caso 4 bayfield

N Dia Turno Hora Promedio Minimo Maximo1 1 M 06 49.6000 48.7000 50.70002 1 M 07 50.2000 49.1000 51.20003 1 M 08 50.6000 49.6000 51.40004 1 M 09 50.8000 50.2000 51.80005 1 M 10 49.9000 49.2000 52.30006 1 M 11 50.3000 48.6000 51.70007 1 M 12 48.6000 46.2000 50.40008 1 M 01 49.0000 46.4000 50.00009 1 T 02 49.0000 46.0000 50.600010 1 T 03 49.8000 48.2000 50.800011 1 T 04 50.3000 49.2000 52.700012 1 T 05 51.4000 50.0000 55.300013 1 T 06 51.6000 49.2000 54.700014 1 T 07 51.8000 50.0000 55.600015 1 T 08 51.0000 48.6000 53.200016 1 T 09 50.5000 49.4000 52.400017 1 N 10 49.2000 46.1000 50.700018 1 N 11 49.0000 46.3000 50.800019 1 N 12 48.4000 45.4000 50.200020 1 N 01 47.6000 44.3000 49.700021 1 N 02 47.4000 44.1000 49.600022 1 N 03 48.2000 45.2000 49.000023 1 N 04 48.0000 45.5000 49.100024 1 N 05 48.4000 47.1000 49.600025 2 M 06 48.6000 47.4000 52.000026 2 M 07 50.0000 49.2000 52.200027 2 M 08 49.8000 49.0000 52.400028 2 M 09 50.3000 49.4000 51.700029 2 M 10 50.2000 49.6000 51.800030 2 M 11 50.0000 49.0000 52.300031 2 M 12 50.0000 48.8000 52.400032 2 M 01 50.1000 49.4000 53.600033 2 T 02 49.7000 48.6000 51.000034 2 T 03 48.4000 47.2000 51.700035 2 T 04 47.2000 45.3000 50.900036 2 T 05 46.8000 44.1000 49.000037 2 T 06 46.8000 41.0000 51.200038 2 T 07 50.0000 46.2000 51.700039 2 T 08 47.4000 44.0000 48.700040 2 T 09 47.0000 44.2000 48.900041 2 N 10 47.2000 46.6000 50.2000

42 2 N 11 48.6000 47.0000 50.000043 2 N 12 49.8000 48.2000 50.400044 2 N 01 49.6000 48.4000 51.700045 2 N 02 50.0000 49.0000 52.200046 2 N 03 50.0000 49.2000 50.000047 2 N 04 47.2000 46.3000 50.500048 2 N 05 47.0000 44.1000 49.700049 3 M 06 48.4000 45.0000 49.000050 3 M 07 48.8000 44.8000 49.700051 3 M 08 49.6000 48.0000 51.800052 3 M 09 50.0000 48.1000 52.700053 3 M 10 51.0000 48.1000 55.200054 3 M 11 50.4000 49.5000 54.100055 3 M 12 50.0000 48.7000 50.900056 3 M 01 48.9000 47.6000 51.200057 3 T 02 49.8000 48.4000 51.000058 3 T 03 49.8000 48.8000 50.800059 3 T 04 50.0000 49.1000 50.600060 3 T 05 47.8000 45.2000 51.200061 3 T 06 46.4000 44.0000 49.700062 3 T 07 46.4000 44.4000 50.000063 3 T 08 47.2000 46.6000 48.900064 3 T 09 48.4000 47.2000 49.500065 3 N 10 49.2000 48.1000 50.700066 3 N 11 48.4000 47.0000 50.800067 3 N 12 47.2000 46.4000 49.200068 3 N 01 47.4000 46.8000 49.000069 3 N 02 48.8000 47.2000 51.400070 3 N 03 49.6000 49.0000 50.600071 3 N 04 51.0000 50.5000 51.500072 3 N 05 50.5000 50.0000 51.9000

49.1292

Rango n2.0000 24 2.1000 24 1.8000 24 1.6000 24 Media Rango3.1000 24 3.1000 24 Media 49.12916674.2000 24 Error tpico 0.159743993.6000 24 Mediana 49.64.6000 24 Moda 502.6000 24 Desviacin estndar 1.355472743.5000 24 Varianza de la muestra 1.837306345.3000 24 Curtosis -0.817506555.5000 24 Coeficiente de asimetra -0.293325695.6000 24 Rango 5.44.6000 24 Mnimo 46.43.0000 24 Mximo 51.84.6000 24 Suma 3537.34.5000 24 Cuenta 724.8000 24 Nivel de confianza(95.0%) 0.318520485.4000 24 5.5000 24 3.8000 24 3.6000 24 2.5000 24 4.6000 24 3.0000 24 3.4000 24 2.3000 24 2.2000 24 3.3000 24 3.6000 24 4.2000 24 2.4000 24 4.5000 24 5.6000 24 4.9000 24

10.2000 24 5.5000 24 4.7000 24 4.7000 24 3.6000 24

3.0000 24 2.2000 24 3.3000 24 3.2000 24 0.8000 24 4.2000 24 5.6000 24 4.0000 24 4.9000 24 3.8000 24 4.6000 24 7.1000 24 4.6000 24 2.2000 24 3.6000 24 2.6000 24 2.0000 24 1.5000 24 6.0000 24 5.7000 24 5.6000 24 2.3000 24 2.3000 24 2.6000 24 3.8000 24 2.8000 24 2.2000 24 4.2000 24 1.6000 24 1.0000 24 1.9000 24 3.7333

40

43

45

48

50

53

55

58

Rango

3.733333330.1855078

3.64.6

1.574085922.477746482.648423070.93294796

9.40.8

10.2268.8

720.36989206

40

43

45

48

50

53

55

58

Dia Turno Hora Promedio Minimo Maximo1 1 M 06 06 AM 49.6000 48.7000 50.70002 1 M 07 07 AM 50.2000 49.1000 51.20003 1 M 08 08 AM 50.6000 49.6000 51.40004 1 M 09 09 AM 50.8000 50.2000 51.80005 1 M 10 10 AM 49.9000 49.2000 52.30006 1 M 11 11 AM 50.3000 48.6000 51.70007 1 M 12 12 PM 48.6000 46.2000 50.40008 1 M 01 01 PM 49.0000 46.4000 50.00009 1 T 02 02 PM 49.0000 46.0000 50.6000

10 1 T 03 03 PM 49.8000 48.2000 50.800011 1 T 04 04 PM 50.3000 49.2000 52.700012 1 T 05 05 PM 51.4000 50.0000 55.300013 1 T 06 06 PM 51.6000 49.2000 54.700014 1 T 07 07 PM 51.8000 50.0000 55.600015 1 T 08 08 PM 51.0000 48.6000 53.200016 1 T 09 09 PM 50.5000 49.4000 52.400017 1 N 10 10 PM 49.2000 46.1000 50.700018 1 N 11 11 PM 49.0000 46.3000 50.800019 1 N 12 12 AM 48.4000 45.4000 50.200020 1 N 01 01 AM 47.6000 44.3000 49.700021 1 N 02 02 AM 47.4000 44.1000 49.600022 1 N 03 03 AM 48.2000 45.2000 49.000023 1 N 04 04 AM 48.0000 45.5000 49.100024 1 N 05 05 AM 48.4000 47.1000 49.600025 2 M 06 06 AM 48.6000 47.4000 52.000026 2 M 07 07 AM 50.0000 49.2000 52.200027 2 M 08 08 AM 49.8000 49.0000 52.400028 2 M 09 09 AM 50.3000 49.4000 51.700029 2 M 10 10 AM 50.2000 49.6000 51.800030 2 M 11 11 AM 50.0000 49.0000 52.300031 2 M 12 12 PM 50.0000 48.8000 52.400032 2 M 01 01 PM 50.1000 49.4000 53.600033 2 T 02 02 PM 49.7000 48.6000 51.000034 2 T 03 03 PM 48.4000 47.2000 51.700035 2 T 04 04 PM 47.2000 45.3000 50.900036 2 T 05 05 PM 46.8000 44.1000 49.000037 2 T 06 06 PM 46.8000 41.0000 51.200038 2 T 07 07 PM 50.0000 46.2000 51.700039 2 T 08 08 PM 47.4000 44.0000 48.700040 2 T 09 09 PM 47.0000 44.2000 48.900041 2 N 10 10 PM 47.2000 46.6000 50.2000

