.28 0.9839 3.04 0.9971−3.03 0.0030 −2.27 0.0164 −1.51 0.0723 −0.75 0.2304 0.01 0.5039 0.77 0.7754 1.53 0.9302 2.29 0.9842 3.05 0.9972−3.02 0.0030 −2.26 0.0168 −1.50 0.0736 −0.74 0.2334 0.02 0.5079 0.78 0.7783 1.54 0.9314 2.30 0.9846 3.06 0.9972−3.01 0.0031 −2.25 0.0172 −1.49 0.0749 −0.73 0.2364 0.03 0.5118 0.79 0.7812 1.55 0.9326 2.31 0.9849 3.07 0.9973−3.00 0.0032 −2.24 0.0175 −1.48 0.0762 −0.72 0.2394 0.04 0.5158 0.80 0.7841 1.56 0.9338 2.32 0.9852 3.08 0.9974−2.99 0.0033 −2.23 0.0179 −1.47 0.0776 −0.71 0.2424 0.05 0.5197 0.81 0.7869 1.57 0.9350 2.33 0.9855 3.09 0.9974−2.98 0.0033 −2.22 0.0183 −1.46 0.0789 −0.70 0.2455 0.06 0.5237 0.82 0.7897 1.58 0.9361 2.34 0.9858 3.10 0.9975−2.97 0.0034 −2.21 0.0187 −1.45 0.0803 −0.69 0.2485 0.07 0.5276 0.83 0.7925 1.59 0.9373 2.35 0.9861 3.11 0.9975−2.96 0.0035 −2.20 0.0191 −1.44 0.0817 −0.68 0.2516 0.08 0.5315 0.84 0.7952 1.60 0.9384 2.36 0.9864 3.12 0.9976−2.95 0.0036 −2.19 0.0195 −1.43 0.0831 −0.67 0.2548 0.09 0.5355 0.85 0.7980 1.61 0.9395 2.37 0.9867 3.13 0.9976−2.94 0.0037 −2.18 0.0199 −1.42 0.0845 −0.66 0.2579 0.10 0.5394 0.86 0.8007 1.62 0.9406 2.38 0.9870 3.14 0.9977−2.93 0.0038 −2.17 0.0203 −1.41 0.0860 −0.65 0.2611 0.11 0.5433 0.87 0.8034 1.63 0.9416 2.39 0.9873 3.15 0.9978−2.92 0.0039 −2.16 0.0207 −1.40 0.0874 −0.64 0.2642 0.12 0.5472 0.88 0.8060 1.64 0.9427 2.40 0.9876 3.16 0.9978−2.91 0.0039 −2.15 0.0212 −1.39 0.0889 −0.63 0.2675 0.13 0.5512 0.89 0.8087 1.65 0.9437 2.41 0.9878 3.17 0.9979−2.90 0.0040 −2.14 0.0216 −1.38 0.0904 −0.62 0.2707 0.14 0.5551 0.90 0.8113 1.66 0.9448 2.42 0.9881 3.18 0.9979−2.89 0.0041 −2.13 0.0220 −1.37 0.0920 −0.61 0.2739 0.15 0.5590 0.91 0.8139 1.67 0.9458 2.43 0.9883 3.19 0.9980−2.88 0.0042 −2.12 0.0225 −1.36 0.0935 −0.60 0.2772 0.16 0.5629 0.92 0.8164 1.68 0.9468 2.44 0.9886 3.20 0.9980−2.87 0.0043 −2.11 0.0230 −1.35 0.0951 −0.59 0.2805 0.17 0.5668 0.93 0.8190 1.69 0.9477 2.45 0.9888 3.21 0.9981−2.86 0.0044 −2.10 0.0234 −1.34 0.0967 −0.58 0.2838 0.18 0.5706 0.94 0.8215 1.70 0.9487 2.46 0.9891 3.22 0.9981−2.85 0.0045 −2.09 0.0239 −1.33 0.0983 −0.57 0.2871 0.19 0.5745 0.95 0.8240 1.71 0.9496 2.47 0.9893 3.23 0.9981−2.84 0.0046 −2.08 0.0244 −1.32 0.0999 −0.56 0.2904 0.20 0.5784 0.96 0.8265 1.72 0.9506 2.48 0.9896 3.24 0.9982−2.83 0.0047 −2.07 0.0249 −1.31 0.1016 −0.55 0.2938 0.21 0.5822 0.97 0.8289 1.73 0.9515 2.49 0.9898 3.25 0.9982−2.82 0.0049 −2.06 0.0254 −1.30 0.1032 −0.54 0.2972 0.22 0.5861 0.98 0.8314 1.74 0.9524 2.50 0.9900 3.26 0.9983−2.81 0.0050 −2.05 0.0260 −1.29 0.1049 −0.53 0.3006 0.23 0.5899 0.99 0.8338 1.75 0.9533 2.51 0.9902 3.27 0.9983−2.80 0.0051 −2.04 0.0265 −1.28 0.1067 −0.52 0.3040 0.24 0.5938 1.00 0.8361 1.76 0.9541 2.52 0.9904 3.28 0.9984−2.79 0.0052 −2.03 0.0270 −1.27 0.1084 −0.51 0.3075 0.25 0.5976 1.01 0.8385 1.77 0.9550 2.53 0.9906 3.29 0.9984−2.78 0.0053 −2.02 0.0276 −1.26 0.1102 −0.50 0.3109 0.26 0.6014 1.02 0.8408 1.78 0.9559 2.54 0.9908 3.30 0.9984−2.77 0.0054 −2.01 0.0282 −1.25 0.1119 −0.49 0.3144 0.27 0.6052 1.03 0.8431 1.79 0.9567 2.55 0.9911 3.31 0.9985−2.76 0.0056 −2.00 0.0287 −1.24 0.1137 −0.48 0.3179 0.28 0.6090 1.04 0.8454 1.80 0.9575 2.56 0.9912 3.32 0.9985−2.75 0.0057 −1.99 0.0293 −1.23 0.1156 −0.47 0.3214 0.29 0.6128 1.05 0.8477 1.81 0.9583 2.57 0.9914 3.33 0.9985−2.74 0.0058 −1.98 0.0299 −1.22 0.1174 −0.46 0.3249 0.30 0.6166 1.06 0.8499 1.82 0.9591 2.58 0.9916 3.34 0.9986−2.73 0.0060 −1.97 0.0305 −1.21 0.1193 −0.45 0.3285 0.31 0.6203 1.07 0.8521 1.83 0.9599 2.59 0.9918 3.35 0.9986−2.72 0.0061 −1.96 0.0311 −1.20 0.1212 −0.44 0.3320 0.32 0.6241 1.08 0.8543 1.84 0.9606 2.60 0.9920 3.36 0.9986−2.71 0.0062 −1.95 0.0317 −1.19 0.1231 −0.43 0.3356 0.33 0.6278 1.09 0.8565 1.85 0.9614 2.61 0.9922 3.37 0.9987−2.70 0.0064 −1.94 0.0324 −1.18 0.1250 −0.42 0.3392 0.34 0.6315 1.10 0.8586 1.86 0.9621 2.62 0.9923 3.38 0.9987−2.69 0.0065 −1.93 0.0330 −1.17 0.1270 −0.41 0.3428 0.35 0.6352 1.11 0.8608 1.87 0.9629 2.63 0.9925 3.39 0.9987−2.68 0.0067 −1.92 0.0337 −1.16 0.1290 −0.40 0.3464 0.36 0.6389 1.12 0.8629 1.88 0.9636 2.64 0.9927 3.40 0.9988−2.67 0.0068 −1.91 0.0343 −1.15 0.1310 −0.39 0.3501 0.37 0.6426 1.13 0.8649 1.89 0.9643 2.65 0.9928 3.41 0.9988−2.66 0.0070 −1.90 0.0350 −1.14 0.1330 −0.38 0.3537 0.38 0.6463 1.14 0.8670 1.90 0.9650 2.66 0.9930 3.42 0.9988−2.65 0.0072 −1.89 0.0357 −1.13 0.1351 −0.37 0.3574 0.39 0.6499 1.15 0.8690 1.91 0.9657 2.67 0.9932 3.43 0.9989

Area Under t-distribution to the Left of t =x− µs/√n

24 degree(s) of freedom−3.40 0.0012 −2.64 0.0072 −1.88 0.0362 −1.12 0.1369 −0.36 0.3610 0.40 0.6537 1.16 0.8713 1.92 0.9666 2.68 0.9935−3.39 0.0012 −2.63 0.0073 −1.87 0.0369 −1.11 0.1390 −0.35 0.3647 0.41 0.6573 1.17 0.8733 1.93 0.9672 2.69 0.9936−3.38 0.0012 −2.62 0.0075 −1.86 0.0376 −1.10 0.1411 −0.34 0.3684 0.42 0.6609 1.18 0.8752 1.94 0.9679 2.70 0.9937−3.37 0.0013 −2.61 0.0077 −1.85 0.0383 −1.09 0.1433 −0.33 0.3721 0.43 0.6645 1.19 0.8772 1.95 0.9685 2.71 0.9939−3.36 0.0013 −2.60 0.0079 −1.84 0.0391 −1.08 0.1454 −0.32 0.3759 0.44 0.6681 1.20 0.8791 1.96 0.9691 2.72 0.9940−3.35 0.0013 −2.59 0.0080 −1.83 0.0398 −1.07 0.1476 −0.31 0.3796 0.45 0.6716 1.21 0.8810 1.97 0.9698 2.73 0.9942−3.34 0.0014 −2.58 0.0082 −1.82 0.0406 −1.06 0.1498 −0.30 0.3834 0.46 0.6752 1.22 0.8828 1.98 0.9704 2.74 0.9943−3.33 0.0014 −2.57 0.0084 −1.81 0.0414 −1.05 0.1521 −0.29 0.3872 0.47 0.6787 1.23 0.8847 1.99 0.9710 2.75 0.9944−3.32 0.0014 −2.56 0.0086 −1.80 0.0422 −1.04 0.1544 −0.28 0.3909 0.48 0.6822 1.24 0.8865 2.00 0.9715 2.76 0.9946−3.31 0.0015 −2.55 0.0088 −1.79 0.0430 −1.03 0.1566 −0.27 0.3947 0.49 0.6857 1.25 0.8883 2.01 0.9721 2.77 0.9947−3.30 0.0015 −2.54 0.0090 −1.78 0.0439 −1.02 0.1590 −0.26 0.3985 0.50 0.6892 1.26 0.8901 2.02 0.9727 2.78 0.9948−3.29 0.0015 −2.53 0.0092 −1.77 0.0447 −1.01 0.1613 −0.25 0.4024 0.51 0.6926 1.27 0.8919 2.03 0.9732 2.79 0.9949−3.28 0.0016 −2.52 0.0094 −1.76 0.0456 −1.00 0.1636 −0.24 0.4062 0.52 0.6961 1.28 0.8936 2.04 0.9737 2.80 0.9950−3.27 0.0016 −2.51 0.0096 −1.75 0.0464 −0.99 0.1660 −0.23 0.4100 0.53 0.6995 1.29 0.8953 2.05 0.9743 2.81 0.9951−3.26 0.0017 −2.50 0.0098 −1.74 0.0473 −0.98 0.1684 −0.22 0.4139 0.54 0.7029 1.30 0.8970 2.06 0.9748 2.82 0.9953−3.25 0.0017 −2.49 0.0100 −1.73 0.0482 −0.97 0.1709 −0.21 0.4177 0.55 0.7063 1.31 0.8987 2.07 0.9753 2.83 0.9954−3.24 0.0017 −2.48 0.0103 −1.72 0.0492 −0.96 0.1733 −0.20 0.4216 0.56 0.7097 1.32 0.9004 2.08 0.9758 2.84 0.9955−3.23 0.0018 −2.47 0.0105 −1.71 0.0501 −0.95 0.1758 −0.19 0.4255 0.57 0.7130 1.33 0.9020 2.09 0.9763 2.85 0.9956−3.22 0.0018 −2.46 0.0107 −1.70 0.0510 −0.94 0.1783 −0.18 0.4293 0.58 0.7163 1.34 0.9036 2.10 0.9768 2.86 0.9957−3.21 0.0019 −2.45 0.0110 −1.69 0.0520 −0.93 0.1808 −0.17 0.4332 0.59 0.7196 1.35 0.9052 2.11 0.9773 2.87 0.9958−3.20 0.0019 −2.44 0.0112 −1.68 0.0530 −0.92 0.1834 −0.16 0.4371 0.60 0.7229 1.36 0.9068 2.12 0.9777 2.88 0.9959−3.19 0.0020 −2.43 0.0115 −1.67 0.0540 −0.91 0.1859 −0.15 0.4410 0.61 0.7262 1.37 0.9083 2.13 0.9782 2.89 0.9960−3.18 0.0020 −2.42 0.0117 −1.66 0.0550 −0.90 0.1885 −0.14 0.4449 0.62 0.7294 1.38 0.9098 2.14 0.9786 2.90 0.9961−3.17 0.0021 −2.41 0.0120 −1.65 0.0560 −0.89 0.1912 −0.13 0.4488 0.63 0.7327 1.39 0.9114 2.15 0.9791 2.91 0.9962−3.16 0.0021 −2.40 0.0123 −1.64 0.0570 −0.88 0.1938 −0.12 0.4527 0.64 0.7359 1.40 0.9128 2.16 0.9795 2.92 0.9963−3.15 0.0022 −2.39 0.0125 −1.63 0.0581 −0.87 0.1965 −0.11 0.4567 0.65 0.7391 1.41 0.9143 2.17 0.9799 2.93 0.9963−3.14 0.0022 −2.38 0.0128 −1.62 0.0591 −0.86 0.1991 −0.10 0.4606 0.66 0.7422 1.42 0.9158 2.18 0.9804 2.94 0.9964−3.13 0.0023 −2.37 0.0131 −1.61 0.0602 −0.85 0.2019 −0.09 0.4645 0.67 0.7454 1.43 0.9172 2.19 0.9808 2.95 0.9965−3.12 0.0023 −2.36 0.0134 −1.60 0.0613 −0.84 0.2046 −0.08 0.4685 0.68 0.7485 1.44 0.9186 2.20 0.9812 2.96 0.9966−3.11 0.0024 −2.35 0.0137 −1.59 0.0625 −0.83 0.2074 −0.07 0.4724 0.69 0.7516 1.45 0.9200 2.21 0.9816 2.97 0.9967−3.10 0.0024 −2.34 0.0140 −1.58 0.0636 −0.82 0.2101 −0.06 0.4763 0.70 0.7547 1.46 0.9214 2.22 0.9819 2.98 0.9967−3.09 0.0025 −2.33 0.0143 −1.57 0.0648 −0.81 0.2129 −0.05 0.4803 0.71 0.7577 1.47 0.9227 2.23 0.9823 2.99 0.9968−3.08 0.0026 −2.32 0.0146 −1.56 0.0659 −0.80 0.2158 −0.04 0.4842 0.72 0.7608 1.48 0.9241 2.24 0.9827 3.00 0.9969−3.07 0.0026 −2.31 0.0149 −1.55 0.0671 −0.79 0.2186 −0.03 0.4882 0.73 0.7638 1.49 0.9254 2.25 0.9831 3.01 0.9970−3.06 0.0027 −2.30 0.0152 −1.54 0.0683 −0.78 0.2215 −0.02 0.4921 0.74 0.7668 1.50 0.9267 2.26 0.9834 3.02 0.9970−3.05 0.0028 −2.29 0.0156 −1.53 0.0695 −0.77 0.2244 −0.01 0.4961 0.75 0.7697 1.51 0.9280 2.27 0.9838 3.03 0.9971−3.04 0.0028 −2.28 0.0159 −1.52 0.0708 −0.76 0.2273 0.00 0.5000 0.76 0.7727 1.52 0.9292 2.28 0.9841 3.04 0.9972−3.03 0.0029 −2.27 0.0162 −1.51 0.0720 −0.75 0.2303 0.01 0.5039 0.77 0.7756 1.53 0.9305 2.29 0.9844 3.05 0.9972−3.02 0.0030 −2.26 0.0166 −1.50 0.0733 −0.74 0.2332 0.02 0.5079 0.78 0.7785 1.54 0.9317 2.30 0.9848 3.06 0.9973−3.01 0.0030 −2.25 0.0169 −1.49 0.0746 −0.73 0.2362 0.03 0.5118 0.79 0.7814 1.55 0.9329 2.31 0.9851 3.07 0.9974−3.00 0.0031 −2.24 0.0173 −1.48 0.0759 −0.72 0.2392 0.04 0.5158 0.80 0.7842 1.56 0.9341 2.32 0.9854 3.08 0.9974−2.99 0.0032 −2.23 0.0177 −1.47 0.0773 −0.71 0.2423 0.05 0.5197 0.81 0.7871 1.57 0.9352 2.33 0.9857 3.09 0.9975−2.98 0.0033 −2.22 0.0181 −1.46 0.0786 −0.70 0.2453 0.06 0.5237 0.82 0.7899 1.58 0.9364 2.34 0.9860 3.10 0.9976−2.97 0.0033 −2.21 0.0184 −1.45 0.0800 −0.69 0.2484 0.07 0.5276 0.83 0.7926 1.59 0.9375 2.35 0.9863 3.11 0.9976−2.96 0.0034 −2.20 0.0188 −1.44 0.0814 −0.68 0.2515 0.08 0.5315 0.84 0.7954 1.60 0.9387 2.36 0.9866 3.12 0.9977−2.95 0.0035 −2.19 0.0192 −1.43 0.0828 −0.67 0.2546 0.09 0.5355 0.85 0.7981 1.61 0.9398 2.37 0.9869 3.13 0.9977−2.94 0.0036 −2.18 0.0196 −1.42 0.0842 −0.66 0.2578 0.10 0.5394 0.86 0.8009 1.62 0.9409 2.38 0.9872 3.14 0.9978−2.93 0.0037 −2.17 0.0201 −1.41 0.0857 −0.65 0.2609 0.11 0.5433 0.87 0.8035 1.63 0.9419 2.39 0.9875 3.15 0.9978−2.92 0.0037 −2.16 0.0205 −1.40 0.0872 −0.64 0.2641 0.12 0.5473 0.88 0.8062 1.64 0.9430 2.40 0.9877 3.16 0.9979−2.91 0.0038 −2.15 0.0209 −1.39 0.0886 −0.63 0.2673 0.13 0.5512 0.89 0.8088 1.65 0.9440 2.41 0.9880 3.17 0.9979−2.90 0.0039 −2.14 0.0214 −1.38 0.0902 −0.62 0.2706 0.14 0.5551 0.90 0.8115 1.66 0.9450 2.42 0.9883 3.18 0.9980−2.89 0.0040 −2.13 0.0218 −1.37 0.0917 −0.61 0.2738 0.15 0.5590 0.91 0.8141 1.67 0.9460 2.43 0.9885 3.19 0.9980−2.88 0.0041 −2.12 0.0223 −1.36 0.0932 −0.60 0.2771 0.16 0.5629 0.92 0.8166 1.68 0.9470 2.44 0.9888 3.20 0.9981−2.87 0.0042 −2.11 0.0227 −1.35 0.0948 −0.59 0.2804 0.17 0.5668 0.93 0.8192 1.69 0.9480 2.45 0.9890 3.21 0.9981−2.86 0.0043 −2.10 0.0232 −1.34 0.0964 −0.58 0.2837 0.18 0.5707 0.94 0.8217 1.70 0.9490 2.46 0.9893 3.22 0.9982−2.85 0.0044 −2.09 0.0237 −1.33 0.0980 −0.57 0.2870 0.19 0.5745 0.95 0.8242 1.71 0.9499 2.47 0.9895 3.23 0.9982−2.84 0.0045 −2.08 0.0242 −1.32 0.0996 −0.56 0.2903 0.20 0.5784 0.96 0.8267 1.72 0.9508 2.48 0.9897 3.24 0.9983−2.83 0.0046 −2.07 0.0247 −1.31 0.1013 −0.55 0.2937 0.21 0.5823 0.97 0.8291 1.73 0.9518 2.49 0.9900 3.25 0.9983−2.82 0.0047 −2.06 0.0252 −1.30 0.1030 −0.54 0.2971 0.22 0.5861 0.98 0.8316 1.74 0.9527 2.50 0.9902 3.26 0.9983−2.81 0.0049 −2.05 0.0257 −1.29 0.1047 −0.53 0.3005 0.23 0.5900 0.99 0.8340 1.75 0.9536 2.51 0.9904 3.27 0.9984−2.80 0.0050 −2.04 0.0263 −1.28 0.1064 −0.52 0.3039 0.24 0.5938 1.00 0.8364 1.76 0.9544 2.52 0.9906 3.28 0.9984−2.79 0.0051 −2.03 0.0268 −1.27 0.1081 −0.51 0.3074 0.25 0.5976 1.01 0.8387 1.77 0.9553 2.53 0.9908 3.29 0.9985−2.78 0.0052 −2.02 0.0273 −1.26 0.1099 −0.50 0.3108 0.26 0.6015 1.02 0.8410 1.78 0.9561 2.54 0.9910 3.30 0.9985−2.77 0.0053 −2.01 0.0279 −1.25 0.1117 −0.49 0.3143 0.27 0.6053 1.03 0.8434 1.79 0.9570 2.55 0.9912 3.31 0.9985−2.76 0.0054 −2.00 0.0285 −1.24 0.1135 −0.48 0.3178 0.28 0.6091 1.04 0.8456 1.80 0.9578 2.56 0.9914 3.32 0.9986−2.75 0.0056 −1.99 0.0290 −1.23 0.1153 −0.47 0.3213 0.29 0.6128 1.05 0.8479 1.81 0.9586 2.57 0.9916 3.33 0.9986−2.74 0.0057 −1.98 0.0296 −1.22 0.1172 −0.46 0.3248 0.30 0.6166 1.06 0.8502 1.82 0.9594 2.58 0.9918 3.34 0.9986−2.73 0.0058 −1.97 0.0302 −1.21 0.1190 −0.45 0.3284 0.31 0.6204 1.07 0.8524 1.83 0.9602 2.59 0.9920 3.35 0.9987−2.72 0.0060 −1.96 0.0309 −1.20 0.1209 −0.44 0.3319 0.32 0.6241 1.08 0.8546 1.84 0.9609 2.60 0.9921 3.36 0.9987−2.71 0.0061 −1.95 0.0315 −1.19 0.1228 −0.43 0.3355 0.33 0.6279 1.09 0.8567 1.85 0.9617 2.61 0.9923 3.37 0.9987−2.70 0.0063 −1.94 0.0321 −1.18 0.1248 −0.42 0.3391 0.34 0.6316 1.10 0.8589 1.86 0.9624 2.62 0.9925 3.38 0.9988−2.69 0.0064 −1.93 0.0328 −1.17 0.1267 −0.41 0.3427 0.35 0.6353 1.11 0.8610 1.87 0.9631 2.63 0.9927 3.39 0.9988−2.68 0.0065 −1.92 0.0334 −1.16 0.1287 −0.40 0.3463 0.36 0.6390 1.12 0.8631 1.88 0.9638 2.64 0.9928 3.40 0.9988−2.67 0.0067 −1.91 0.0341 −1.15 0.1307 −0.39 0.3500 0.37 0.6427 1.13 0.8652 1.89 0.9646 2.65 0.9930 3.41 0.9988−2.66 0.0069 −1.90 0.0348 −1.14 0.1328 −0.38 0.3536 0.38 0.6464 1.14 0.8672 1.90 0.9652 2.66 0.9931 3.42 0.9989−2.65 0.0070 −1.89 0.0354 −1.13 0.1348 −0.37 0.3573 0.39 0.6500 1.15 0.8693 1.91 0.9659 2.67 0.9933 3.43 0.9989

Area Under t-distribution to the Left of t =x− µs/√n

25 degree(s) of freedom−3.40 0.0011 −2.64 0.0070 −1.88 0.0359 −1.12 0.1367 −0.36 0.3609 0.40 0.6537 1.16 0.8715 1.92 0.9668 2.68 0.9936−3.39 0.0012 −2.63 0.0072 −1.87 0.0366 −1.11 0.1388 −0.35 0.3646 0.41 0.6574 1.17 0.8735 1.93 0.9675 2.69 0.9937−3.38 0.0012 −2.62 0.0074 −1.86 0.0373 −1.10 0.1409 −0.34 0.3683 0.42 0.6610 1.18 0.8754 1.94 0.9681 2.70 0.9939−3.37 0.0012 −2.61 0.0075 −1.85 0.0381 −1.09 0.1431 −0.33 0.3721 0.43 0.6646 1.19 0.8774 1.95 0.9688 2.71 0.9940−3.36 0.0013 −2.60 0.0077 −1.84 0.0388 −1.08 0.1452 −0.32 0.3758 0.44 0.6681 1.20 0.8793 1.96 0.9694 2.72 0.9941−3.35 0.0013 −2.59 0.0079 −1.83 0.0396 −1.07 0.1474 −0.31 0.3796 0.45 0.6717 1.21 0.8812 1.97 0.9700 2.73 0.9943−3.34 0.0013 −2.58 0.0081 −1.82 0.0404 −1.06 0.1496 −0.30 0.3833 0.46 0.6753 1.22 0.8831 1.98 0.9706 2.74 0.9944−3.33 0.0013 −2.57 0.0083 −1.81 0.0412 −1.05 0.1519 −0.29 0.3871 0.47 0.6788 1.23 0.8849 1.99 0.9712 2.75 0.9945−3.32 0.0014 −2.56 0.0084 −1.80 0.0420 −1.04 0.1541 −0.28 0.3909 0.48 0.6823 1.24 0.8868 2.00 0.9718 2.76 0.9947−3.31 0.0014 −2.55 0.0086 −1.79 0.0428 −1.03 0.1564 −0.27 0.3947 0.49 0.6858 1.25 0.8886 2.01 0.9723 2.77 0.9948−3.30 0.0015 −2.54 0.0088 −1.78 0.0436 −1.02 0.1587 −0.26 0.3985 0.50 0.6893 1.26 0.8903 2.02 0.9729 2.78 0.9949−3.29 0.0015 −2.53 0.0090 −1.77 0.0445 −1.01 0.1611 −0.25 0.4023 0.51 0.6927 1.27 0.8921 2.03 0.9734 2.79 0.9950−3.28 0.0015 −2.52 0.0092 −1.76 0.0453 −1.00 0.1634 −0.24 0.4061 0.52 0.6962 1.28 0.8939 2.04 0.9740 2.80 0.9951−3.27 0.0016 −2.51 0.0095 −1.75 0.0462 −0.99 0.1658 −0.23 0.4100 0.53 0.6996 1.29 0.8956 2.05 0.9745 2.81 0.9953−3.26 0.0016 −2.50 0.0097 −1.74 0.0471 −0.98 0.1682 −0.22 0.4138 0.54 0.7030 1.30 0.8973 2.06 0.9750 2.82 0.9954−3.25 0.0016 −2.49 0.0099 −1.73 0.0480 −0.97 0.1707 −0.21 0.4177 0.55 0.7064 1.31 0.8989 2.07 0.9755 2.83 0.9955−3.24 0.0017 −2.48 0.0101 −1.72 0.0489 −0.96 0.1731 −0.20 0.4215 0.56 0.7098 1.32 0.9006 2.08 0.9760 2.84 0.9956−3.23 0.0017 −2.47 0.0103 −1.71 0.0498 −0.95 0.1756 −0.19 0.4254 0.57 0.7131 1.33 0.9022 2.09 0.9765 2.85 0.9957−3.22 0.0018 −2.46 0.0106 −1.70 0.0508 −0.94 0.1781 −0.18 0.4293 0.58 0.7164 1.34 0.9039 2.10 0.9770 2.86 0.9958−3.21 0.0018 −2.45 0.0108 −1.69 0.0517 −0.93 0.1806 −0.17 0.4332 0.59 0.7198 1.35 0.9054 2.11 0.9775 2.87 0.9959−3.20 0.0019 −2.44 0.0111 −1.68 0.0527 −0.92 0.1832 −0.16 0.4371 0.60 0.7230 1.36 0.9070 2.12 0.9779 2.88 0.9960−3.19 0.0019 −2.43 0.0113 −1.67 0.0537 −0.91 0.1858 −0.15 0.4410 0.61 0.7263 1.37 0.9086 2.13 0.9784 2.89 0.9961−3.18 0.0020 −2.42 0.0116 −1.66 0.0547 −0.90 0.1884 −0.14 0.4449 0.62 0.7296 1.38 0.9101 2.14 0.9788 2.90 0.9962−3.17 0.0020 −2.41 0.0118 −1.65 0.0557 −0.89 0.1910 −0.13 0.4488 0.63 0.7328 1.39 0.9116 2.15 0.9793 2.91 0.9963−3.16 0.0020 −2.40 0.0121 −1.64 0.0568 −0.88 0.1936 −0.12 0.4527 0.64 0.7360 1.40 0.9131 2.16 0.9797 2.92 0.9963−3.15 0.0021 −2.39 0.0124 −1.63 0.0578 −0.87 0.1963 −0.11 0.4566 0.65 0.7392 1.41 0.9146 2.17 0.9801 2.93 0.9964−3.14 0.0022 −2.38 0.0126 −1.62 0.0589 −0.86 0.1990 −0.10 0.4606 0.66 0.7424 1.42 0.9160 2.18 0.9806 2.94 0.9965−3.13 0.0022 −2.37 0.0129 −1.61 0.0600 −0.85 