42 2 N 11 11 PM 48.6000 47.0000 50.000043 2 N 12 12 AM 49.8000 48.2000 50.400044 2 N 01 01 AM 49.6000 48.4000 51.700045 2 N 02 02 AM 50.0000 49.0000 52.200046 2 N 03 03 AM 50.0000 49.2000 50.000047 2 N 04 04 AM 47.2000 46.3000 50.500048 2 N 05 05 AM 47.0000 44.1000 49.700049 3 M 06 06 AM 48.4000 45.0000 49.000050 3 M 07 07 AM 48.8000 44.8000 49.700051 3 M 08 08 AM 49.6000 48.0000 51.800052 3 M 09 09 AM 50.0000 48.1000 52.700053 3 M 10 10 AM 51.0000 48.1000 55.200054 3 M 11 11 AM 50.4000 49.5000 54.100055 3 M 12 12 PM 50.0000 48.7000 50.900056 3 M 01 01 PM 48.9000 47.6000 51.200057 3 T 02 02 PM 49.8000 48.4000 51.000058 3 T 03 03 PM 49.8000 48.8000 50.800059 3 T 04 04 PM 50.0000 49.1000 50.600060 3 T 05 05 PM 47.8000 45.2000 51.200061 3 T 06 06 PM 46.4000 44.0000 49.700062 3 T 07 07 PM 46.4000 44.4000 50.000063 3 T 08 08 PM 47.2000 46.6000 48.900064 3 T 09 09 PM 48.4000 47.2000 49.500065 3 N 10 10 PM 49.2000 48.1000 50.700066 3 N 11 11 PM 48.4000 47.0000 50.800067 3 N 12 12 AM 47.2000 46.4000 49.200068 3 N 01 01 AM 47.4000 46.8000 49.000069 3 N 02 02 AM 48.8000 47.2000 51.400070 3 N 03 03 AM 49.6000 49.0000 50.600071 3 N 04 04 AM 51.0000 50.5000 51.500072 3 N 05 05 AM 50.5000 50.0000 51.9000

Valor media desv std 44.4 49.1292 1.3555 44.5 49.1292 1.3555 44.6 49.1292 1.3555 44.7 49.1292 1.3555 44.8 49.1292 1.3555 44.9 49.1292 1.3555 45.0 49.1292 1.3555 45.1 49.1292 1.3555 45.2 49.1292 1.3555 45.3 49.1292 1.3555 45.4 49.1292 1.3555

45.5 49.1292 1.3555 45.6 49.1292 1.3555 45.7 49.1292 1.3555 45.8 49.1292 1.3555 45.9 49.1292 1.3555 46.0 49.1292 1.3555 46.1 49.1292 1.3555 46.2 49.1292 1.3555 46.3 49.1292 1.3555 46.3 49.1292 1.3555 46.4 49.1292 1.3555 46.5 49.1292 1.3555 46.6 49.1292 1.3555 46.7 49.1292 1.3555 46.8 49.1292 1.3555 46.9 49.1292 1.3555 47.0 49.1292 1.3555 47.1 49.1292 1.3555 47.2 49.1292 1.3555 47.3 49.1292 1.3555 47.4 49.1292 1.3555 47.5 49.1292 1.3555 47.6 49.1292 1.3555 47.7 49.1292 1.3555 47.8 49.1292 1.3555 47.9 49.1292 1.3555 48.0 49.1292 1.3555 48.1 49.1292 1.3555 48.2 49.1292 1.3555 48.3 49.1292 1.3555 48.4 49.1292 1.3555 48.5 49.1292 1.3555 48.6 49.1292 1.3555 48.7 49.1292 1.3555 48.8 49.1292 1.3555 48.9 49.1292 1.3555 49.0 49.1292 1.3555 49.1 49.1292 1.3555 49.2 49.1292 1.3555 49.3 49.1292 1.3555 49.4 49.1292 1.3555 49.5 49.1292 1.3555 49.6 49.1292 1.3555 49.7 49.1292 1.3555 49.8 49.1292 1.3555

49.9 49.1292 1.3555 50.0 49.1292 1.3555 50.1 49.1292 1.3555 50.2 49.1292 1.3555 50.3 49.1292 1.3555 50.4 49.1292 1.3555 50.5 49.1292 1.3555 50.6 49.1292 1.3555 50.7 49.1292 1.3555 50.8 49.1292 1.3555 50.9 49.1292 1.3555 51.0 49.1292 1.3555 51.1 49.1292 1.3555 51.2 49.1292 1.3555 51.3 49.1292 1.3555 51.4 49.1292 1.3555 51.5 49.1292 1.3555 51.6 49.1292 1.3555 51.7 49.1292 1.3555 51.8 49.1292 1.3555 51.9 49.1292 1.3555 52.0 49.1292 1.3555 52.1 49.1292 1.3555 52.2 49.1292 1.3555 52.3 49.1292 1.3555 52.4 49.1292 1.3555 52.5 49.1292 1.3555 52.6 49.1292 1.3555 52.7 49.1292 1.3555 52.8 49.1292 1.3555 52.9 49.1292 1.3555 53.0 49.1292 1.3555 53.1 49.1292 1.3555 53.2 49.1292 1.3555 53.3 49.1292 1.3555 53.4 49.1292 1.3555 53.5 49.1292 1.3555 53.6 49.1292 1.3555 53.7 49.1292 1.3555 53.8 49.1292 1.3555 53.9 49.1292 1.3555 54.0 49.1292 1.3555 54.1 49.1292 1.3555 54.2 49.1292 1.3555 54.3 49.1292 1.3555

54.4 49.1292 1.3555 54.5 49.1292 1.3555 54.6 49.1292 1.3555 54.7 49.1292 1.3555

Rango N2.0000 24 2.1000 24 1.8000 24 Media1.6000 24 Error tpico3.1000 24 Mediana3.1000 24 Moda4.2000 24 Desviacin estndar3.6000 24 Media + 3 sigma4.6000 24 Media - 3 sigma2.6000 24 Varianza de la muestra3.5000 24 Curtosis5.3000 24 Coeficiente de asimetra5.5000 24 Rango5.6000 24 Mnimo4.6000 24 Mximo3.0000 24 Cuenta4.6000 24 Nivel de confianza(95.0%)4.5000 24 4.8000 24 5.4000 24 5.5000 24 3.8000 24 3.6000 24 2.5000 24 4.6000 24 3.0000 24 3.4000 24 2.3000 24 2.2000 24 3.3000 24 3.6000 24 4.2000 24 2.4000 24 4.5000 24 5.6000 24 4.9000 24

10.2000 24 5.5000 24 4.7000 24 4.7000 24 3.6000 24

3.0000 24 2.2000 24 3.3000 24 3.2000 24 0.8000 24 4.2000 24 5.6000 24 4.0000 24 4.9000 24 3.8000 24 4.6000 24 7.1000 24 4.6000 24 2.2000 24 3.6000 24 2.6000 24 2.0000 24 1.5000 24 6.0000 24 5.7000 24 5.6000 24 2.3000 24 2.3000 24 2.6000 24 3.8000 24 2.8000 24 2.2000 24 4.2000 24 1.6000 24 1.0000 24 1.9000 24