0.2017 −0.09 0.4645 0.67 0.7455 1.43 0.9175 2.19 0.9810 2.95 0.9966−3.12 0.0023 −2.36 0.0132 −1.60 0.0611 −0.84 0.2044 −0.08 0.4684 0.68 0.7486 1.44 0.9189 2.20 0.9814 2.96 0.9967−3.11 0.0023 −2.35 0.0135 −1.59 0.0622 −0.83 0.2072 −0.07 0.4724 0.69 0.7517 1.45 0.9203 2.21 0.9818 2.97 0.9968−3.10 0.0024 −2.34 0.0138 −1.58 0.0633 −0.82 0.2100 −0.06 0.4763 0.70 0.7548 1.46 0.9216 2.22 0.9821 2.98 0.9968−3.09 0.0024 −2.33 0.0141 −1.57 0.0645 −0.81 0.2128 −0.05 0.4803 0.71 0.7579 1.47 0.9230 2.23 0.9825 2.99 0.9969−3.08 0.0025 −2.32 0.0144 −1.56 0.0657 −0.80 0.2156 −0.04 0.4842 0.72 0.7609 1.48 0.9243 2.24 0.9829 3.00 0.9970−3.07 0.0026 −2.31 0.0147 −1.55 0.0669 −0.79 0.2185 −0.03 0.4882 0.73 0.7639 1.49 0.9256 2.25 0.9833 3.01 0.9971−3.06 0.0026 −2.30 0.0150 −1.54 0.0681 −0.78 0.2214 −0.02 0.4921 0.74 0.7669 1.50 0.9269 2.26 0.9836 3.02 0.9971−3.05 0.0027 −2.29 0.0154 −1.53 0.0693 −0.77 0.2243 −0.01 0.4961 0.75 0.7699 1.51 0.9282 2.27 0.9840 3.03 0.9972−3.04 0.0027 −2.28 0.0157 −1.52 0.0705 −0.76 0.2272 0.00 0.5000 0.76 0.7728 1.52 0.9295 2.28 0.9843 3.04 0.9973−3.03 0.0028 −2.27 0.0160 −1.51 0.0718 −0.75 0.2301 0.01 0.5039 0.77 0.7757 1.53 0.9307 2.29 0.9846 3.05 0.9973−3.02 0.0029 −2.26 0.0164 −1.50 0.0731 −0.74 0.2331 0.02 0.5079 0.78 0.7786 1.54 0.9319 2.30 0.9850 3.06 0.9974−3.01 0.0029 −2.25 0.0167 −1.49 0.0744 −0.73 0.2361 0.03 0.5118 0.79 0.7815 1.55 0.9331 2.31 0.9853 3.07 0.9974−3.00 0.0030 −2.24 0.0171 −1.48 0.0757 −0.72 0.2391 0.04 0.5158 0.80 0.7844 1.56 0.9343 2.32 0.9856 3.08 0.9975−2.99 0.0031 −2.23 0.0175 −1.47 0.0770 −0.71 0.2421 0.05 0.5197 0.81 0.7872 1.57 0.9355 2.33 0.9859 3.09 0.9976−2.98 0.0032 −2.22 0.0179 −1.46 0.0784 −0.70 0.2452 0.06 0.5237 0.82 0.7900 1.58 0.9367 2.34 0.9862 3.10 0.9976−2.97 0.0032 −2.21 0.0182 −1.45 0.0797 −0.69 0.2483 0.07 0.5276 0.83 0.7928 1.59 0.9378 2.35 0.9865 3.11 0.9977−2.96 0.0033 −2.20 0.0186 −1.44 0.0811 −0.68 0.2514 0.08 0.5316 0.84 0.7956 1.60 0.9389 2.36 0.9868 3.12 0.9977−2.95 0.0034 −2.19 0.0190 −1.43 0.0825 −0.67 0.2545 0.09 0.5355 0.85 0.7983 1.61 0.9400 2.37 0.9871 3.13 0.9978−2.94 0.0035 −2.18 0.0194 −1.42 0.0840 −0.66 0.2576 0.10 0.5394 0.86 0.8010 1.62 0.9411 2.38 0.9874 3.14 0.9978−2.93 0.0036 −2.17 0.0199 −1.41 0.0854 −0.65 0.2608 0.11 0.5434 0.87 0.8037 1.63 0.9422 2.39 0.9876 3.15 0.9979−2.92 0.0037 −2.16 0.0203 −1.40 0.0869 −0.64 0.2640 0.12 0.5473 0.88 0.8064 1.64 0.9432 2.40 0.9879 3.16 0.9980−2.91 0.0037 −2.15 0.0207 −1.39 0.0884 −0.63 0.2672 0.13 0.5512 0.89 0.8090 1.65 0.9443 2.41 0.9882 3.17 0.9980−2.90 0.0038 −2.14 0.0212 −1.38 0.0899 −0.62 0.2704 0.14 0.5551 0.90 0.8116 1.66 0.9453 2.42 0.9884 3.18 0.9980−2.89 0.0039 −2.13 0.0216 −1.37 0.0914 −0.61 0.2737 0.15 0.5590 0.91 0.8142 1.67 0.9463 2.43 0.9887 3.19 0.9981−2.88 0.0040 −2.12 0.0221 −1.36 0.0930 −0.60 0.2770 0.16 0.5629 0.92 0.8168 1.68 0.9473 2.44 0.9889 3.20 0.9981−2.87 0.0041 −2.11 0.0225 −1.35 0.0946 −0.59 0.2802 0.17 0.5668 0.93 0.8194 1.69 0.9483 2.45 0.9892 3.21 0.9982−2.86 0.0042 −2.10 0.0230 −1.34 0.0961 −0.58 0.2836 0.18 0.5707 0.94 0.8219 1.70 0.9492 2.46 0.9894 3.22 0.9982−2.85 0.0043 −2.09 0.0235 −1.33 0.0978 −0.57 0.2869 0.19 0.5746 0.95 0.8244 1.71 0.9502 2.47 0.9897 3.23 0.9983−2.84 0.0044 −2.08 0.0240 −1.32 0.0994 −0.56 0.2902 0.20 0.5785 0.96 0.8269 1.72 0.9511 2.48 0.9899 3.24 0.9983−2.83 0.0045 −2.07 0.0245 −1.31 0.1011 −0.55 0.2936 0.21 0.5823 0.97 0.8293 1.73 0.9520 2.49 0.9901 3.25 0.9984−2.82 0.0046 −2.06 0.0250 −1.30 0.1027 −0.54 0.2970 0.22 0.5862 0.98 0.8318 1.74 0.9529 2.50 0.9903 3.26 0.9984−2.81 0.0047 −2.05 0.0255 −1.29 0.1044 −0.53 0.3004 0.23 0.5900 0.99 0.8342 1.75 0.9538 2.51 0.9905 3.27 0.9984−2.80 0.0049 −2.04 0.0260 −1.28 0.1061 −0.52 0.3038 0.24 0.5939 1.00 0.8366 1.76 0.9547 2.52 0.9908 3.28 0.9985−2.79 0.0050 −2.03 0.0266 −1.27 0.1079 −0.51 0.3073 0.25 0.5977 1.01 0.8389 1.77 0.9555 2.53 0.9910 3.29 0.9985−2.78 0.0051 −2.02 0.0271 −1.26 0.1097 −0.50 0.3107 0.26 0.6015 1.02 0.8413 1.78 0.9564 2.54 0.9912 3.30 0.9985−2.77 0.0052 −2.01 0.0277 −1.25 0.1114 −0.49 0.3142 0.27 0.6053 1.03 0.8436 1.79 0.9572 2.55 0.9914 3.31 0.9986−2.76 0.0053 −2.00 0.0282 −1.24 0.1132 −0.48 0.3177 0.28 0.6091 1.04 0.8459 1.80 0.9580 2.56 0.9916 3.32 0.9986−2.75 0.0055 −1.99 0.0288 −1.23 0.1151 −0.47 0.3212 0.29 0.6129 1.05 0.8481 1.81 0.9588 2.57 0.9917 3.33 0.9987−2.74 0.0056 −1.98 0.0294 −1.22 0.1169 −0.46 0.3247 0.30 0.6167 1.06 0.8504 1.82 0.9596 2.58 0.9919 3.34 0.9987−2.73 0.0057 −1.97 0.0300 −1.21 0.1188 −0.45 0.3283 0.31 0.6204 1.07 0.8526 1.83 0.9604 2.59 0.9921 3.35 0.9987−2.72 0.0059 −1.96 0.0306 −1.20 0.1207 −0.44 0.3319 0.32 0.6242 1.08 0.8548 1.84 0.9612 2.60 0.9923 3.36 0.9987−2.71 0.0060 −1.95 0.0312 −1.19 0.1226 −0.43 0.3354 0.33 0.6279 1.09 0.8569 1.85 0.9619 2.61 0.9925 3.37 0.9988−2.70 0.0061 −1.94 0.0319 −1.18 0.1246 −0.42 0.3390 0.34 0.6317 1.10 0.8591 1.86 0.9627 2.62 0.9926 3.38 0.9988−2.69 0.0063 −1.93 0.0325 −1.17 0.1265 −0.41 0.3426 0.35 0.6354 1.11 0.8612 1.87 0.9634 2.63 0.9928 3.39 0.9988−2.68 0.0064 −1.92 0.0332 −1.16 0.1285 −0.40 0.3463 0.36 0.6391 1.12 0.8633 1.88 0.9641 2.64 0.9930 3.40 0.9989−2.67 0.0066 −1.91 0.0338 −1.15 0.1305 −0.39 0.3499 0.37 0.6428 1.13 0.8654 1.89 0.9648 2.65 0.9931 3.41 0.9989−2.66 0.0067 −1.90 0.0345 −1.14 0.1325 −0.38 0.3536 0.38 0.6464 1.14 0.8675 1.90 0.9655 2.66 0.9933 3.42 0.9989−2.65 0.0069 −1.89 0.0352 −1.13 0.1346 −0.37 0.3572 0.39 0.6501 1.15 0.8695 1.91 0.9662 2.67 0.9934 3.43 0.9989

Area Under t-distribution to the Left of t =x− µs/√n

26 degree(s) of freedom−3.40 0.0011 −2.64 0.0069 −1.88 0.0357 −1.12 0.1365 −0.36 0.3609 0.40 0.6538 1.16 0.8717 1.92 0.9671 2.68 0.9937−3.39 0.0011 −2.63 0.0071 −1.87 0.0364 −1.11 0.1386 −0.35 0.3646 0.41 0.6574 1.17 0.8737 1.93 0.9677 2.69 0.9938−3.38 0.0011 −2.62 0.0072 −1.86 0.0371 −1.10 0.1407 −0.34 0.3683 0.42 0.6610 1.18 0.8757 1.94 0.9684 2.70 0.9940−3.37 0.0012 −2.61 0.0074 −1.85 0.0379 −1.09 0.1429 −0.33 0.3720 0.43 0.6646 1.19 0.8776 1.95 0.9690 2.71 0.9941−3.36 0.0012 −2.60 0.0076 −1.84 0.0386 −1.08 0.1450 −0.32 0.3758 0.44 0.6682 1.20 0.8795 1.96 0.9696 2.72 0.9943−3.35 0.0012 −2.59 0.0078 −1.83 0.0394 −1.07 0.1472 −0.31 0.3795 0.45 0.6718 1.21 0.8814 1.97 0.9702 2.73 0.9944−3.34 0.0013 −2.58 0.0079 −1.82 0.0401 −1.06 0.1494 −0.30 0.3833 0.46 0.6753 1.22 0.8833 1.98 0.9708 2.74 0.9945−3.33 0.0013 −2.57 0.0081 −1.81 0.0409 −1.05 0.1517 −0.29 0.3871 0.47 0.6789 1.23 0.8851 1.99 0.9714 2.75 0.9946−3.32 0.0013 −2.56 0.0083 −1.80 0.0417 −1.04 0.1540 −0.28 0.3908 0.48 0.6824 1.24 0.8870 2.00 0.9720 2.76 0.9948−3.31 0.0014 −2.55 0.0085 −1.79 0.0426 −1.03 0.1562 −0.27 0.3946 0.49 0.6859 1.25 0.8888 2.01 0.9725 2.77 0.9949−3.30 0.0014 −2.54 0.0087 −1.78 0.0434 −1.02 0.1586 −0.26 0.3985 0.50 0.6894 1.26 0.8906 2.02 0.9731 2.78 0.9950−3.29 0.0014 −2.53 0.0089 −1.77 0.0442 −1.01 0.1609 −0.25 0.4023 0.51 0.6928 1.27 0.8923 2.03 0.9736 2.79 0.9951−3.28 0.0015 −2.52 0.0091 −1.76 0.0451 −1.00 0.1633 −0.24 0.4061 0.52 0.6963 1.28 0.8941 2.04 0.9742 2.80 0.9952−3.27 0.0015 −2.51 0.0093 −1.75 0.0460 −0.99 0.1656 −0.23 0.4099 0.53 0.6997 1.29 0.8958 2.05 0.9747 2.81 0.9954−3.26 0.0016 −2.50 0.0095 −1.74 0.0468 −0.98 0.1681 −0.22 0.4138 0.54 0.7031 1.30 0.8975 2.06 0.9752 2.82 0.9955−3.25 0.0016 −2.49 0.0097 −1.73 0.0477 −0.97 0.1705 −0.21 0.4177 0.55 0.7065 1.31 0.8992 2.07 0.9757 2.83 0.9956−3.24 0.0016 −2.48 0.0100 −1.72 0.0487 −0.96 0.1729 −0.20 0.4215 0.56 0.7099 1.32 0.9008 2.08 0.9762 2.84 0.9957−3.23 0.0017 −2.47 0.0102 −1.71 0.0496 −0.95 0.1754 −0.19 0.4254 0.57 0.7132 1.33 0.9025 2.09 0.9767 2.85 0.9958−3.22 0.0017 −2.46 0.0104 −1.70 0.0505 −0.94 0.1779 −0.18 0.4293 0.58 0.7165 1.34 0.9041 2.10 0.9772 2.86 0.9959−3.21 0.0018 −2.45 0.0107 −1.69 0.0515 −0.93 0.1805 −0.17 0.4332 0.59 0.7199 1.35 0.9057 2.11 0.9777 2.87 0.9960−3.20 0.0018 −2.44 0.0109 −1.68 0.0525 −0.92 0.1830 −0.16 0.4371 0.60 0.7231 1.36 0.9072 2.12 0.9781 2.88 0.9961−3.19 0.0018 −2.43 0.0112 −1.67 0.0535 −0.91 0.1856 −0.15 0.4410 0.61 0.7264 1.37 0.9088 2.13 0.9786 2.89 0.9962−3.18 0.0019 −2.42 0.0114 −1.66 0.0545 −0.90 0.1882 −0.14 0.4449 0.62 0.7297 1.38 