Densidad media desv std Densidad 0.0012 0.0007 50 1.2 0.0000 0.0016 #NAME? 50 1.2 0.0000 0.0020 #NAME? 50 1.2 0.0000 0.0026 #NAME? 50 1.2 0.0000 0.0033 #NAME? 50 1.2 0.0000 0.0042 #NAME? 50 1.2 0.0001 0.0052 #NAME? 50 1.2 0.0001 0.0065 #NAME? 50 1.2 0.0001 0.0081 #NAME? 50 1.2 0.0002 0.0100 #NAME? 50 1.2 0.0002 0.0123 #NAME? 50 1.2 0.0003

0.0150 #NAME? 50 1.2 0.0004 0.0182 #NAME? 50 1.2 0.0006 0.0220 #NAME? 50 1.2 0.0008 0.0265 #NAME? 50 1.2 0.0010 0.0317 #NAME? 50 1.2 0.0014 0.0376 #NAME? 50 1.2 0.0019 0.0445 #NAME? 50 1.2 0.0024 0.0524 #NAME? 50 1.2 0.0032 0.0612 #NAME? 50 1.2 0.0041 0.0612 #NAME? 50 1.2 0.0041 0.0712 #NAME? 50 1.2 0.0053 0.0824 #NAME? 50 1.2 0.0068 0.0948 #NAME? 50 1.2 0.0086 0.1085 #NAME? 50 1.2 0.0109 0.1235 #NAME? 50 1.2 0.0137 0.1399 #NAME? 50 1.2 0.0170 0.1575 #NAME? 50 1.2 0.0210 0.1763 #NAME? 50 1.2 0.0258 0.1964 #NAME? 50 1.2 0.0315 0.2176 #NAME? 50 1.2 0.0381 0.2397 #NAME? 50 1.2 0.0458 0.2626 #NAME? 50 1.2 0.0547 0.2862 #NAME? 50 1.2 0.0648 0.3102 #NAME? 50 1.2 0.0763 0.3343 #NAME? 50 1.2 0.0892 0.3585 #NAME? 50 1.2 0.1035 0.3822 #NAME? 50 1.2 0.1194 0.4053 #NAME? 50 1.2 0.1367 0.4275 #NAME? 50 1.2 0.1554 0.4485 #NAME? 50 1.2 0.1755 0.4679 #NAME? 50 1.2 0.1968 0.4855 #NAME? 50 1.2 0.2192 0.5011 #NAME? 50 1.2 0.2424 0.5143 #NAME? 50 1.2 0.2662 0.5250 #NAME? 50 1.2 0.2904 0.5331 #NAME? 50 1.2 0.3145 0.5383 #NAME? 50 1.2 0.3383 0.5406 #NAME? 50 1.2 0.3614 0.5400 #NAME? 50 1.2 0.3833 0.5365 #NAME? 50 1.2 0.4038 0.5301 #NAME? 50 1.2 0.4225 0.5209 #NAME? 50 1.2 0.4389 0.5091 #NAME? 50 1.2 0.4529 0.4949 #NAME? 50 1.2 0.4640 0.4784 #NAME? 50 1.2 0.4721

0.4600 #NAME? 50 1.2 0.4771 0.4399 #NAME? 50 1.2 0.4787 0.4184 #NAME? 50 1.2 0.4771 0.3958 #NAME? 50 1.2 0.4721 0.3724 #NAME? 50 1.2 0.4640 0.3484 #NAME? 50 1.2 0.4529 0.3243 #NAME? 50 1.2 0.4389 0.3001 #NAME? 50 1.2 0.4225 0.2763 #NAME? 50 1.2 0.4038 0.2530 #NAME? 50 1.2 0.3833 0.2303 #NAME? 50 1.2 0.3614 0.2086 #NAME? 50 1.2 0.3383 0.1879 #NAME? 50 1.2 0.3145 0.1683 #NAME? 50 1.2 0.2904 0.1500 #NAME? 50 1.2 0.2662 0.1329 #NAME? 50 1.2 0.2424 0.1171 #NAME? 50 1.2 0.2192 0.1027 #NAME? 50 1.2 0.1968 0.0895 #NAME? 50 1.2 0.1755 0.0776 #NAME? 50 1.2 0.1554 0.0669 #NAME? 50 1.2 0.1367 0.0574 #NAME? 50 1.2 0.1194 0.0490 #NAME? 50 1.2 0.1035 0.0415 #NAME? 50 1.2 0.0892 0.0351 #NAME? 50 1.2 0.0763 0.0294 #NAME? 50 1.2 0.0648 0.0246 #NAME? 50 1.2 0.0547 0.0204 #NAME? 50 1.2 0.0458 0.0168 #NAME? 50 1.2 0.0381 0.0138 #NAME? 50 1.2 0.0315 0.0113 #NAME? 50 1.2 0.0258 0.0092 #NAME? 50 1.2 0.0210 0.0074 #NAME? 50 1.2 0.0170 0.0059 #NAME? 50 1.2 0.0137 0.0048 #NAME? 50 1.2 0.0109 0.0038 #NAME? 50 1.2 0.0086 0.0030 #NAME? 50 1.2 0.0068 0.0023 #NAME? 50 1.2 0.0053 0.0018 #NAME? 50 1.2 0.0041 0.0014 #NAME? 50 1.2 0.0032 0.0011 #NAME? 50 1.2 0.0024 0.0008 #NAME? 50 1.2 0.0019 0.0006 #NAME? 50 1.2 0.0014 0.0005 #NAME? 50 1.2 0.0010 0.0004 #NAME? 50 1.2 0.0008

0.0003 #NAME? 50 1.2 0.0006 0.0002 #NAME? 50 1.2 0.0004 0.0002 #NAME? 50 1.2 0.0003 0.0001 #NAME? 50 1.2 0.0002

MEDIA RANGO

49.1292 3.7333 0.1597 0.1855 49.6000 3.6000 50.0000 4.6000 1.3555 1.5741 49.1292 3.7333 45.0627 0.0000 1.8373 2.4777 -0.8175 2.6484 -0.2933 0.9329 5.4000 9.4000 46.4000 0.8000 51.8000 10.2000 72 72 0.3185 0.3699

LCL UCL#NAME? 0.00 50.0 1.2 46.4 53.6#NAME? 0.35 50.0 1.2 46.4 53.6#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?

44.0 45.0 46.0 47.0 48.0 49.0 50.0 51.0 52.0 53.0 54.0 55.0

-0.0500

0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

0.3500

COMPARATIVO VS DISTRIBUCION 50, 1.2

#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?

44.0 45.0 46.0 47.0 48.0 49.0 50.0 51.0 52.0 53.0 54.0 55.0

-0.0500

0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

0.3500


#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?#NAME?

#NAME?#NAME?#NAME?#NAME?

Desv. Std LCL UCL49.1 1.3555 48.5 49.749.1 1.3555 48.5 49.7

44.0 45.0 46.0 47.0 48.0 49.0 50.0 51.0 52.0 53.0 54.0 55.0

-0.0500

0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

0.3500


()

44.0 45.0 46.0 47.0 48.0 49.0 50.0 51.0 52.0 53.0 54.0 55.0

-0.0500

0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

0.3500

DISTRIBUCION dESV. Std () ,

44.0 45.0 46.0 47.0 48.0 49.0 50.0 51.0 52.0 53.0 54.0 55.0

-0.0500

0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

0.3500


44.0 45.0 46.0 47.0 48.0 49.0 50.0 51.0 52.0 53.0 54.0 55.0

-0.0500

0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

0.3500


44.0 45.0 46.0 47.0 48.0 49.0 50.0 51.0 52.0 53.0 54.0 55.0

-0.0500

0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

0.3500


Tamao de muestra CONSTRUCCION DE LA GRAFICA DE CONTROLn = 24 Si no se conoce

la media ni la desv. StdDia Turno Hora rango Promedio ucl lcl

1 1 M 06 AM 2.0000 3.7333 5.7792 1.68752 1 M 07 AM 2.1000 3.7333 5.7792 1.68753 1 M 08 AM 1.8000 3.7333 5.7792 1.68754 1 M 09 AM 1.6000 3.7333 5.7792 1.68755 1 M 10 AM 3.1000 3.7333 5.7792 1.68756 1 M 11 AM 3.1000 3.7333 5.7792 1.68757 1 M 12 PM 4.2000 3.7333 5.7792 1.68758 1 M 01 PM 3.6000 3.7333 5.7792 1.68759 1 T 02 PM 4.6000 3.7333 5.7792 1.6875

10 1 T 03 PM 2.6000 3.7333 5.7792 1.687511 1 T 04 PM 3.5000 3.7333 5.7792 1.687512 1 T 05 PM 5.3000 3.7333 5.7792 1.687513 1 T 06 PM 5.5000 3.7333 5.7792 1.687514 1 T 07 PM 5.6000 3.7333 5.7792 1.687515 1 T 08 PM 4.6000 3.7333 5.7792 1.687516 1 T 09 PM 3.0000 3.7333 5.7792 1.687517 1 N 10 PM 4.6000 3.7333 5.7792 1.687518 1 N 11 PM 4.5000 3.7333 5.7792 1.687519 1 N 12 AM 4.8000 3.7333 5.7792 1.687520 1 N 01 AM 5.4000 3.7333 5.7792 1.687521 1 N 02 AM 5.5000 3.7333 5.7792 1.687522 1 N 03 AM 3.8000 3.7333 5.7792 1.687523 1 N 04 AM 3.6000 3.7333 5.7792 1.687524 1 N 05 AM 2.5000 3.7333 5.7792 1.687525 2 M 06 AM 4.6000 3.7333 5.7792 1.687526 2 M 07 AM 3.0000 3.7333 5.7792 1.687527 2 M 08 AM 3.4000 3.7333 5.7792 1.687528 2 M 09 AM 2.3000 3.7333 5.7792 1.687529 2 M 10 AM 2.2000 3.7333 5.7792 1.687530 2 M 11 AM 3.3000 3.7333 5.7792 1.687531 2 M 12 PM 3.6000 3.7333 5.7792 1.687532 2 M 01 PM 4.2000 3.7333 5.7792 1.687533 2 T 02 PM 2.4000 3.7333 5.7792 1.687534 2 T 03 PM 4.5000 3.7333 5.7792 1.687535 2 T 04 PM 5.6000 3.7333 5.7792 1.687536 2 T 05 PM 4.9000 3.7333 5.7792 1.687537 2 T 06 PM 10.2000 3.7333 5.7792 1.687538 2 T 07 PM 5.5000 3.7333 5.7792 1.687539 2 T 08 PM 4.7000 3.7333 5.7792 1.6875

40 2 T 09 PM 4.7000 3.7333 5.7792 1.687541 2 N 10 PM 3.6000 3.7333 5.7792 1.687542 2 N 11 PM 3.0000 3.7333 5.7792 1.687543 2 N 12 AM 2.2000 3.7333 5.7792 1.687544 2 N 01 AM 3.3000 3.7333 5.7792 1.687545 2 N 02 AM 3.2000 3.7333 5.7792 1.687546 2 N 03 AM 0.8000 3.7333 5.7792 1.687547 2 N 04 AM 4.2000 3.7333 5.7792 1.687548 2 N 05 AM 5.6000 3.7333 5.7792 1.687549 3 M 06 AM 4.0000 3.7333 5.7792 1.687550 3 M 07 AM 4.9000 3.7333 5.7792 1.687551 3 M 08 AM 3.8000 3.7333 5.7792 1.687552 3 M 09 AM 4.6000 3.7333 5.7792 1.687553 3 M 10 AM 7.1000 3.7333 5.7792 1.687554 3 M 11 AM 4.6000 3.7333 5.7792 1.687555 3 M 12 PM 2.2000 3.7333 5.7792 1.687556 3 M 01 PM 3.6000 3.7333 5.7792 1.687557 3 T 02 PM 2.6000 3.7333 5.7792 1.687558 3 T 03 PM 2.0000 3.7333 5.7792 1.687559 3 T 04 PM 1.5000 3.7333 5.7792 1.687560 3 T 05 PM 6.0000 3.7333 5.7792 1.687561 3 T 06 PM 5.7000 3.7333 5.7792 1.687562 3 T 07 PM 5.6000 3.7333 5.7792 1.687563 3 T 08 PM 2.3000 3.7333 5.7792 1.687564 3 T 09 PM 2.3000 3.7333 5.7792 1.687565 3 N 10 PM 2.6000 3.7333 5.7792 1.687566 3 N 11 PM 3.8000 3.7333 5.7792 1.687567 3 N 12 AM 2.8000 3.7333 5.7792 1.687568 3 N 01 AM 2.2000 3.7333 5.7792 1.687569 3 N 02 AM 4.2000 3.7333 5.7792 1.687570 3 N 03 AM 1.6000 3.7333 5.7792 1.687571 3 N 04 AM 1.0000 3.7333 5.7792 1.687572 3 N 05 AM 1.9000 3.7333 5.7792 1.6875

promedio = 3.7333

CARTA DE CONTROL: LIMITES DE CONTROLSi no se conoce la media y la desviacion estandar

DATO n = 24.0000REQUERIDOS 3.7333

UCL = 4

=LCL = 3

D3 = 0.452D4 = 1.548

LCL = 1.687UCL = 5.779

CONSTRUCCION DE LA GRAFICA DE CONTROLSi no se conoce Si se conoce

la media ni la desv. Std la media ni la desv. StdNC ucl lcl NC

7.2360 2.1132 2.00007.2360 2.1132 2.1000 Si no se conoce la media y la desviacion estandar7.2360 2.1132 1.8000

1.60000 7.2360 2.1132 1.60007.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.1132 Si se conoce la media y la desviacion estandar7.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.1132

10.20000 7.2360 2.1132 10.20007.2360 2.11327.2360 2.1132

M MM MM MM M T T T T T T T T N N N N N N N N MM MM M MM M T T T T T T T T N N N N N N N N M M MM MM MM T T T T T T T T N N N N N N N N0.5

2.5

4.5

6.5

8.5

10.5

12.5

CARTA DE CONTROL DE RANGOSn = 24

Rango UCL LCL Promedio NC

Rango

M MM MM MM M T T T T T T T T N N N N N N N N MM MM M MM M T T T T T T T T N N N N N N N N M M MM MM MM T T T T T T T T N N N N N N N N0.5

2.5

4.5

6.5

8.5

10.5

12.5



Rango

7.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.1132

0.80000 7.2360 2.1132 0.80007.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.1132

7.10000 7.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.1132 2.0000

1.50000 7.2360 2.1132 1.50006.00000 7.2360 2.1132

7.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.11327.2360 2.1132

1.60000 7.2360 2.1132 1.60001.00000 7.2360 2.1132 1.0000

7.2360 2.1132 1.90008 11

Si se conoce la media y la desviacion estandar

DATOS n = 24.0000REQUERIDOS = 1.2000

LCL = D1 * UCL = D2 *

D1 = 1.761D2 = 6.030

LCL = 2.1132UCL = 7.2360

Si no se conoce la media y la desviacion estandar


MM MM MM MM T T T T T T T T N N N N N N N N MM MM MM MM T T T T T T T T N N N N N N N N M MM MM MM M T T T T T T T T N N N N N N N N0.5

2.5

4.5

6.5

8.5

10.5

12.5



Rango


2.5

4.5

6.5

8.5

10.5

12.5



Rango

Tamao de muestran = 24

PATRON MEDIADia Turno Hora Rango PATRON A/B PATRON U/D

1 1 M 06 AM 2.0000 B 1 -2 1 M 07 AM 2.1000 B 1 U 13 1 M 08 AM 1.8000 B 1 D 24 1 M 09 AM 1.6000 B 1 D 25 1 M 10 AM 3.1000 B 1 U 36 1 M 11 AM 3.1000 B 1 U 37 1 M 12 PM 4.2000 A 2 U 38 1 M 01 PM 3.6000 B 3 D 49 1 T 02 PM 4.6000 A 4 U 5