0.9103 2.14 0.9790 2.90 0.9963−3.17 0.0019 −2.41 0.0117 −1.65 0.0555 −0.89 0.1908 −0.13 0.4488 0.63 0.7329 1.39 0.9118 2.15 0.9795 2.91 0.9963−3.16 0.0020 −2.40 0.0119 −1.64 0.0565 −0.88 0.1935 −0.12 0.4527 0.64 0.7361 1.40 0.9133 2.16 0.9799 2.92 0.9964−3.15 0.0020 −2.39 0.0122 −1.63 0.0576 −0.87 0.1961 −0.11 0.4566 0.65 0.7393 1.41 0.9148 2.17 0.9803 2.93 0.9965−3.14 0.0021 −2.38 0.0125 −1.62 0.0586 −0.86 0.1988 −0.10 0.4606 0.66 0.7425 1.42 0.9163 2.18 0.9807 2.94 0.9966−3.13 0.0021 −2.37 0.0127 −1.61 0.0597 −0.85 0.2015 −0.09 0.4645 0.67 0.7456 1.43 0.9177 2.19 0.9812 2.95 0.9967−3.12 0.0022 −2.36 0.0130 −1.60 0.0608 −0.84 0.2043 −0.08 0.4684 0.68 0.7487 1.44 0.9191 2.20 0.9816 2.96 0.9968−3.11 0.0022 −2.35 0.0133 −1.59 0.0620 −0.83 0.2070 −0.07 0.4724 0.69 0.7518 1.45 0.9205 2.21 0.9819 2.97 0.9968−3.10 0.0023 −2.34 0.0136 −1.58 0.0631 −0.82 0.2098 −0.06 0.4763 0.70 0.7549 1.46 0.9219 2.22 0.9823 2.98 0.9969−3.09 0.0024 −2.33 0.0139 −1.57 0.0643 −0.81 0.2126 −0.05 0.4803 0.71 0.7580 1.47 0.9232 2.23 0.9827 2.99 0.9970−3.08 0.0024 −2.32 0.0142 −1.56 0.0654 −0.80 0.2155 −0.04 0.4842 0.72 0.7610 1.48 0.9246 2.24 0.9831 3.00 0.9971−3.07 0.0025 −2.31 0.0145 −1.55 0.0666 −0.79 0.2183 −0.03 0.4881 0.73 0.7640 1.49 0.9259 2.25 0.9834 3.01 0.9971−3.06 0.0025 −2.30 0.0149 −1.54 0.0678 −0.78 0.2212 −0.02 0.4921 0.74 0.7670 1.50 0.9272 2.26 0.9838 3.02 0.9972−3.05 0.0026 −2.29 0.0152 −1.53 0.0690 −0.77 0.2241 −0.01 0.4960 0.75 0.7700 1.51 0.9284 2.27 0.9841 3.03 0.9973−3.04 0.0027 −2.28 0.0155 −1.52 0.0703 −0.76 0.2270 0.00 0.5000 0.76 0.7730 1.52 0.9297 2.28 0.9845 3.04 0.9973−3.03 0.0027 −2.27 0.0159 −1.51 0.0716 −0.75 0.2300 0.01 0.5040 0.77 0.7759 1.53 0.9310 2.29 0.9848 3.05 0.9974−3.02 0.0028 −2.26 0.0162 −1.50 0.0728 −0.74 0.2330 0.02 0.5079 0.78 0.7788 1.54 0.9322 2.30 0.9851 3.06 0.9975−3.01 0.0029 −2.25 0.0166 −1.49 0.0741 −0.73 0.2360 0.03 0.5119 0.79 0.7817 1.55 0.9334 2.31 0.9855 3.07 0.9975−3.00 0.0029 −2.24 0.0169 −1.48 0.0754 −0.72 0.2390 0.04 0.5158 0.80 0.7845 1.56 0.9346 2.32 0.9858 3.08 0.9976−2.99 0.0030 −2.23 0.0173 −1.47 0.0768 −0.71 0.2420 0.05 0.5197 0.81 0.7874 1.57 0.9357 2.33 0.9861 3.09 0.9976−2.98 0.0031 −2.22 0.0177 −1.46 0.0781 −0.70 0.2451 0.06 0.5237 0.82 0.7902 1.58 0.9369 2.34 0.9864 3.10 0.9977−2.97 0.0032 −2.21 0.0181 −1.45 0.0795 −0.69 0.2482 0.07 0.5276 0.83 0.7930 1.59 0.9380 2.35 0.9867 3.11 0.9978−2.96 0.0032 −2.20 0.0184 −1.44 0.0809 −0.68 0.2513 0.08 0.5316 0.84 0.7957 1.60 0.9392 2.36 0.9870 3.12 0.9978−2.95 0.0033 −2.19 0.0188 −1.43 0.0823 −0.67 0.2544 0.09 0.5355 0.85 0.7985 1.61 0.9403 2.37 0.9873 3.13 0.9979−2.94 0.0034 −2.18 0.0193 −1.42 0.0837 −0.66 0.2575 0.10 0.5394 0.86 0.8012 1.62 0.9414 2.38 0.9875 3.14 0.9979−2.93 0.0035 −2.17 0.0197 −1.41 0.0852 −0.65 0.2607 0.11 0.5434 0.87 0.8039 1.63 0.9424 2.39 0.9878 3.15 0.9980−2.92 0.0036 −2.16 0.0201 −1.40 0.0867 −0.64 0.2639 0.12 0.5473 0.88 0.8065 1.64 0.9435 2.40 0.9881 3.16 0.9980−2.91 0.0037 −2.15 0.0205 −1.39 0.0882 −0.63 0.2671 0.13 0.5512 0.89 0.8092 1.65 0.9445 2.41 0.9883 3.17 0.9981−2.90 0.0037 −2.14 0.0210 −1.38 0.0897 −0.62 0.2703 0.14 0.5551 0.90 0.8118 1.66 0.9455 2.42 0.9886 3.18 0.9981−2.89 0.0038 −2.13 0.0214 −1.37 0.0912 −0.61 0.2736 0.15 0.5590 0.91 0.8144 1.67 0.9465 2.43 0.9888 3.19 0.9982−2.88 0.0039 −2.12 0.0219 −1.36 0.0928 −0.60 0.2769 0.16 0.5629 0.92 0.8170 1.68 0.9475 2.44 0.9891 3.20 0.9982−2.87 0.0040 −2.11 0.0223 −1.35 0.0943 −0.59 0.2801 0.17 0.5668 0.93 0.8195 1.69 0.9485 2.45 0.9893 3.21 0.9982−2.86 0.0041 −2.10 0.0228 −1.34 0.0959 −0.58 0.2835 0.18 0.5707 0.94 0.8221 1.70 0.9495 2.46 0.9896 3.22 0.9983−2.85 0.0042 −2.09 0.0233 −1.33 0.0975 −0.57 0.2868 0.19 0.5746 0.95 0.8246 1.71 0.9504 2.47 0.9898 3.23 0.9983−2.84 0.0043 −2.08 0.0238 −1.32 0.0992 −0.56 0.2901 0.20 0.5785 0.96 0.8271 1.72 0.9513 2.48 0.9900 3.24 0.9984−2.83 0.0044 −2.07 0.0243 −1.31 0.1008 −0.55 0.2935 0.21 0.5823 0.97 0.8295 1.73 0.9523 2.49 0.9903 3.25 0.9984−2.82 0.0045 −2.06 0.0248 −1.30 0.1025 −0.54 0.2969 0.22 0.5862 0.98 0.8319 1.74 0.9532 2.50 0.9905 3.26 0.9984−2.81 0.0046 −2.05 0.0253 −1.29 0.1042 −0.53 0.3003 0.23 0.5901 0.99 0.8344 1.75 0.9540 2.51 0.9907 3.27 0.9985−2.80 0.0048 −2.04 0.0258 −1.28 0.1059 −0.52 0.3037 0.24 0.5939 1.00 0.8367 1.76 0.9549 2.52 0.9909 3.28 0.9985−2.79 0.0049 −2.03 0.0264 −1.27 0.1077 −0.51 0.3072 0.25 0.5977 1.01 0.8391 1.77 0.9558 2.53 0.9911 3.29 0.9986−2.78 0.0050 −2.02 0.0269 −1.26 0.1094 −0.50 0.3106 0.26 0.6015 1.02 0.8414 1.78 0.9566 2.54 0.9913 3.30 0.9986−2.77 0.0051 −2.01 0.0275 −1.25 0.1112 −0.49 0.3141 0.27 0.6054 1.03 0.8438 1.79 0.9574 2.55 0.9915 3.31 0.9986−2.76 0.0052 −2.00 0.0280 −1.24 0.1130 −0.48 0.3176 0.28 0.6092 1.04 0.8460 1.80 0.9583 2.56 0.9917 3.32 0.9987−2.75 0.0054 −1.99 0.0286 −1.23 0.1149 −0.47 0.3211 0.29 0.6129 1.05 0.8483 1.81 0.9591 2.57 0.9919 3.33 0.9987−2.74 0.0055 −1.98 0.0292 −1.22 0.1167 −0.46 0.3247 0.30 0.6167 1.06 0.8506 1.82 0.9599 2.58 0.9921 3.34 0.9987−2.73 0.0056 −1.97 0.0298 −1.21 0.1186 −0.45 0.3282 0.31 0.6205 1.07 0.8528 1.83 0.9606 2.59 0.9922 3.35 0.9988−2.72 0.0057 −1.96 0.0304 −1.20 0.1205 −0.44 0.3318 0.32 0.6242 1.08 0.8550 1.84 0.9614 2.60 0.9924 3.36 0.9988−2.71 0.0059 −1.95 0.0310 −1.19 0.1224 −0.43 0.3354 0.33 0.6280 1.09 0.8571 1.85 0.9621 2.61 0.9926 3.37 0.9988−2.70 0.0060 −1.94 0.0316 −1.18 0.1243 −0.42 0.3390 0.34 0.6317 1.10 0.8593 1.86 0.9629 2.62 0.9928 3.38 0.9989−2.69 0.0062 −1.93 0.0323 −1.17 0.1263 −0.41 0.3426 0.35 0.6354 1.11 0.8614 1.87 0.9636 2.63 0.9929 3.39 0.9989−2.68 0.0063 −1.92 0.0329 −1.16 0.1283 −0.40 0.3462 0.36 0.6391 1.12 0.8635 1.88 0.9643 2.64 0.9931 3.40 0.9989−2.67 0.0065 −1.91 0.0336 −1.15 0.1303 −0.39 0.3499 0.37 0.6428 1.13 0.8656 1.89 0.9650 2.65 0.9932 3.41 0.9989−2.66 0.0066 −1.90 0.0343 −1.14 0.1323 −0.38 0.3535 0.38 0.6465 1.14 0.8677 1.90 0.9657 2.66 0.9934 3.42 0.9990−2.65 0.0068 −1.89 0.0350 −1.13 0.1344 −0.37 0.3572 0.39 0.6501 1.15 0.8697 1.91 0.9664 2.67 0.9935 3.43 0.9990

Area Under t-distribution to the Left of t =x− µs/√n

27 degree(s) of freedom−3.40 0.0011 −2.64 0.0068 −1.88 0.0355 −1.12 0.1363 −0.36 0.3608 0.40 0.6538 1.16 0.8719 1.92 0.9673 2.68 0.9938−3.39 0.0011 −2.63 0.0070 −1.87 0.0362 −1.11 0.1384 −0.35 0.3645 0.41 0.6575 1.17 0.8739 1.93 0.9679 2.69 0.9939−3.38 0.0011 −2.62 0.0071 −1.86 0.0369 −1.10 0.1405 −0.34 0.3682 0.42 0.6611 1.18 0.8759 1.94 0.9686 2.70 0.9941−3.37 0.0011 −2.61 0.0073 −1.85 0.0376 −1.09 0.1427 −0.33 0.3720 0.43 0.6647 1.19 0.8778 1.95 0.9692 2.71 0.9942−3.36 0.0012 −2.60 0.0075 −1.84 0.0384 −1.08 0.1448 −0.32 0.3757 0.44 0.6683 1.20 0.8797 1.96 0.9698 2.72 0.9944−3.35 0.0012 −2.59 0.0076 −1.83 0.0392 −1.07 0.1470 −0.31 0.3795 0.45 0.6718 1.21 0.8816 1.97 0.9704 2.73 0.9945−3.34 0.0012 −2.58 0.0078 −1.82 0.0399 −1.06 0.1493 −0.30 0.3832 0.46 0.6754 1.22 0.8835 1.98 0.9710 2.74 0.9946−3.33 0.0013 −2.57 0.0080 −1.81 0.0407 −1.05 0.1515 −0.29 0.3870 0.47 0.6789 1.23 0.8853 1.99 0.9716 2.75 0.9947−3.32 0.0013 −2.56 0.0082 −1.80 0.0415 −1.04 0.1538 −0.28 0.3908 0.48 0.6825 1.24 0.8872 2.00 0.9722 2.76 0.9949−3.31 0.0013 −2.55 0.0084 −1.79 0.0423 −1.03 0.1561 −0.27 0.3946 0.49 0.6860 1.25 0.8890 2.01 0.9727 2.77 0.9950−3.30 0.0014 −2.54 0.0086 −1.78 0.0432 −1.02 0.1584 −0.26 0.3984 0.50 0.6894 1.26 0.8908 2.02 0.9733 2.78 0.9951−3.29 0.0014 −2.53 0.0088 −1.77 0.0440 −1.01 0.1607 −0.25 0.4022 0.51 0.6929 1.27 0.8925 2.03 0.9738 2.79 0.9952−3.28 0.0014 −2.52 0.0090 −1.76 0.0449 −1.00 0.1631 −0.24 0.4061 0.52 0.6963 1.28 0.8943 2.04 0.9744 2.80 0.9953−3.27 0.0015 −2.51 0.0092 −1.75 0.0457 −0.99 0.1655 −0.23 0.4099 0.53 0.6998 1.29 0.8960 2.05 0.9749 2.81 0.9954−3.26 0.0015 −2.50 0.0094 −1.74 0.0466 −0.98 0.1679 −0.22 0.4138 0.54 0.7032 1.30 0.8977 2.06 0.9754 2.82 0.9956−3.25 0.0015 −2.49 0.0096 −1.73 0.0475 −0.97 0.1703 −0.21 0.4176 0.55 0.7066 1.31 0.8994 2.07 0.9759 2.83 0.9957−3.24 0.0016 −2.48 0.0098 −1.72 0.0484 −0.96 0.1728 −0.20 0.4215 0.56 0.7100 1.32 0.9010 2.08 0.9764 2.84 0.9958−3.23 0.0016 −2.47 0.0101 −1.71 0.0494 −0.95 0.1753 −0.19 0.4254 0.57 0.7133 1.33 0.9027 2.09 0.9769 2.85 0.9959−3.22 