10 1 T 03 PM 2.6000 B 5 D 611 1 T 04 PM 3.5000 B 5 U 712 1 T 05 PM 5.3000 A 6 U 713 1 T 06 PM 5.5000 A 6 U 714 1 T 07 PM 5.6000 A 6 U 715 1 T 08 PM 4.6000 A 6 D 816 1 T 09 PM 3.0000 B 7 D 817 1 N 10 PM 4.6000 A 8 U 918 1 N 11 PM 4.5000 A 8 D 1019 1 N 12 AM 4.8000 A 8 U 1120 1 N 01 AM 5.4000 A 8 U 1121 1 N 02 AM 5.5000 A 8 U 1122 1 N 03 AM 3.8000 A 8 D 1223 1 N 04 AM 3.6000 B 9 D 1224 1 N 05 AM 2.5000 B 9 D 1225 2 M 06 AM 4.6000 A 10 U 1326 2 M 07 AM 3.0000 B 11 D 1427 2 M 08 AM 3.4000 B 11 U 1528 2 M 09 AM 2.3000 B 11 D 1629 2 M 10 AM 2.2000 B 11 D 1630 2 M 11 AM 3.3000 B 11 U 1731 2 M 12 PM 3.6000 B 11 U 1732 2 M 01 PM 4.2000 A 12 U 1733 2 T 02 PM 2.4000 B 13 D 1834 2 T 03 PM 4.5000 A 14 U 1935 2 T 04 PM 5.6000 A 14 U 1936 2 T 05 PM 4.9000 A 14 D 2037 2 T 06 PM 10.2000 A 14 U 2138 2 T 07 PM 5.5000 A 14 D 2239 2 T 08 PM 4.7000 A 14 D 22

40 2 T 09 PM 4.7000 A 14 U 2341 2 N 10 PM 3.6000 B 15 D 2442 2 N 11 PM 3.0000 B 15 D 2443 2 N 12 AM 2.2000 B 15 D 2444 2 N 01 AM 3.3000 B 15 U 2545 2 N 02 AM 3.2000 B 15 D 2646 2 N 03 AM 0.8000 B 15 D 2647 2 N 04 AM 4.2000 A 16 U 2748 2 N 05 AM 5.6000 A 16 U 2749 3 M 06 AM 4.0000 A 16 D 2850 3 M 07 AM 4.9000 A 16 U 2951 3 M 08 AM 3.8000 A 16 D 3052 3 M 09 AM 4.6000 A 16 U 3153 3 M 10 AM 7.1000 A 16 U 3154 3 M 11 AM 4.6000 A 16 D 3255 3 M 12 PM 2.2000 B 17 D 3256 3 M 01 PM 3.6000 B 17 U 3357 3 T 02 PM 2.6000 B 17 D 3458 3 T 03 PM 2.0000 B 17 D 3459 3 T 04 PM 1.5000 B 17 D 3460 3 T 05 PM 6.0000 A 18 U 3561 3 T 06 PM 5.7000 A 18 D 3662 3 T 07 PM 5.6000 A 18 D 3663 3 T 08 PM 2.3000 B 19 D 3664 3 T 09 PM 2.3000 B 19 U 3765 3 N 10 PM 2.6000 B 19 U 3766 3 N 11 PM 3.8000 A 20 U 3767 3 N 12 AM 2.8000 B 21 D 3868 3 N 01 AM 2.2000 B 21 D 3869 3 N 02 AM 4.2000 A 22 U 3970 3 N 03 AM 1.6000 B 23 D 4071 3 N 04 AM 1.0000 B 23 D 4072 3 N 05 AM 1.9000 B 23 U 41

promedio = 3.7333

PATRONESLos patrones estn dentro de lo esperado y por lo tanto son al azar?

, estan ms all de las expectativas y por lo tanto no son aleatorios?

Corridas observadas A / B = 23 U / D = 41Numero Datos N = 72 N = 72

Corridas esperadas A / B = 37 U / D = 48Desviacion estandar A / B = 4.213 U / D = 3.532

z A / B = -3.323 U / D = -1.887

Patron No Aleatorio Si aleatorio

Promedio NC Promedio NC3.73333.7333 2.10003.73333.7333 1.60003.73333.7333 3.10000 3.7333 4.20000 4.20003.7333 3.60000 3.60003.7333 4.60000 4.60003.7333 2.60003.7333 3.50000 3.73333.73333.7333 5.60003.7333 4.60000 3.7333 3.00000 3.00003.7333 4.60003.7333 4.50003.73333.73333.7333 5.50003.7333 3.80000 3.73333.7333 2.50000 2.50003.7333 4.60000 4.60003.7333 3.00003.7333 3.40003.73333.7333 2.20003.73333.7333 3.60000 3.7333 4.20000 4.20003.7333 2.40000 2.40003.73333.7333 5.60003.7333 4.90003.7333 10.20003.73333.7333 4.7000

MM MM MM MM T T T T T T T T N N N N N N N N M MM MM MM M T T T T T T T T N N N N N N N N MM MM MM MM T T T T T T T T N N N N N N N N0.5

2.5

4.5

6.5

8.5

10.5

12.5

PATRON ABOVE / BELOWn = 24

Rango

MM MM MM MM T T T T T T T T N N N N N N N N M MM MM MM M T T T T T T T T N N N N N N N N MM MM MM MM T T T T T T T T N N N N N N N N0.5

2.5

4.5

6.5

8.5

10.5

12.5

PATRON UP / DOWNn = 24

Rango

3.7333 4.70000 4.70003.73333.73333.7333 2.20003.7333 3.30003.73333.7333 0.80000 0.80003.73333.7333 5.60003.7333 4.00003.7333 4.90003.7333 3.80003.73333.7333 7.10003.7333 4.60000 3.7333 2.20003.7333 3.60003.73333.73333.7333 1.50000 1.50003.7333 6.00003.73333.7333 5.60000 3.7333 2.30003.73333.7333 2.60000 3.7333 3.80000 3.80003.73333.7333 2.20000 2.20003.7333 4.20000 4.20003.73333.7333 1.00003.7333 1.90000 1.9000

23 41


2.5

4.5

6.5

8.5

10.5

12.5


Rango


2.5

4.5

6.5

8.5

10.5

12.5


Rango

Tamao de muestra CONSTRUCCION DE LA GRAFICA DE CONTROLn = 24 Si no se conoce

la media ni la desv. StdDia Turno Hora media Promedio ucl lcl

1 1 M 06 AM 49.6000 49.1292 49.7153 48.54302 1 M 07 AM 50.2000 49.1292 49.7153 48.54303 1 M 08 AM 50.6000 49.1292 49.7153 48.54304 1 M 09 AM 50.8000 49.1292 49.7153 48.54305 1 M 10 AM 49.9000 49.1292 49.7153 48.54306 1 M 11 AM 50.3000 49.1292 49.7153 48.54307 1 M 12 PM 48.6000 49.1292 49.7153 48.54308 1 M 01 PM 49.0000 49.1292 49.7153 48.54309 1 T 02 PM 49.0000 49.1292 49.7153 48.5430

10 1 T 03 PM 49.8000 49.1292 49.7153 48.543011 1 T 04 PM 50.3000 49.1292 49.7153 48.543012 1 T 05 PM 51.4000 49.1292 49.7153 48.543013 1 T 06 PM 51.6000 49.1292 49.7153 48.543014 1 T 07 PM 51.8000 49.1292 49.7153 48.543015 1 T 08 PM 51.0000 49.1292 49.7153 48.543016 1 T 09 PM 50.5000 49.1292 49.7153 48.543017 1 N 10 PM 49.2000 49.1292 49.7153 48.543018 1 N 11 PM 49.0000 49.1292 49.7153 48.543019 1 N 12 AM 48.4000 49.1292 49.7153 48.543020 1 N 01 AM 47.6000 49.1292 49.7153 48.543021 1 N 02 AM 47.4000 49.1292 49.7153 48.543022 1 N 03 AM 48.2000 49.1292 49.7153 48.543023 1 N 04 AM 48.0000 49.1292 49.7153 48.543024 1 N 05 AM 48.4000 49.1292 49.7153 48.543025 2 M 06 AM 48.6000 49.1292 49.7153 48.543026 2 M 07 AM 50.0000 49.1292 49.7153 48.543027 2 M 08 AM 49.8000 49.1292 49.7153 48.543028 2 M 09 AM 50.3000 49.1292 49.7153 48.543029 2 M 10 AM 50.2000 49.1292 49.7153 48.543030 2 M 11 AM 50.0000 49.1292 49.7153 48.543031 2 M 12 PM 50.0000 49.1292 49.7153 48.543032 2 M 01 PM 50.1000 49.1292 49.7153 48.543033 2 T 02 PM 49.7000 49.1292 49.7153 48.543034 2 T 03 PM 48.4000 49.1292 49.7153 48.543035 2 T 04 PM 47.2000 49.1292 49.7153 48.543036 2 T 05 PM 46.8000 49.1292 49.7153 48.543037 2 T 06 PM 46.8000 49.1292 49.7153 48.543038 2 T 07 PM 50.0000 49.1292 49.7153 48.543039 2 T 08 PM 47.4000 49.1292 49.7153 48.5430

40 2 T 09 PM 47.0000 49.1292 49.7153 48.543041 2 N 10 PM 47.2000 49.1292 49.7153 48.543042 2 N 11 PM 48.6000 49.1292 49.7153 48.543043 2 N 12 AM 49.8000 49.1292 49.7153 48.543044 2 N 01 AM 49.6000 49.1292 49.7153 48.543045 2 N 02 AM 50.0000 49.1292 49.7153 48.543046 2 N 03 AM 50.0000 49.1292 49.7153 48.543047 2 N 04 AM 47.2000 49.1292 49.7153 48.543048 2 N 05 AM 47.0000 49.1292 49.7153 48.543049 3 M 06 AM 48.4000 49.1292 49.7153 48.543050 3 M 07 AM 48.8000 49.1292 49.7153 48.543051 3 M 08 AM 49.6000 49.1292 49.7153 48.543052 3 M 09 AM 50.0000 49.1292 49.7153 48.543053 3 M 10 AM 51.0000 49.1292 49.7153 48.543054 3 M 11 AM 50.4000 49.1292 49.7153 48.543055 3 M 12 PM 50.0000 49.1292 49.7153 48.543056 3 M 01 PM 48.9000 49.1292 49.7153 48.543057 3 T 02 PM 49.8000 49.1292 49.7153 48.543058 3 T 03 PM 49.8000 49.1292 49.7153 48.543059 3 T 04 PM 50.0000 49.1292 49.7153 48.543060 3 T 05 PM 47.8000 49.1292 49.7153 48.543061 3 T 06 PM 46.4000 49.1292 49.7153 48.543062 3 T 07 PM 46.4000 49.1292 49.7153 48.543063 3 T 08 PM 47.2000 49.1292 49.7153 48.543064 3 T 09 PM 48.4000 49.1292 49.7153 48.543065 3 N 10 PM 49.2000 49.1292 49.7153 48.543066 3 N 11 PM 48.4000 49.1292 49.7153 48.543067 3 N 12 AM 47.2000 49.1292 49.7153 48.543068 3 N 01 AM 47.4000 49.1292 49.7153 48.543069 3 N 02 AM 48.8000 49.1292 49.7153 48.543070 3 N 03 AM 49.6000 49.1292 49.7153 48.543071 3 N 04 AM 51.0000 49.1292 49.7153 48.543072 3 N 05 AM 50.5000 49.1292 49.7153 48.5430

promedio = 49.1292

CARTA DE CONTROL: LIMITES DE CONTROLSi no se conoce la media y la desviacion estandar

n =DATOS

REQUERIDOS =LCL = )(2 UCL = )(+2

) ( =

A2 =LCL =UCL =

UCL = )(+2

CONSTRUCCION DE LA GRAFICA DE CONTROLSi no se conoce Si se conoce

la media ni la desv. Std la media ni la desv. StdNC Promedio ucl lcl NC

50.00000 50.7348 49.265250.20000 50.00000 50.7348 49.2652 Si no se conoce la media y la desviacion estandar50.60000 50.00000 50.7348 49.265250.80000 50.00000 50.7348 49.2652 50.800049.90000 50.00000 50.7348 49.265250.30000 50.00000 50.7348 49.2652

50.00000 50.7348 49.2652 48.600050.00000 50.7348 49.2652 49.000050.00000 50.7348 49.2652 49.0000

49.80000 50.00000 50.7348 49.265250.30000 50.00000 50.7348 49.265251.40000 50.00000 50.7348 49.2652 51.400051.60000 50.00000 50.7348 49.2652 51.600051.80000 50.00000 50.7348 49.2652 51.800051.00000 50.00000 50.7348 49.2652 51.000050.50000 50.00000 50.7348 49.2652

50.00000 50.7348 49.2652 49.200050.00000 50.7348 49.2652 49.0000

48.40000 50.00000 50.7348 49.2652 48.400047.60000 50.00000 50.7348 49.2652 47.6000 Si se conoce la media y la desviacion estandar47.40000 50.00000 50.7348 49.2652 47.400048.20000 50.00000 50.7348 49.2652 48.200048.00000 50.00000 50.7348 49.2652 48.000048.40000 50.00000 50.7348 49.2652 48.4000

50.00000 50.7348 49.2652 48.600050.00000 50.00000 50.7348 49.265249.80000 50.00000 50.7348 49.265250.30000 50.00000 50.7348 49.265250.20000 50.00000 50.7348 49.265250.00000 50.00000 50.7348 49.265250.00000 50.00000 50.7348 49.265250.10000 50.00000 50.7348 49.2652

50.00000 50.7348 49.265248.40000 50.00000 50.7348 49.2652 48.400047.20000 50.00000 50.7348 49.2652 47.200046.80000 50.00000 50.7348 49.2652 46.800046.80000 50.00000 50.7348 49.2652 46.800050.00000 50.00000 50.7348 49.265247.40000 50.00000 50.7348 49.2652 47.4000

MMMMMMMM T T T T T T T T N N N N N N N N MMMMMMMM T T T T T T T T N N N N N N N N MMMMMMMM T T T T T T T T N N N N N N N N45.546.547.548.549.550.551.552.5

CARTA DE CONTROL DE MEDIASn = 24


Medias



Rango UCL LCL Column J NC

Medias

47.00000 50.00000 50.7348 49.2652 47.000047.20000 50.00000 50.7348 49.2652 47.2000

50.00000 50.7348 49.2652 48.600049.80000 50.00000 50.7348 49.2652

50.00000 50.7348 49.265250.00000 50.00000 50.7348 49.265250.00000 50.00000 50.7348 49.265247.20000 50.00000 50.7348 49.2652 47.200047.00000 50.00000 50.7348 49.2652 47.000048.40000 50.00000 50.7348 49.2652 48.4000

50.00000 50.7348 49.2652 48.800050.00000 50.7348 49.2652

50.00000 50.00000 50.7348 49.265251.00000 50.00000 50.7348 49.2652 51.000050.40000 50.00000 50.7348 49.265250.00000 50.00000 50.7348 49.2652

50.00000 50.7348 49.2652 48.900049.80000 50.00000 50.7348 49.265249.80000 50.00000 50.7348 49.265250.00000 50.00000 50.7348 49.265247.80000 50.00000 50.7348 49.2652 47.800046.40000 50.00000 50.7348 49.2652 46.400046.40000 50.00000 50.7348 49.2652 46.400047.20000 50.00000 50.7348 49.2652 47.200048.40000 50.00000 50.7348 49.2652 48.4000