0.0017 −2.46 0.0103 −1.70 0.0503 −0.94 0.1778 −0.18 0.4292 0.58 0.7166 1.34 0.9043 2.10 0.9774 2.86 0.9960−3.21 0.0017 −2.45 0.0105 −1.69 0.0513 −0.93 0.1803 −0.17 0.4331 0.59 0.7200 1.35 0.9059 2.11 0.9779 2.87 0.9961−3.20 0.0017 −2.44 0.0108 −1.68 0.0522 −0.92 0.1829 −0.16 0.4370 0.60 0.7232 1.36 0.9075 2.12 0.9783 2.88 0.9962−3.19 0.0018 −2.43 0.0110 −1.67 0.0532 −0.91 0.1854 −0.15 0.4409 0.61 0.7265 1.37 0.9090 2.13 0.9788 2.89 0.9962−3.18 0.0018 −2.42 0.0113 −1.66 0.0542 −0.90 0.1880 −0.14 0.4448 0.62 0.7298 1.38 0.9105 2.14 0.9792 2.90 0.9963−3.17 0.0019 −2.41 0.0115 −1.65 0.0553 −0.89 0.1907 −0.13 0.4488 0.63 0.7330 1.39 0.9121 2.15 0.9797 2.91 0.9964−3.16 0.0019 −2.40 0.0118 −1.64 0.0563 −0.88 0.1933 −0.12 0.4527 0.64 0.7362 1.40 0.9136 2.16 0.9801 2.92 0.9965−3.15 0.0020 −2.39 0.0120 −1.63 0.0574 −0.87 0.1960 −0.11 0.4566 0.65 0.7394 1.41 0.9150 2.17 0.9805 2.93 0.9966−3.14 0.0020 −2.38 0.0123 −1.62 0.0584 −0.86 0.1987 −0.10 0.4605 0.66 0.7426 1.42 0.9165 2.18 0.9809 2.94 0.9967−3.13 0.0021 −2.37 0.0126 −1.61 0.0595 −0.85 0.2014 −0.09 0.4645 0.67 0.7457 1.43 0.9179 2.19 0.9813 2.95 0.9968−3.12 0.0021 −2.36 0.0129 −1.60 0.0606 −0.84 0.2041 −0.08 0.4684 0.68 0.7489 1.44 0.9193 2.20 0.9817 2.96 0.9968−3.11 0.0022 −2.35 0.0132 −1.59 0.0617 −0.83 0.2069 −0.07 0.4724 0.69 0.7520 1.45 0.9207 2.21 0.9821 2.97 0.9969−3.10 0.0022 −2.34 0.0135 −1.58 0.0629 −0.82 0.2097 −0.06 0.4763 0.70 0.7550 1.46 0.9221 2.22 0.9825 2.98 0.9970−3.09 0.0023 −2.33 0.0138 −1.57 0.0640 −0.81 0.2125 −0.05 0.4802 0.71 0.7581 1.47 0.9234 2.23 0.9829 2.99 0.9971−3.08 0.0024 −2.32 0.0141 −1.56 0.0652 −0.80 0.2153 −0.04 0.4842 0.72 0.7611 1.48 0.9248 2.24 0.9832 3.00 0.9971−3.07 0.0024 −2.31 0.0144 −1.55 0.0664 −0.79 0.2182 −0.03 0.4881 0.73 0.7642 1.49 0.9261 2.25 0.9836 3.01 0.9972−3.06 0.0025 −2.30 0.0147 −1.54 0.0676 −0.78 0.2211 −0.02 0.4921 0.74 0.7672 1.50 0.9274 2.26 0.9840 3.02 0.9973−3.05 0.0025 −2.29 0.0150 −1.53 0.0688 −0.77 0.2240 −0.01 0.4960 0.75 0.7701 1.51 0.9287 2.27 0.9843 3.03 0.9973−3.04 0.0026 −2.28 0.0154 −1.52 0.0701 −0.76 0.2269 0.00 0.5000 0.76 0.7731 1.52 0.9299 2.28 0.9846 3.04 0.9974−3.03 0.0027 −2.27 0.0157 −1.51 0.0713 −0.75 0.2299 0.01 0.5040 0.77 0.7760 1.53 0.9312 2.29 0.9850 3.05 0.9975−3.02 0.0027 −2.26 0.0160 −1.50 0.0726 −0.74 0.2328 0.02 0.5079 0.78 0.7789 1.54 0.9324 2.30 0.9853 3.06 0.9975−3.01 0.0028 −2.25 0.0164 −1.49 0.0739 −0.73 0.2358 0.03 0.5119 0.79 0.7818 1.55 0.9336 2.31 0.9856 3.07 0.9976−3.00 0.0029 −2.24 0.0168 −1.48 0.0752 −0.72 0.2389 0.04 0.5158 0.80 0.7847 1.56 0.9348 2.32 0.9859 3.08 0.9976−2.99 0.0029 −2.23 0.0171 −1.47 0.0766 −0.71 0.2419 0.05 0.5198 0.81 0.7875 1.57 0.9360 2.33 0.9862 3.09 0.9977−2.98 0.0030 −2.22 0.0175 −1.46 0.0779 −0.70 0.2450 0.06 0.5237 0.82 0.7903 1.58 0.9371 2.34 0.9865 3.10 0.9978−2.97 0.0031 −2.21 0.0179 −1.45 0.0793 −0.69 0.2480 0.07 0.5276 0.83 0.7931 1.59 0.9383 2.35 0.9868 3.11 0.9978−2.96 0.0032 −2.20 0.0183 −1.44 0.0807 −0.68 0.2511 0.08 0.5316 0.84 0.7959 1.60 0.9394 2.36 0.9871 3.12 0.9979−2.95 0.0032 −2.19 0.0187 −1.43 0.0821 −0.67 0.2543 0.09 0.5355 0.85 0.7986 1.61 0.9405 2.37 0.9874 3.13 0.9979−2.94 0.0033 −2.18 0.0191 −1.42 0.0835 −0.66 0.2574 0.10 0.5395 0.86 0.8013 1.62 0.9416 2.38 0.9877 3.14 0.9980−2.93 0.0034 −2.17 0.0195 −1.41 0.0850 −0.65 0.2606 0.11 0.5434 0.87 0.8040 1.63 0.9426 2.39 0.9880 3.15 0.9980−2.92 0.0035 −2.16 0.0199 −1.40 0.0864 −0.64 0.2638 0.12 0.5473 0.88 0.8067 1.64 0.9437 2.40 0.9882 3.16 0.9981−2.91 0.0036 −2.15 0.0203 −1.39 0.0879 −0.63 0.2670 0.13 0.5512 0.89 0.8093 1.65 0.9447 2.41 0.9885 3.17 0.9981−2.90 0.0037 −2.14 0.0208 −1.38 0.0895 −0.62 0.2702 0.14 0.5552 0.90 0.8120 1.66 0.9458 2.42 0.9887 3.18 0.9982−2.89 0.0038 −2.13 0.0212 −1.37 0.0910 −0.61 0.2735 0.15 0.5591 0.91 0.8146 1.67 0.9468 2.43 0.9890 3.19 0.9982−2.88 0.0038 −2.12 0.0217 −1.36 0.0925 −0.60 0.2768 0.16 0.5630 0.92 0.8171 1.68 0.9478 2.44 0.9892 3.20 0.9983−2.87 0.0039 −2.11 0.0221 −1.35 0.0941 −0.59 0.2800 0.17 0.5669 0.93 0.8197 1.69 0.9487 2.45 0.9895 3.21 0.9983−2.86 0.0040 −2.10 0.0226 −1.34 0.0957 −0.58 0.2834 0.18 0.5708 0.94 0.8222 1.70 0.9497 2.46 0.9897 3.22 0.9983−2.85 0.0041 −2.09 0.0231 −1.33 0.0973 −0.57 0.2867 0.19 0.5746 0.95 0.8247 1.71 0.9506 2.47 0.9899 3.23 0.9984−2.84 0.0042 −2.08 0.0236 −1.32 0.0990 −0.56 0.2900 0.20 0.5785 0.96 0.8272 1.72 0.9516 2.48 0.9902 3.24 0.9984−2.83 0.0043 −2.07 0.0241 −1.31 0.1006 −0.55 0.2934 0.21 0.5824 0.97 0.8297 1.73 0.9525 2.49 0.9904 3.25 0.9985−2.82 0.0044 −2.06 0.0246 −1.30 0.1023 −0.54 0.2968 0.22 0.5862 0.98 0.8321 1.74 0.9534 2.50 0.9906 3.26 0.9985−2.81 0.0046 −2.05 0.0251 −1.29 0.1040 −0.53 0.3002 0.23 0.5901 0.99 0.8345 1.75 0.9543 2.51 0.9908 3.27 0.9985−2.80 0.0047 −2.04 0.0256 −1.28 0.1057 −0.52 0.3037 0.24 0.5939 1.00 0.8369 1.76 0.9551 2.52 0.9910 3.28 0.9986−2.79 0.0048 −2.03 0.0262 −1.27 0.1075 −0.51 0.3071 0.25 0.5978 1.01 0.8393 1.77 0.9560 2.53 0.9912 3.29 0.9986−2.78 0.0049 −2.02 0.0267 −1.26 0.1092 −0.50 0.3106 0.26 0.6016 1.02 0.8416 1.78 0.9568 2.54 0.9914 3.30 0.9986−2.77 0.0050 −2.01 0.0273 −1.25 0.1110 −0.49 0.3140 0.27 0.6054 1.03 0.8439 1.79 0.9577 2.55 0.9916 3.31 0.9987−2.76 0.0051 −2.00 0.0278 −1.24 0.1128 −0.48 0.3175 0.28 0.6092 1.04 0.8462 1.80 0.9585 2.56 0.9918 3.32 0.9987−2.75 0.0053 −1.99 0.0284 −1.23 0.1147 −0.47 0.3211 0.29 0.6130 1.05 0.8485 1.81 0.9593 2.57 0.9920 3.33 0.9987−2.74 0.0054 −1.98 0.0290 −1.22 0.1165 −0.46 0.3246 0.30 0.6168 1.06 0.8507 1.82 0.9601 2.58 0.9922 3.34 0.9988−2.73 0.0055 −1.97 0.0296 −1.21 0.1184 −0.45 0.3282 0.31 0.6205 1.07 0.8530 1.83 0.9608 2.59 0.9924 3.35 0.9988−2.72 0.0056 −1.96 0.0302 −1.20 0.1203 −0.44 0.3317 0.32 0.6243 1.08 0.8552 1.84 0.9616 2.60 0.9925 3.36 0.9988−2.71 0.0058 −1.95 0.0308 −1.19 0.1222 −0.43 0.3353 0.33 0.6280 1.09 0.8573 1.85 0.9624 2.61 0.9927 3.37 0.9989−2.70 0.0059 −1.94 0.0314 −1.18 0.1241 −0.42 0.3389 0.34 0.6318 1.10 0.8595 1.86 0.9631 2.62 0.9929 3.38 0.9989−2.69 0.0061 −1.93 0.0321 −1.17 0.1261 −0.41 0.3425 0.35 0.6355 1.11 0.8616 1.87 0.9638 2.63 0.9930 3.39 0.9989−2.68 0.0062 −1.92 0.0327 −1.16 0.1281 −0.40 0.3462 0.36 0.6392 1.12 0.8637 1.88 0.9645 2.64 0.9932 3.40 0.9989−2.67 0.0063 −1.91 0.0334 −1.15 0.1301 −0.39 0.3498 0.37 0.6429 1.13 0.8658 1.89 0.9652 2.65 0.9934 3.41 0.9990−2.66 0.0065 −1.90 0.0341 −1.14 0.1321 −0.38 0.3535 0.38 0.6465 1.14 0.8679 1.90 0.9659 2.66 0.9935 3.42 0.9990−2.65 0.0066 −1.89 0.0348 −1.13 0.1342 −0.37 0.3571 0.39 0.6502 1.15 0.8699 1.91 0.9666 2.67 0.9937 3.43 0.9990

Area Under t-distribution to the Left of t =x− µs/√n

28 degree(s) of freedom−3.40 0.0010 −2.64 0.0067 −1.88 0.0353 −1.12 0.1361 −0.36 0.3608 0.40 0.6539 1.16 0.8721 1.92 0.9675 2.68 0.9939−3.39 0.0010 −2.63 0.0069 −1.87 0.0360 −1.11 0.1382 −0.35 0.3645 0.41 0.6575 1.17 0.8741 1.93 0.9681 2.69 0.9940−3.38 0.0011 −2.62 0.0070 −1.86 0.0367 −1.10 0.1403 −0.34 0.3682 0.42 0.6612 1.18 0.8760 1.94 0.9687 2.70 0.9942−3.37 0.0011 −2.61 0.0072 −1.85 0.0374 −1.09 0.1425 −0.33 0.3719 0.43 0.6648 1.19 0.8780 1.95 0.9694 2.71 0.9943−3.36 0.0011 −2.60 0.0074 −1.84 0.0382 −1.08 0.1447 −0.32 0.3757 0.44 0.6683 1.20 0.8799 1.96 0.9700 2.72 0.9945−3.35 0.0012 −2.59 0.0075 −1.83 0.0390 −1.07 0.1469 −0.31 0.3794 0.45 0.6719 1.21 0.8818 1.97 0.9706 2.73 0.9946−3.34 0.0012 −2.58 0.0077 −1.82 0.0397 −1.06 0.1491 −0.30 0.3832 0.46 0.6755 1.22 0.8837 1.98 0.9712 2.74 0.9947−3.33 0.0012 −2.57 0.0079 −1.81 0.0405 −1.05 0.1513 −0.29 0.3870 0.47 0.6790 1.23 0.8855 1.99 0.9718 2.75 0.9948−3.32 0.0013 −2.56 0.0081 −1.80 0.0413 −1.04 0.1536 −0.28 0.3908 0.48 0.6825 1.24 0.8874 2.00 0.9724 2.76 0.9950−3.31 0.0013 −2.55 0.0083 −1.79 0.0421 −1.03 0.1559 −0.27 0.3946 0.49 0.6860 1.25 0.8892 2.01 0.9729 2.77 0.9951−3.30 0.0013 −2.54 0.0085 −1.78 0.0430 −1.02 0.1582 −0.26 0.3984 0.50 0.6895 1.26 0.8910 2.02 0.9735 2.78 0.9952−3.29 0.0014 −2.53 0.0087 −1.77 0.0438 −1.01 0.1606 −0.25 0.4022 0.51 0.6930 1.27 0.8927 2.03 0.9740 2.79 0.9953−3.28 0.0014 −2.52 0.0089 −1.76 0.0447 −1.00 0.1629 −0.24 0.4060 0.52 0.6964 1.28 0.8945 2.04 0.9746 2.80 0.9954−3.27 0.0014 −2.51 0.0091 −1.75 0.0455 −0.99 0.1653 −0.23 0.4099 0.53 0.6999 1.29 0.8962 2.05 0.9751 2.81 0.9955−3.26 0.0015 −2.50 0.0093 −1.74 0.0464 −0.98 0.1677 −0.22 0.4137 0.54 0.7033 1.30 0.8979 2.06 0.9756 2.82 0.9956−3.25 0.0015 −2.49 0.0095 −1.73 0.0473 −0.97 0.1702 −0.21 0.4176 0.55 0.7067 1.31 0.8996 2.07 0.9761 2.83 0.9957−3.24 0.0015 −2.48 0.0097 −1.72 0.0482 −0.96 0.1726 −0.20 0.4215 0.56 0.7100 1.32 0.9012 2.08 0.9766 2.84 0.9958−3.23 0.0016 −2.47 0.0099 −1.71 0.0492 −0.95 0.1751 −0.19 0.4253 0.57 0.7134 1.33 0.9029 2.09 0.9771 2.85 0.9959−3.22 0.0016 −2.46 0.0102 −1.70 0.0501 −0.94 0.1776 −0.18 0.4292 0.58 0.7167 1.34 0.9045 2.10 0.9776 2.86 0.9960−3.21 0.0017 −2.45 0.0104 −1.69 0.0511 −0.93 0.1802 −0.17 0.4331 0.59 0.7200 1.35 0.9061 2.11 0.9780 2.87 0.9961−3.20 0.0017 −2.44 0.0106 −1.68 0.0520 −0.92 0.1827 −0.16 0.4370 0.60 0.7233 1.36 0.9077 2.12 0.9785 2.88 0.9962−3.19 0.0017 −2.43 0.0109 −1.67 0.0530 −0.91 0.1853 −0.15 0.4409 0.61 0.7266 1.37 0.9092 2.13 0.9790 2.89 0.9963−3.18 0.0018 −2.42 0.0111 −1.66 0.0540 −0.90 0.1879 −0.14 0.4448 0.62 0.7299 1.38 0.9107 2.14 0.9794 2.90 0.9964−3.17 0.0018 −2.41 0.0114 −1.65 0.0551 −0.89 0.1905 −0.13 0.4487 0.63 0.7331 1.39 0.9123 2.15 0.9798 2.91 0.9965−3.16 0.0019 −2.40 0.0116 −1.64 0.0561 −0.88 0.1932 −0.12 0.4527 0.64 0.7363 1.40 0.9138 2.16 0.9803 2.92 0.9966−3.15 0.0019 −2.39 0.0119 −1.63 0.0572 −0.87 0.1958 −0.11 0.4566 0.65 0.7395 1.41 0.9152 2.17 0.9807 2.93 0.9967−3.14 0.0020 −2.38 0.0122 −1.62 0.0582 −0.86 0.1985 −0.10 0.4605 0.66 0.7427 1.42 0.9167 2.18 0.9811 2.94 0.9967−3.13 0.0020 −2.37 0.0125 −1.61 0.0593 −0.85 0.2013 −0.09 0.4645 0.67 0.7458 1.43 0.9181 2.19 0.9815 2.95 0.9968−3.12 0.0021 −2.36 0.0127 −1.60 0.0604 −0.84 0.2040 −0.08 0.4684 0.68 0.7490 1.44 0.9195 2.20 0.9819 2.96 0.9969−3.11 0.0021 −2.35 0.0130 −1.59 0.0615 −0.83 0.2068 −0.07 0.4723 0.69 0.7521 1.45 0.9209 2.21 0.9823 2.97 0.9970−3.10 0.0022 −2.34 0.0133 −1.58 0.0627 −0.82 0.2096 −0.06 0.4763 0.70 0.7551 1.46 0.9223 2.22 0.9827 2.98 0.9970−3.09 0.0022 −2.33 0.0136 −1.57 0.0638 −0.81 0.2124 −0.05 0.4802 0.71 0.7582 1.47 0.9236 2.23 0.9830 2.99 0.9971−3.08 0.0023 −2.32 0.0139 −1.56 0.0650 −0.80 0.2152 −0.04 0.4842 0.72 0.7613 1.48 0.9250 2.24 0.9834 3.00 0.9972−3.07 0.0024 −2.31 0.0142 −1.55 0.0662 −0.79 0.2181 −0.03 0.4881 0.73 0.7643 1.49 0.9263 2.25 0.9838 3.01 0.9973−3.06 0.0024 −2.30 0.0146 −1.54 0.0674 −0.78 0.2210 −0.02 0.4921 0.74 0.7673 1.50 0.9276 2.26 0.9841 3.02 0.9973−3.05 0.0025 −2.29 0.0149 −1.53 0.0686 −0.77 0.2239 −0.01 0.4960 0.75 0.7702 1.51 0.9289 2.27 0.9844 3.03 0.9974−3.04 0.0025 −2.28 0.0152 −1.52 0.0699 −0.76 0.2268 0.00 0.5000 0.76 0.7732 1.52 0.9301 2.28 0.9848 3.04 0.9975−3.03 0.0026 −2.27 0.0156 −1.51 0.0711 −0.75 0.2298 0.01 0.5040 0.77 0.7761 1.53 0.9314 2.29 0.9851 3.05 0.9975−3.02 0.0027 −2.26 0.0159 −1.50 0.0724 −0.74 0.2327 0.02 0.5079 0.78 0.7790 1.54 0.9326 2.30 0.9854 3.06 0.9976−3.01 0.0027 −2.25 0.0162 −1.49 0.0737 −0.73 0.2357 0.03 0.5119 0.79 0.7819 1.55 0.9338 2.31 0.9858 3.07 0.9976−3.00 0.0028 −2.24 0.0166 −1.48 0.0750 −0.72 0.2387 0.04 0.5158 0.80 0.7848 1.56 0.9350 2.32 0.9861 3.08 0.9977−2.99 0.0029 −2.23 0.0170 −1.47 0.0764 −0.71 0.2418 0.05 0.5198 0.81 0.7876 1.57 0.9362 2.33 0.9864 3.09 0.9978−2.98 0.0030 −2.22 0.0173 −1.46 0.0777 −0.70 0.2449 0.06 0.5237 0.82 0.7904 1.58 0.9373 2.34 0.9867 3.10 0.9978−2.97 0.0030 −2.21 0.0177 −1.45 0.0791 −0.69 0.2479 0.07 0.5277 0.83 0.7932 1.59 0.9385 2.35 0.9870 3.11 0.9979−2.96 0.0031 −2.20 0.0181 −1.44 0.0805 −0.68 0.2510 0.08 0.5316 0.84 0.7960 1.60 0.9396 2.36 0.9873 3.12 0.9979−2.95 0.0032 −2.19 0.0185 −1.43 0.0819 −0.67 0.2542 0.09 0.5355 0.85 0.7987 1.61 0.9407 2.37 0.9875 3.13 0.9980−2.94 0.0033 −2.18 0.0189 −1.42 0.0833 −0.66 0.2573 0.10 0.5395 0.86 0.8015 1.62 0.9418 2.38 0.9878 3.14 0.9980−2.93 0.0033 −2.17 0.0193 −1.41 0.0848 −0.65 0.2605 0.11 0.5434 0.87 0.8042 1.63 0.9428 2.39 0.9881 3.15 0.9981−2.92 0.0034 −2.16 0.0197 −1.40 0.0862 −0.64 0.2637 0.12 0.5473 0.88 0.8068 1.64 0.9439 2.40 0.9884 3.16 0.9981−2.91 0.0035 −2.15 0.0202 −1.39 0.0877 −0.63 0.2669 0.13 0.5513 0.89 0.8095 1.65 0.9449 2.41 0.9886 3.17 0.9982−2.90 0.0036 −2.14 0.0206 −1.38 0.0893 −0.62 0.2701 0.14 0.5552 0.90 0.8121 1.66 0.9460 2.42 0.9889 3.18 0.9982−2.89 0.0037 −2.13 0.0210 −1.37 0.0908 −0.61 0.2734 0.15 0.5591 0.91 0.8147 1.67 0.9470 2.43 0.9891 3.19 0.9983−2.88 0.0038 −2.12 0.0215 −1.36 0.0923 −0.60 0.2767 0.16 0.5630 0.92 0.8173 1.68 0.9480 2.44 0.9894 3.20 0.9983−2.87 0.0039 −2.11 0.0220 −1.35 0.0939 −0.59 0.2800 0.17 0.5669 0.93 0.8198 1.69 0.9489 2.45 0.9896 3.21 0.9983−2.86 0.0040 −2.10 0.0224 −1.34 0.0955 −0.58 0.2833 0.18 0.5708 0.94 0.8224 1.70 0.9499 2.46 0.9898 3.22 0.9984−2.85 0.0041 −2.09 0.0229 −1.33 0.0971 −0.57 0.2866 0.19 0.5747 0.95 0.8249 1.71 0.9508 2.47 0.9901 3.23 0.9984−2.84 0.0042 −2.08 0.0234 −1.32 0.0988 −0.56 0.2900 0.20 0.5785 0.96 0.8274 1.72 0.9518 2.48 0.9903 3.24 0.9985−2.83 0.0043 −2.07 0.0239 −1.31 0.1004 −0.55 0.2933 0.21 0.5824 0.97 0.8298 1.73 0.9527 2.49 0.9905 3.25 0.9985−2.82 0.0044 −2.06 0.0244 −1.30 0.1021 −0.54 0.2967 0.22 0.5863 0.98 0.8323 1.74 0.9536 2.50 0.9907 3.26 0.9985−2.81 0.0045 −2.05 0.0249 −1.29 0.1038 −0.53 0.3001 0.23 0.5901 0.99 0.8347 1.75 0.9545 2.51 0.9909 3.27 0.9986−2.80 0.0046 −2.04 0.0254 −1.28 0.1055 −0.52 0.3036 0.24 0.5940 1.00 0.8371 1.76 0.9553 2.52 0.9911 3.28 0.9986−2.79 0.0047 −2.03 0.0260 −1.27 0.1073 −0.51 0.3070 0.25 0.5978 1.01 0.8394 1.77 0.9562 2.53 0.9913 3.29 0.9986−2.78 0.0048 −2.02 0.0265 −1.26 0.1090 −0.50 0.3105 0.26 0.6016 1.02 0.8418 1.78 0.9570 2.54 0.9915 3.30 0.9987−2.77 0.0049 −2.01 0.0271 −1.25 0.1108 −0.49 0.3140 0.27 0.6054 1.03 0.8441 1.79 0.9579 2.55 0.9917 3.31 0.9987−2.76 0.0050 −2.00 0.0276 −1.24 0.1126 −0.48 0.3175 0.28 0.6092 1.04 0.8464 1.80 0.9587 2.56 0.9919 3.32 0.9987−2.75 0.0052 −1.99 0.0282 −1.23 0.1145 −0.47 0.3210 0.29 0.6130 1.05 0.8487 1.81 0.9595 2.57 0.9921 3.33 0.9988−2.74 0.0053 −1.98 0.0288 −1.22 0.1163 −0.46 0.3245 0.30 0.6168 1.06 0.8509 1.82 0.9603 2.58 0.9923 3.34 0.9988−2.73 0.0054 −1.97 0.0294 −1.21 0.1182 −0.45 0.3281 0.31 0.6206 1.07 0.8531 1.83 0.9610 2.59 0.9925 3.35 0.9988−2.72 0.0055 −1.96 0.0300 −1.20 0.1201 −0.44 0.3317 0.32 0.6243 1.08 0.8553 1.84 0.9618 2.60 0.9926 3.36 0.9989−2.71 0.0057 −1.95 0.0306 −1.19 0.1220 −0.43 0.3352 0.33 0.6281 1.09 0.8575 1.85 0.9626 2.61 0.9928 3.37 0.9989−2.70 0.0058 −1.94 0.0313 −1.18 0.1240 −0.42 0.3388 0.34 0.6318 1.10 0.8597 1.86 0.9633 2.62 0.9930 3.38 0.9989−2.69 0.0060 −1.93 0.0319 −1.17 0.1259 −0.41 0.3425 0.35 0.6355 1.11 0.8618 1.87 0.9640 2.63 0.9931 3.39 0.9990−2.68 0.0061 −1.92 0.0325 −1.16 0.1279 −0.40 0.3461 0.36 0.6392 1.12 0.8639 1.88 0.9647 2.64 0.9933 3.40 0.9990−2.67 0.0062 −1.91 0.0332 −1.15 0.1299 −0.39 0.3497 0.37 0.6429 1.13 0.8660 1.89 0.9654 2.65 0.9935 3.41 0.9990−2.66 0.0064 −1.90 0.0339 −1.14 0.1320 −0.38 0.3534 0.38 0.6466 1.14 0.8680 1.90 0.9661 2.66 0.9936 3.42 0.9990−2.65 0.0065 −1.89 0.0346 −1.13 0.1340 −0.37 0.3571 0.39 0.6503 1.15 0.8701 1.91 0.9668 2.67 0.9938 3.43 0.9991

Area Under t-distribution to the Left of t =x− µs/√n