50.00000 50.7348 49.2652 49.200048.40000 50.00000 50.7348 49.2652 48.400047.20000 50.00000 50.7348 49.2652 47.200047.40000 50.00000 50.7348 49.2652 47.4000

50.00000 50.7348 49.2652 48.800050.00000 50.7348 49.2652

51.00000 50.00000 50.7348 49.2652 51.000050.50000 50.00000 50.7348 49.2652

56 42

CARTA DE CONTROL: LIMITES DE CONTROLSi no se conoce la media y la desviacion estandar Si se conoce la media y la desviacion estandar

24 n = 24.0000DATOS = 50.0000

49.1292 REQUERIDOS = 1.20003.7333

LCL = - 3*/n UCL = + 3*/n

LCL = )(2 UCL = )(+2

0.15748.543 LCL = 49.265249.715 UCL = 50.7348

UCL = )(+2

Si no se conoce la media y la desviacion estandar


n = 24 datos / hora8 horas / turno

M M M M M M M M T T T T T T T T N N N N N N N N M M M M M M M M T T T T T T T T N N N N N N N N M M M M M M M M T T T T T T T T N N N N N N N N40

43

45

48

50

53

55

58

MAXIMOS




Medias



Rango UCL LCL Column J NC

Medias

M M M M M M M M T T T T T T T T N N N N N N N N M M M M M M M M T T T T T T T T N N N N N N N N M M M M M M M M T T T T T T T T N N N N N N N N45.5

46.5

47.5

48.5

49.5

50.5

51.5

52.5


Medias

Med

ia

MMMMMMMM T T T T T T T T N N N N N N N NMMMMMMMM T T T T T T T T N N N N N N N NMMMMMMMM T T T T T T T T N N N N N N N N40

43

45

48

50

53

55

58

MAXIMOS


MMMMMMMM T T T T T T T T N N N N N N N NMMMMMMMM T T T T T T T T N N N N N N N NMMMMMMMM T T T T T T T T N N N N N N N N40

43

45

48

50

53

55

58

MAXIMOS

Med

ia

n = 24 datos / hora8 horas / turno

Valores encontrados en el muestreo

M M M M M M M M T T T T T T T T N N N N N N N N M M M M M M M M T T T T T T T T N N N N N N N N M M M M M M M M T T T T T T T T N N N N N N N N40

43

45

48

50

53

55

58

MAXIMOS

M M M M M M M M T T T T T T T T N N N N N N N N M M M M M M M M T T T T T T T T N N N N N N N N M M M M M M M M T T T T T T T T N N N N N N N N45.5

46.5

47.5

48.5

49.5

50.5

51.5

52.5


Medias

MINIMOS

MMMMMMMM T T T T T T T T N N N N N N N N MMMMMMMM T T T T T T T T N N N N N N N NMMMMMMMM T T T T T T T T N N N N N N N N40

43

45

48

50

53

55

58

MAXIMOS

MMMMMMMM T T T T T T T T N N N N N N N N MMMMMMMM T T T T T T T T N N N N N N N NMMMMMMMM T T T T T T T T N N N N N N N N40

43

45

48

50

53

55

58

MAXIMOS

MINIMOS

PROMEDIO

Tamao de muestran = 24

PATRON MEDIADia Turno Hora media PATRON A/B PATRON U/D

1 1 M 06 AM 49.6000 A 1 -2 1 M 07 AM 50.2000 A 1 U 13 1 M 08 AM 50.6000 A 1 U 14 1 M 09 AM 50.8000 A 1 U 15 1 M 10 AM 49.9000 A 1 D 26 1 M 11 AM 50.3000 A 1 U 37 1 M 12 PM 48.6000 B 2 D 48 1 M 01 PM 49.0000 B 2 U 59 1 T 02 PM 49.0000 B 2 U 5

10 1 T 03 PM 49.8000 A 3 U 511 1 T 04 PM 50.3000 A 3 U 512 1 T 05 PM 51.4000 A 3 U 513 1 T 06 PM 51.6000 A 3 U 514 1 T 07 PM 51.8000 A 3 U 515 1 T 08 PM 51.0000 A 3 D 616 1 T 09 PM 50.5000 A 3 D 617 1 N 10 PM 49.2000 A 3 D 618 1 N 11 PM 49.0000 B 4 D 619 1 N 12 AM 48.4000 B 4 D 620 1 N 01 AM 47.6000 B 4 D 621 1 N 02 AM 47.4000 B 4 D 622 1 N 03 AM 48.2000 B 4 U 723 1 N 04 AM 48.0000 B 4 D 824 1 N 05 AM 48.4000 B 4 U 925 2 M 06 AM 48.6000 B 4 U 926 2 M 07 AM 50.0000 A 5 U 927 2 M 08 AM 49.8000 A 5 D 1028 2 M 09 AM 50.3000 A 5 U 1129 2 M 10 AM 50.2000 A 5 D 1230 2 M 11 AM 50.0000 A 5 D 1231 2 M 12 PM 50.0000 A 5 U 1332 2 M 01 PM 50.1000 A 5 U 1333 2 T 02 PM 49.7000 A 5 D 1434 2 T 03 PM 48.4000 B 6 D 1435 2 T 04 PM 47.2000 B 6 D 1436 2 T 05 PM 46.8000 B 6 D 1437 2 T 06 PM 46.8000 B 6 U 1538 2 T 07 PM 50.0000 A 7 U 1539 2 T 08 PM 47.4000 B 8 D 16

40 2 T 09 PM 47.0000 B 8 D 1641 2 N 10 PM 47.2000 B 8 U 1742 2 N 11 PM 48.6000 B 8 U 1743 2 N 12 AM 49.8000 A 9 U 1744 2 N 01 AM 49.6000 A 9 D 1845 2 N 02 AM 50.0000 A 9 U 1946 2 N 03 AM 50.0000 A 9 U 1947 2 N 04 AM 47.2000 B 10 D 2048 2 N 05 AM 47.0000 B 10 D 2049 3 M 06 AM 48.4000 B 10 U 2150 3 M 07 AM 48.8000 B 10 U 2151 3 M 08 AM 49.6000 A 11 U 2152 3 M 09 AM 50.0000 A 11 U 2153 3 M 10 AM 51.0000 A 11 U 2154 3 M 11 AM 50.4000 A 11 D 2255 3 M 12 PM 50.0000 A 11 D 2256 3 M 01 PM 48.9000 B 12 D 2257 3 T 02 PM 49.8000 A 13 U 2358 3 T 03 PM 49.8000 A 13 U 2359 3 T 04 PM 50.0000 A 13 U 2360 3 T 05 PM 47.8000 B 14 D 2461 3 T 06 PM 46.4000 B 14 D 2462 3 T 07 PM 46.4000 B 14 U 2563 3 T 08 PM 47.2000 B 14 U 2564 3 T 09 PM 48.4000 B 14 U 2565 3 N 10 PM 49.2000 A 15 U 2566 3 N 11 PM 48.4000 B 16 D 2667 3 N 12 AM 47.2000 B 16 D 2668 3 N 01 AM 47.4000 B 16 U 2769 3 N 02 AM 48.8000 B 16 U 2770 3 N 03 AM 49.6000 A 17 U 2771 3 N 04 AM 51.0000 A 17 U 2772 3 N 05 AM 50.5000 A 17 D 28

promedio = 49.1292

PATRONESLos patrones estn dentro de lo esperado y por lo tanto son al azar?

, estan ms all de las expectativas y por lo tanto no son aleatorios?