29 degree(s) of freedom−3.40 0.0010 −2.64 0.0066 −1.88 0.0351 −1.12 0.1360 −0.36 0.3607 0.40 0.6540 1.16 0.8722 1.92 0.9676 2.68 0.9940−3.39 0.0010 −2.63 0.0068 −1.87 0.0358 −1.11 0.1381 −0.35 0.3644 0.41 0.6576 1.17 0.8742 1.93 0.9683 2.69 0.9941−3.38 0.0010 −2.62 0.0069 −1.86 0.0365 −1.10 0.1402 −0.34 0.3682 0.42 0.6612 1.18 0.8762 1.94 0.9689 2.70 0.9943−3.37 0.0011 −2.61 0.0071 −1.85 0.0373 −1.09 0.1423 −0.33 0.3719 0.43 0.6648 1.19 0.8782 1.95 0.9695 2.71 0.9944−3.36 0.0011 −2.60 0.0073 −1.84 0.0380 −1.08 0.1445 −0.32 0.3756 0.44 0.6684 1.20 0.8801 1.96 0.9702 2.72 0.9945−3.35 0.0011 −2.59 0.0074 −1.83 0.0388 −1.07 0.1467 −0.31 0.3794 0.45 0.6720 1.21 0.8820 1.97 0.9708 2.73 0.9947−3.34 0.0012 −2.58 0.0076 −1.82 0.0395 −1.06 0.1489 −0.30 0.3832 0.46 0.6755 1.22 0.8839 1.98 0.9714 2.74 0.9948−3.33 0.0012 −2.57 0.0078 −1.81 0.0403 −1.05 0.1512 −0.29 0.3869 0.47 0.6791 1.23 0.8857 1.99 0.9720 2.75 0.9949−3.32 0.0012 −2.56 0.0080 −1.80 0.0411 −1.04 0.1535 −0.28 0.3907 0.48 0.6826 1.24 0.8875 2.00 0.9725 2.76 0.9950−3.31 0.0013 −2.55 0.0082 −1.79 0.0420 −1.03 0.1558 −0.27 0.3945 0.49 0.6861 1.25 0.8894 2.01 0.9731 2.77 0.9952−3.30 0.0013 −2.54 0.0084 −1.78 0.0428 −1.02 0.1581 −0.26 0.3984 0.50 0.6896 1.26 0.8911 2.02 0.9736 2.78 0.9953−3.29 0.0013 −2.53 0.0085 −1.77 0.0436 −1.01 0.1604 −0.25 0.4022 0.51 0.6930 1.27 0.8929 2.03 0.9742 2.79 0.9954−3.28 0.0014 −2.52 0.0087 −1.76 0.0445 −1.00 0.1628 −0.24 0.4060 0.52 0.6965 1.28 0.8947 2.04 0.9747 2.80 0.9955−3.27 0.0014 −2.51 0.0090 −1.75 0.0453 −0.99 0.1652 −0.23 0.4099 0.53 0.6999 1.29 0.8964 2.05 0.9752 2.81 0.9956−3.26 0.0014 −2.50 0.0092 −1.74 0.0462 −0.98 0.1676 −0.22 0.4137 0.54 0.7033 1.30 0.8981 2.06 0.9758 2.82 0.9957−3.25 0.0015 −2.49 0.0094 −1.73 0.0471 −0.97 0.1700 −0.21 0.4176 0.55 0.7067 1.31 0.8998 2.07 0.9763 2.83 0.9958−3.24 0.0015 −2.48 0.0096 −1.72 0.0480 −0.96 0.1725 −0.20 0.4214 0.56 0.7101 1.32 0.9014 2.08 0.9768 2.84 0.9959−3.23 0.0015 −2.47 0.0098 −1.71 0.0490 −0.95 0.1750 −0.19 0.4253 0.57 0.7135 1.33 0.9031 2.09 0.9773 2.85 0.9960−3.22 0.0016 −2.46 0.0100 −1.70 0.0499 −0.94 0.1775 −0.18 0.4292 0.58 0.7168 1.34 0.9047 2.10 0.9777 2.86 0.9961−3.21 0.0016 −2.45 0.0103 −1.69 0.0509 −0.93 0.1800 −0.17 0.4331 0.59 0.7201 1.35 0.9063 2.11 0.9782 2.87 0.9962−3.20 0.0017 −2.44 0.0105 −1.68 0.0519 −0.92 0.1826 −0.16 0.4370 0.60 0.7234 1.36 0.9078 2.12 0.9787 2.88 0.9963−3.19 0.0017 −2.43 0.0108 −1.67 0.0528 −0.91 0.1852 −0.15 0.4409 0.61 0.7267 1.37 0.9094 2.13 0.9791 2.89 0.9964−3.18 0.0017 −2.42 0.0110 −1.66 0.0538 −0.90 0.1878 −0.14 0.4448 0.62 0.7300 1.38 0.9109 2.14 0.9796 2.90 0.9965−3.17 0.0018 −2.41 0.0113 −1.65 0.0549 −0.89 0.1904 −0.13 0.4487 0.63 0.7332 1.39 0.9124 2.15 0.9800 2.91 0.9966−3.16 0.0018 −2.40 0.0115 −1.64 0.0559 −0.88 0.1930 −0.12 0.4527 0.64 0.7364 1.40 0.9139 2.16 0.9804 2.92 0.9966−3.15 0.0019 −2.39 0.0118 −1.63 0.0570 −0.87 0.1957 −0.11 0.4566 0.65 0.7396 1.41 0.9154 2.17 0.9808 2.93 0.9967−3.14 0.0019 −2.38 0.0121 −1.62 0.0580 −0.86 0.1984 −0.10 0.4605 0.66 0.7428 1.42 0.9169 2.18 0.9812 2.94 0.9968−3.13 0.0020 −2.37 0.0123 −1.61 0.0591 −0.85 0.2011 −0.09 0.4645 0.67 0.7459 1.43 0.9183 2.19 0.9816 2.95 0.9969−3.12 0.0020 −2.36 0.0126 −1.60 0.0602 −0.84 0.2039 −0.08 0.4684 0.68 0.7491 1.44 0.9197 2.20 0.9820 2.96 0.9970−3.11 0.0021 −2.35 0.0129 −1.59 0.0613 −0.83 0.2067 −0.07 0.4723 0.69 0.7522 1.45 0.9211 2.21 0.9824 2.97 0.9970−3.10 0.0021 −2.34 0.0132 −1.58 0.0625 −0.82 0.2095 −0.06 0.4763 0.70 0.7552 1.46 0.9225 2.22 0.9828 2.98 0.9971−3.09 0.0022 −2.33 0.0135 −1.57 0.0636 −0.81 0.2123 −0.05 0.4802 0.71 0.7583 1.47 0.9238 2.23 0.9832 2.99 0.9972−3.08 0.0022 −2.32 0.0138 −1.56 0.0648 −0.80 0.2151 −0.04 0.4842 0.72 0.7614 1.48 0.9252 2.24 0.9835 3.00 0.9973−3.07 0.0023 −2.31 0.0141 −1.55 0.0660 −0.79 0.2180 −0.03 0.4881 0.73 0.7644 1.49 0.9265 2.25 0.9839 3.01 0.9973−3.06 0.0024 −2.30 0.0144 −1.54 0.0672 −0.78 0.2209 −0.02 0.4921 0.74 0.7674 1.50 0.9278 2.26 0.9842 3.02 0.9974−3.05 0.0024 −2.29 0.0147 −1.53 0.0684 −0.77 0.2238 −0.01 0.4960 0.75 0.7704 1.51 0.9291 2.27 0.9846 3.03 0.9974−3.04 0.0025 −2.28 0.0151 −1.52 0.0697 −0.76 0.2267 0.00 0.5000 0.76 0.7733 1.52 0.9303 2.28 0.9849 3.04 0.9975−3.03 0.0026 −2.27 0.0154 −1.51 0.0709 −0.75 0.2296 0.01 0.5040 0.77 0.7762 1.53 0.9316 2.29 0.9853 3.05 0.9976−3.02 0.0026 −2.26 0.0158 −1.50 0.0722 −0.74 0.2326 0.02 0.5079 0.78 0.7791 1.54 0.9328 2.30 0.9856 3.06 0.9976−3.01 0.0027 −2.25 0.0161 −1.49 0.0735 −0.73 0.2356 0.03 0.5119 0.79 0.7820 1.55 0.9340 2.31 0.9859 3.07 0.9977−3.00 0.0027 −2.24 0.0165 −1.48 0.0748 −0.72 0.2386 0.04 0.5158 0.80 0.7849 1.56 0.9352 2.32 0.9862 3.08 0.9978−2.99 0.0028 −2.23 0.0168 −1.47 0.0762 −0.71 0.2417 0.05 0.5198 0.81 0.7877 1.57 0.9364 2.33 0.9865 3.09 0.9978−2.98 0.0029 −2.22 0.0172 −1.46 0.0775 −0.70 0.2448 0.06 0.5237 0.82 0.7905 1.58 0.9375 2.34 0.9868 3.10 0.9979−2.97 0.0030 −2.21 0.0176 −1.45 0.0789 −0.69 0.2478 0.07 0.5277 0.83 0.7933 1.59 0.9387 2.35 0.9871 3.11 0.9979−2.96 0.0030 −2.20 0.0180 −1.44 0.0803 −0.68 0.2509 0.08 0.5316 0.84 0.7961 1.60 0.9398 2.36 0.9874 3.12 0.9980−2.95 0.0031 −2.19 0.0184 −1.43 0.0817 −0.67 0.2541 0.09 0.5355 0.85 0.7989 1.61 0.9409 2.37 0.9877 3.13 0.9980−2.94 0.0032 −2.18 0.0188 −1.42 0.0831 −0.66 0.2572 0.10 0.5395 0.86 0.8016 1.62 0.9420 2.38 0.9879 3.14 0.9981−2.93 0.0033 −2.17 0.0192 −1.41 0.0846 −0.65 0.2604 0.11 0.5434 0.87 0.8043 1.63 0.9430 2.39 0.9882 3.15 0.9981−2.92 0.0034 −2.16 0.0196 −1.40 0.0861 −0.64 0.2636 0.12 0.5473 0.88 0.8070 1.64 0.9441 2.40 0.9885 3.16 0.9982−2.91 0.0034 −2.15 0.0200 −1.39 0.0876 −0.63 0.2668 0.13 0.5513 0.89 0.8096 1.65 0.9451 2.41 0.9887 3.17 0.9982−2.90 0.0035 −2.14 0.0204 −1.38 0.0891 −0.62 0.2700 0.14 0.5552 0.90 0.8122 1.66 0.9462 2.42 0.9890 3.18 0.9983−2.89 0.0036 −2.13 0.0209 −1.37 0.0906 −0.61 0.2733 0.15 0.5591 0.91 0.8148 1.67 0.9472 2.43 0.9892 3.19 0.9983−2.88 0.0037 −2.12 0.0213 −1.36 0.0922 −0.60 0.2766 0.16 0.5630 0.92 0.8174 1.68 0.9481 2.44 0.9895 3.20 0.9983−2.87 0.0038 −2.11 0.0218 −1.35 0.0937 −0.59 0.2799 0.17 0.5669 0.93 0.8200 1.69 0.9491 2.45 0.9897 3.21 0.9984−2.86 0.0039 −2.10 0.0223 −1.34 0.0953 −0.58 0.2832 0.18 0.5708 0.94 0.8225 1.70 0.9501 2.46 0.9900 3.22 0.9984−2.85 0.0040 −2.09 0.0227 −1.33 0.0969 −0.57 0.2865 0.19 0.5747 0.95 0.8250 1.71 0.9510 2.47 0.9902 3.23 0.9985−2.84 0.0041 −2.08 0.0232 −1.32 0.0986 −0.56 0.2899 0.20 0.5786 0.96 0.8275 1.72 0.9520 2.48 0.9904 3.24 0.9985−2.83 0.0042 −2.07 0.0237 −1.31 0.1002 −0.55 0.2933 0.21 0.5824 0.97 0.8300 1.73 0.9529 2.49 0.9906 3.25 0.9985−2.82 0.0043 −2.06 0.0242 −1.30 0.1019 −0.54 0.2967 0.22 0.5863 0.98 0.8324 1.74 0.9538 2.50 0.9908 3.26 0.9986−2.81 0.0044 −2.05 0.0248 −1.29 0.1036 −0.53 0.3001 0.23 0.5901 0.99 0.8348 1.75 0.9547 2.51 0.9910 3.27 0.9986−2.80 0.0045 −2.04 0.0253 −1.28 0.1053 −0.52 0.3035 0.24 0.5940 1.00 0.8372 1.76 0.9555 2.52 0.9913 3.28 0.9986−2.79 0.0046 −2.03 0.0258 −1.27 0.1071 −0.51 0.3070 0.25 0.5978 1.01 0.8396 1.77 0.9564 2.53 0.9915 3.29 0.9987−2.78 0.0047 −2.02 0.0264 −1.26 0.1089 −0.50 0.3104 0.26 0.6016 1.02 0.8419 1.78 0.9572 2.54 0.9916 3.30 0.9987−2.77 0.0048 −2.01 0.0269 −1.25 0.1106 −0.49 0.3139 0.27 0.6055 1.03 0.8442 1.79 0.9580 2.55 0.9918 3.31 0.9987−2.76 0.0050 −2.00 0.0275 −1.24 0.1125 −0.48 0.3174 0.28 0.6093 1.04 0.8465 1.80 0.9589 2.56 0.9920 3.32 0.9988−2.75 0.0051 −1.99 0.0280 −1.23 0.1143 −0.47 0.3209 0.29 0.6131 1.05 0.8488 1.81 0.9597 2.57 0.9922 3.33 0.9988−2.74 0.0052 −1.98 0.0286 −1.22 0.1161 −0.46 0.3245 0.30 0.6168 1.06 0.8511 1.82 0.9605 2.58 0.9924 3.34 0.9988−2.73 0.0053 −1.97 0.0292 −1.21 0.1180 −0.45 0.3280 0.31 0.6206 1.07 0.8533 1.83 0.9612 2.59 0.9926 3.35 0.9989−2.72 0.0055 −1.96 0.0298 −1.20 0.1199 −0.44 0.3316 0.32 0.6244 1.08 0.8555 1.84 0.9620 2.60 0.9927 3.36 0.9989−2.71 0.0056 −1.95 0.0305 −1.19 0.1218 −0.43 0.3352 0.33 0.6281 1.09 0.8577 1.85 0.9627 2.61 0.9929 3.37 0.9989−2.70 0.0057 −1.94 0.0311 −1.18 0.1238 −0.42 0.3388 0.34 0.6318 1.10 0.8598 1.86 0.9635 2.62 0.9931 3.38 0.9990−2.69 0.0059 −1.93 0.0317 −1.17 0.1258 −0.41 0.3424 0.35 0.6356 1.11 0.8619 1.87 0.9642 2.63 0.9932 3.39 0.9990−2.68 0.0060 −1.92 0.0324 −1.16 0.1278 −0.40 0.3460 0.36 0.6393 1.12 0.8640 1.88 0.9649 2.64 0.9934 3.40 0.9990−2.67 0.0061 −1.91 0.0330 −1.15 0.1298 −0.39 0.3497 0.37 0.6430 1.13 0.8661 1.89 0.9656 2.65 0.9936 3.41 0.9990−2.66 0.0063 −1.90 0.0337 −1.14 0.1318 −0.38 0.3534 0.38 0.6466 1.14 0.8682 1.90 0.9663 2.66 0.9937 3.42 0.9991−2.65 0.0064 −1.89 0.0344 −1.13 0.1339 −0.37 0.3570 0.39 0.6503 1.15 0.8702 1.91 0.9670 2.67 0.9939 3.43 0.9991

Area Under t-distribution to the Left of t =x− µs/√n