Corridas observadas A / B = 17 U / D = 28Numero Datos N = 72 N = 72

Corridas esperadas A / B = 37 U / D = 48Desviacion estandar A / B = 4.213 U / D = 3.532

z A / B = -4.747 U / D = -5.568

Patron No Aleatorio No Aleatorio

Promedio NC Promedio NC49.1292 49.12917 49.1292 49.12917 49.1292 49.12917 49.1292 49.12917 50.800049.1292 49.12917 49.900049.1292 50.30000 49.12917 50.300049.1292 49.12917 48.600049.1292 49.12917 49.1292 49.00000 49.12917 49.1292 49.12917 49.1292 49.12917 49.1292 49.12917 49.1292 49.12917 49.1292 49.12917 51.800049.1292 49.12917 49.1292 49.12917 49.1292 49.20000 49.12917 49.1292 49.12917 49.1292 49.12917 49.1292 49.12917 49.1292 49.12917 47.400049.1292 49.12917 48.200049.1292 49.12917 48.000049.1292 49.12917 49.1292 48.60000 49.12917 49.1292 49.12917 50.000049.1292 49.12917 49.800049.1292 49.12917 50.300049.1292 49.12917 49.1292 49.12917 50.000049.1292 49.12917 49.1292 49.12917 50.100049.1292 49.70000 49.12917 49.1292 49.12917 49.1292 49.12917 49.1292 49.12917 46.800049.1292 46.80000 49.12917 49.1292 50.00000 49.12917 50.000049.1292 49.12917

MMMMMMMM T T T T T T T T N N N N N N N N MMMMMMMM T T T T T T T T N N N N N N N N MMMMMMMM T T T T T T T T N N N N N N N N45.5

46.5

47.5

48.5

49.5

50.5

51.5

52.5


Medias


46.5

47.5

48.5

49.5

50.5

51.5

52.5


Medias

49.1292 49.12917 47.000049.1292 49.12917 49.1292 48.60000 49.12917 49.1292 49.12917 49.800049.1292 49.12917 49.600049.1292 49.12917 49.1292 50.00000 49.12917 50.000049.1292 49.12917 49.1292 49.12917 47.000049.1292 49.12917 49.1292 48.80000 49.12917 49.1292 49.12917 49.1292 49.12917 49.1292 49.12917 51.000049.1292 49.12917 49.1292 50.00000 49.12917 49.1292 48.90000 49.12917 48.900049.1292 49.12917 49.1292 49.12917 49.1292 50.00000 49.12917 50.000049.1292 49.12917 49.1292 49.12917 46.400049.1292 49.12917 49.1292 49.12917 49.1292 48.40000 49.12917 49.1292 49.20000 49.12917 49.200049.1292 49.12917 49.1292 49.12917 47.200049.1292 49.12917 49.1292 48.80000 49.12917 49.1292 49.12917 49.1292 49.12917 51.000049.1292 50.50000 49.12917 50.5000

17 28


46.5

47.5

48.5

49.5

50.5

51.5

52.5


Medias


46.5

47.5

48.5

49.5

50.5

51.5

52.5


Medias

RANGO

Para un tamao de muestra n = 24

Si no se conoce la media y la desviacion estandar Si se conoce la media y la desviacion estandar

DATOS 49.1292 DATOS =REQUERIDOS 3.7333 REQUERIDOS =

D3 = 0.452 D1 =D4 = 1.548 D2 =

LCL = 1.687 LCL =UCL = 5.779 UCL =

LCL = D1 * UCL = D2 * UCL = 4

) ( = =LCL = 3

MEDIA

Para un tamao de muestra

Si se conoce la media y la desviacion estandar Si no se conoce la media y la desviacion estandar

50.0000 DATOS1.2000 REQUERIDOS

1.7616.030

2.11327.2360

LCL = D1 * UCL = D2 *

Para un tamao de muestra n = 24

Si no se conoce la media y la desviacion estandar Si se conoce la media y la desviacion estandar

49.1292 DATOS = 50.0000REQUERIDOS 3.7333 REQUERIDOS = 1.2000

A2 = 0.157 = 50.0000 = 1.2000

LCL = 48.543 LCL = 49.2652UCL = 49.715 UCL = 50.7348

LCL = - 3*/n UCL = + 3*/n

LCL = )(2 UCL = )(+2

) ( = =

Tamao de muestra = 9buscar = B5

Resultado = 0.232

n A A2 A3 c42 2.121 1.88 2.659 0.79793 1.732 1.023 1.954 0.88624 1.5 0.729 1.628 0.92135 1.342 0.577 1.427 0.946 1.225 0.483 1.287 0.95157 1.134 0.419 1.182 0.95948 1.061 0.373 1.099 0.9659 1 0.337 1.032 0.9693

10 0.949 0.308 0.975 0.972711 0.905 0.285 0.927 0.975412 0.866 0.266 0.886 0.977613 0.832 0.249 0.85 0.979414 0.802 0.235 0.817 0.98115 0.775 0.223 0.789 0.982316 0.75 0.212 0.763 0.983517 0.728 0.203 0.739 0.984518 0.707 0.194 0.718 0.985419 0.688 0.187 0.698 0.986220 0.671 0.18 0.68 0.986921 0.655 0.173 0.663 0.987622 0.64 0.167 0.647 0.988223 0.626 0.162 0.633 0.988724 0.612 0.157 0.619 0.989225 0.6 0.153 0.606 0.9896

B3 B4 B5 B6 d2 * 1/d20 3.267 0 2.606 1.128 0.88620 2.568 0 2.276 1.693 0.59080 2.266 0 2.088 2.059 0.48570 2.089 0 1.964 2.326 0.4299

0.03 1.97 0.029 1.874 2.534 0.39460.118 1.882 0.113 1.806 2.704 0.36980.185 1.815 0.179 1.751 2.847 0.35120.239 1.761 0.232 1.707 2.97 0.33670.284 1.716 0.276 1.669 3.078 0.32490.321 1.679 0.313 1.637 3.173 0.31520.354 1.646 0.346 1.61 3.258 0.30690.382 1.618 0.374 1.585 3.336 0.29980.406 1.594 0.399 1.563 3.407 0.29350.428 1.572 0.421 1.544 3.472 0.2880.448 1.552 0.44 1.526 3.532 0.28310.466 1.534 0.458 1.511 3.588 0.27870.482 1.518 0.475 1.496 3.64 0.27470.497 1.503 0.49 1.483 3.689 0.2711

0.51 1.49 0.504 1.47 3.735 0.26770.523 1.477 0.516 1.459 3.778 0.26470.534 1.466 0.528 1.448 3.819 0.26180.545 1.455 0.539 1.438 3.858 0.25920.555 1.445 0.549 1.429 3.895 0.25670.565 1.435 0.559 1.42 3.931 0.2544

d3 * D1 D2 D3 D40.852 0 3.686 0 3.2660.888 0 4.357 0 2.5740.879 0 4.697 0 2.2810.864 0 4.918 0 2.1140.848 0 5.078 0 2.0030.833 0.206 5.203 0.076 1.9240.819 0.389 5.306 0.137 1.8630.807 0.548 5.392 0.184 1.8160.797 0.688 5.467 0.223 1.7770.787 0.813 5.533 0.256 1.7440.778 0.924 5.593 0.284 1.716

0.77 1.026 5.646 0.307 1.6930.763 1.119 5.695 0.328 1.6720.756 1.204 5.739 0.347 1.653

0.75 1.283 5.781 0.363 1.6370.744 1.357 5.819 0.378 1.6220.738 1.425 5.855 0.392 1.6080.733 1.49 5.888 0.404 1.5960.728 1.55 5.92 0.415 1.5850.724 1.607 5.95 0.425 1.5750.719 1.661 5.978 0.435 1.5650.715 1.712 6.004 0.444 1.5560.712 1.761 6.03 0.452 1.5480.708 1.807 6.055 0.46 1.54

x y4 14 244 34 44 54 64 74 84 94 10

3.5 4 4.5 5 5.5 6 6.5 7 7.5 80

2

4

6

8

10

12

y

3.5 4 4.5 5 5.5 6 6.5 7 7.5 80

2

4

6

8

10

12

y

DATADISTRIBUCIONANALISIS RANGOTENDENCIA RANGOANALISIS MEDIATENDENCIA MEDIACALCULO LIMITES DE CONTROLTABLAHoja8

caso 4 bayfield

Documents