30 degree(s) of freedom−3.40 0.0010 −2.64 0.0065 −1.88 0.0349 −1.12 0.1358 −0.36 0.3607 0.40 0.6540 1.16 0.8724 1.92 0.9678 2.68 0.9941−3.39 0.0010 −2.63 0.0067 −1.87 0.0356 −1.11 0.1379 −0.35 0.3644 0.41 0.6576 1.17 0.8744 1.93 0.9684 2.69 0.9942−3.38 0.0010 −2.62 0.0068 −1.86 0.0364 −1.10 0.1400 −0.34 0.3681 0.42 0.6613 1.18 0.8764 1.94 0.9691 2.70 0.9944−3.37 0.0010 −2.61 0.0070 −1.85 0.0371 −1.09 0.1422 −0.33 0.3718 0.43 0.6649 1.19 0.8783 1.95 0.9697 2.71 0.9945−3.36 0.0011 −2.60 0.0072 −1.84 0.0378 −1.08 0.1444 −0.32 0.3756 0.44 0.6685 1.20 0.8802 1.96 0.9703 2.72 0.9946−3.35 0.0011 −2.59 0.0073 −1.83 0.0386 −1.07 0.1466 −0.31 0.3794 0.45 0.6720 1.21 0.8821 1.97 0.9709 2.73 0.9948−3.34 0.0011 −2.58 0.0075 −1.82 0.0394 −1.06 0.1488 −0.30 0.3831 0.46 0.6756 1.22 0.8840 1.98 0.9715 2.74 0.9949−3.33 0.0012 −2.57 0.0077 −1.81 0.0402 −1.05 0.1511 −0.29 0.3869 0.47 0.6791 1.23 0.8859 1.99 0.9721 2.75 0.9950−3.32 0.0012 −2.56 0.0079 −1.80 0.0410 −1.04 0.1533 −0.28 0.3907 0.48 0.6826 1.24 0.8877 2.00 0.9727 2.76 0.9951−3.31 0.0012 −2.55 0.0081 −1.79 0.0418 −1.03 0.1556 −0.27 0.3945 0.49 0.6862 1.25 0.8895 2.01 0.9733 2.77 0.9952−3.30 0.0012 −2.54 0.0083 −1.78 0.0426 −1.02 0.1579 −0.26 0.3983 0.50 0.6896 1.26 0.8913 2.02 0.9738 2.78 0.9954−3.29 0.0013 −2.53 0.0084 −1.77 0.0434 −1.01 0.1603 −0.25 0.4021 0.51 0.6931 1.27 0.8931 2.03 0.9743 2.79 0.9955−3.28 0.0013 −2.52 0.0086 −1.76 0.0443 −1.00 0.1627 −0.24 0.4060 0.52 0.6966 1.28 0.8948 2.04 0.9749 2.80 0.9956−3.27 0.0014 −2.51 0.0088 −1.75 0.0452 −0.99 0.1650 −0.23 0.4098 0.53 0.7000 1.29 0.8965 2.05 0.9754 2.81 0.9957−3.26 0.0014 −2.50 0.0091 −1.74 0.0461 −0.98 0.1675 −0.22 0.4137 0.54 0.7034 1.30 0.8982 2.06 0.9759 2.82 0.9958−3.25 0.0014 −2.49 0.0093 −1.73 0.0470 −0.97 0.1699 −0.21 0.4175 0.55 0.7068 1.31 0.8999 2.07 0.9764 2.83 0.9959−3.24 0.0015 −2.48 0.0095 −1.72 0.0479 −0.96 0.1724 −0.20 0.4214 0.56 0.7102 1.32 0.9016 2.08 0.9769 2.84 0.9960−3.23 0.0015 −2.47 0.0097 −1.71 0.0488 −0.95 0.1749 −0.19 0.4253 0.57 0.7135 1.33 0.9032 2.09 0.9774 2.85 0.9961−3.22 0.0015 −2.46 0.0099 −1.70 0.0497 −0.94 0.1774 −0.18 0.4292 0.58 0.7169 1.34 0.9048 2.10 0.9779 2.86 0.9962−3.21 0.0016 −2.45 0.0102 −1.69 0.0507 −0.93 0.1799 −0.17 0.4331 0.59 0.7202 1.35 0.9064 2.11 0.9783 2.87 0.9963−3.20 0.0016 −2.44 0.0104 −1.68 0.0517 −0.92 0.1825 −0.16 0.4370 0.60 0.7235 1.36 0.9080 2.12 0.9788 2.88 0.9964−3.19 0.0017 −2.43 0.0106 −1.67 0.0527 −0.91 0.1850 −0.15 0.4409 0.61 0.7268 1.37 0.9096 2.13 0.9793 2.89 0.9965−3.18 0.0017 −2.42 0.0109 −1.66 0.0537 −0.90 0.1876 −0.14 0.4448 0.62 0.7300 1.38 0.9111 2.14 0.9797 2.90 0.9965−3.17 0.0017 −2.41 0.0111 −1.65 0.0547 −0.89 0.1903 −0.13 0.4487 0.63 0.7333 1.39 0.9126 2.15 0.9801 2.91 0.9966−3.16 0.0018 −2.40 0.0114 −1.64 0.0557 −0.88 0.1929 −0.12 0.4526 0.64 0.7365 1.40 0.9141 2.16 0.9806 2.92 0.9967−3.15 0.0018 −2.39 0.0117 −1.63 0.0568 −0.87 0.1956 −0.11 0.4566 0.65 0.7397 1.41 0.9156 2.17 0.9810 2.93 0.9968−3.14 0.0019 −2.38 0.0119 −1.62 0.0578 −0.86 0.1983 −0.10 0.4605 0.66 0.7429 1.42 0.9170 2.18 0.9814 2.94 0.9969−3.13 0.0019 −2.37 0.0122 −1.61 0.0589 −0.85 0.2010 −0.09 0.4644 0.67 0.7460 1.43 0.9185 2.19 0.9818 2.95 0.9969−3.12 0.0020 −2.36 0.0125 −1.60 0.0600 −0.84 0.2038 −0.08 0.4684 0.68 0.7491 1.44 0.9199 2.20 0.9822 2.96 0.9970−3.11 0.0020 −2.35 0.0128 −1.59 0.0612 −0.83 0.2065 −0.07 0.4723 0.69 0.7523 1.45 0.9213 2.21 0.9826 2.97 0.9971−3.10 0.0021 −2.34 0.0131 −1.58 0.0623 −0.82 0.2093 −0.06 0.4763 0.70 0.7553 1.46 0.9227 2.22 0.9829 2.98 0.9972−3.09 0.0021 −2.33 0.0134 −1.57 0.0635 −0.81 0.2122 −0.05 0.4802 0.71 0.7584 1.47 0.9240 2.23 0.9833 2.99 0.9972−3.08 0.0022 −2.32 0.0137 −1.56 0.0646 −0.80 0.2150 −0.04 0.4842 0.72 0.7615 1.48 0.9254 2.24 0.9837 3.00 0.9973−3.07 0.0023 −2.31 0.0140 −1.55 0.0658 −0.79 0.2179 −0.03 0.4881 0.73 0.7645 1.49 0.9267 2.25 0.9840 3.01 0.9974−3.06 0.0023 −2.30 0.0143 −1.54 0.0670 −0.78 0.2208 −0.02 0.4921 0.74 0.7675 1.50 0.9280 2.26 0.9844 3.02 0.9974−3.05 0.0024 −2.29 0.0146 −1.53 0.0682 −0.77 0.2237 −0.01 0.4960 0.75 0.7705 1.51 0.9292 2.27 0.9847 3.03 0.9975−3.04 0.0024 −2.28 0.0149 −1.52 0.0695 −0.76 0.2266 0.00 0.5000 0.76 0.7734 1.52 0.9305 2.28 0.9851 3.04 0.9976−3.03 0.0025 −2.27 0.0153 −1.51 0.0708 −0.75 0.2295 0.01 0.5040 0.77 0.7763 1.53 0.9318 2.29 0.9854 3.05 0.9976−3.02 0.0026 −2.26 0.0156 −1.50 0.0720 −0.74 0.2325 0.02 0.5079 0.78 0.7792 1.54 0.9330 2.30 0.9857 3.06 0.9977−3.01 0.0026 −2.25 0.0160 −1.49 0.0733 −0.73 0.2355 0.03 0.5119 0.79 0.7821 1.55 0.9342 2.31 0.9860 3.07 0.9977−3.00 0.0027 −2.24 0.0163 −1.48 0.0746 −0.72 0.2385 0.04 0.5158 0.80 0.7850 1.56 0.9354 2.32 0.9863 3.08 0.9978−2.99 0.0028 −2.23 0.0167 −1.47 0.0760 −0.71 0.2416 0.05 0.5198 0.81 0.7878 1.57 0.9365 2.33 0.9866 3.09 0.9979−2.98 0.0028 −2.22 0.0171 −1.46 0.0773 −0.70 0.2447 0.06 0.5237 0.82 0.7907 1.58 0.9377 2.34 0.9869 3.10 0.9979−2.97 0.0029 −2.21 0.0174 −1.45 0.0787 −0.69 0.2477 0.07 0.5277 0.83 0.7935 1.59 0.9388 2.35 0.9872 3.11 0.9980−2.96 0.0030 −2.20 0.0178 −1.44 0.0801 −0.68 0.2509 0.08 0.5316 0.84 0.7962 1.60 0.9400 2.36 0.9875 3.12 0.9980−2.95 0.0031 −2.19 0.0182 −1.43 0.0815 −0.67 0.2540 0.09 0.5356 0.85 0.7990 1.61 0.9411 2.37 0.9878 3.13 0.9981−2.94 0.0031 −2.18 0.0186 −1.42 0.0830 −0.66 0.2571 0.10 0.5395 0.86 0.8017 1.62 0.9422 2.38 0.9881 3.14 0.9981−2.93 0.0032 −2.17 0.0190 −1.41 0.0844 −0.65 0.2603 0.11 0.5434 0.87 0.8044 1.63 0.9432 2.39 0.9883 3.15 0.9982−2.92 0.0033 −2.16 0.0194 −1.40 0.0859 −0.64 0.2635 0.12 0.5474 0.88 0.8071 1.64 0.9443 2.40 0.9886 3.16 0.9982−2.91 0.0034 −2.15 0.0199 −1.39 0.0874 −0.63 0.2667 0.13 0.5513 0.89 0.8097 1.65 0.9453 2.41 0.9889 3.17 0.9983−2.90 0.0035 −2.14 0.0203 −1.38 0.0889 −0.62 0.2700 0.14 0.5552 0.90 0.8124 1.66 0.9463 2.42 0.9891 3.18 0.9983−2.89 0.0035 −2.13 0.0207 −1.37 0.0904 −0.61 0.2732 0.15 0.5591 0.91 0.8150 1.67 0.9473 2.43 0.9894 3.19 0.9983−2.88 0.0036 −2.12 0.0212 −1.36 0.0920 −0.60 0.2765 0.16 0.5630 0.92 0.8175 1.68 0.9483 2.44 0.9896 3.20 0.9984−2.87 0.0037 −2.11 0.0217 −1.35 0.0936 −0.59 0.2798 0.17 0.5669 0.93 0.8201 1.69 0.9493 2.45 0.9898 3.21 0.9984−2.86 0.0038 −2.10 0.0221 −1.34 0.0952 −0.58 0.2831 0.18 0.5708 0.94 0.8226 1.70 0.9503 2.46 0.9901 3.22 0.9985−2.85 0.0039 −2.09 0.0226 −1.33 0.0968 −0.57 0.2865 0.19 0.5747 0.95 0.8251 1.71 0.9512 2.47 0.9903 3.23 0.9985−2.84 0.0040 −2.08 0.0231 −1.32 0.0984 −0.56 0.2898 0.20 0.5786 0.96 0.8276 1.72 0.9521 2.48 0.9905 3.24 0.9985−2.83 0.0041 −2.07 0.0236 −1.31 0.1001 −0.55 0.2932 0.21 0.5825 0.97 0.8301 1.73 0.9530 2.49 0.9907 3.25 0.9986−2.82 0.0042 −2.06 0.0241 −1.30 0.1018 −0.54 0.2966 0.22 0.5863 0.98 0.8325 1.74 0.9539 2.50 0.9909 3.26 0.9986−2.81 0.0043 −2.05 0.0246 −1.29 0.1035 −0.53 0.3000 0.23 0.5902 0.99 0.8350 1.75 0.9548 2.51 0.9912 3.27 0.9986−2.80 0.0044 −2.04 0.0251 −1.28 0.1052 −0.52 0.3034 0.24 0.5940 1.00 0.8373 1.76 0.9557 2.52 0.9914 3.28 0.9987−2.79 0.0045 −2.03 0.0257 −1.27 0.1069 −0.51 0.3069 0.25 0.5979 1.01 0.8397 1.77 0.9566 2.53 0.9916 3.29 0.9987−2.78 0.0046 −2.02 0.0262 −1.26 0.1087 −0.50 0.3104 0.26 0.6017 1.02 0.8421 1.78 0.9574 2.54 0.9917 3.30 0.9988−2.77 0.0048 −2.01 0.0267 −1.25 0.1105 −0.49 0.3138 0.27 0.6055 1.03 0.8444 1.79 0.9582 2.55 0.9919 3.31 0.9988−2.76 0.0049 −2.00 0.0273 −1.24 0.1123 −0.48 0.3174 0.28 0.6093 1.04 0.8467 1.80 0.9590 2.56 0.9921 3.32 0.9988−2.75 0.0050 −1.99 0.0279 −1.23 0.1141 −0.47 0.3209 0.29 0.6131 1.05 0.8489 1.81 0.9598 2.57 0.9923 3.33 0.9988−2.74 0.0051 −1.98 0.0285 −1.22 0.1160 −0.46 0.3244 0.30 0.6169 1.06 0.8512 1.82 0.9606 2.58 0.9925 3.34 0.9989−2.73 0.0052 −1.97 0.0291 −1.21 0.1179 −0.45 0.3280 0.31 0.6206 1.07 0.8534 1.83 0.9614 2.59 0.9927 3.35 0.9989−2.72 0.0054 −1.96 0.0297 −1.20 0.1198 −0.44 0.3315 0.32 0.6244 1.08 0.8556 1.84 0.9622 2.60 0.9928 3.36 0.9989−2.71 0.0055 −1.95 0.0303 −1.19 0.1217 −0.43 0.3351 0.33 0.6282 1.09 0.8578 1.85 0.9629 2.61 0.9930 3.37 0.9990−2.70 0.0056 −1.94 0.0309 −1.18 0.1236 −0.42 0.3387 0.34 0.6319 1.10 0.8600 1.86 0.9636 2.62 0.9932 3.38 0.9990−2.69 0.0058 −1.93 0.0316 −1.17 0.1256 −0.41 0.3424 0.35 0.6356 1.11 0.8621 1.87 0.9644 2.63 0.9933 3.39 0.9990−2.68 0.0059 −1.92 0.0322 −1.16 0.1276 −0.40 0.3460 0.36 0.6393 1.12 0.8642 1.88 0.9651 2.64 0.9935 3.40 0.9990−2.67 0.0061 −1.91 0.0329 −1.15 0.1296 −0.39 0.3496 0.37 0.6430 1.13 0.8663 1.89 0.9658 2.65 0.9936 3.41 0.9991−2.66 0.0062 −1.90 0.0335 −1.14 0.1317 −0.38 0.3533 0.38 0.6467 1.14 0.8683 1.90 0.9665 2.66 0.9938 3.42 0.9991−2.65 0.0064 −1.89 0.0342 −1.13 0.1337 −0.37 0.3570 0.39 0.6504 1.15 0.8704 1.91 0.9671 2.67 0.9939 3.43 0.9991