MAT 155 Lab 10 Sections 8.1-5 Hypothesis Testing - Part 3Lab 1OHypothesis-3 .doc

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Date: Student's Name ~~Instructor:Dr. ClaudeS. Moore

Score

Work each problem. show your work. and explain your answer as appropriate.

1. In a study of red/green color blindness, 500 men and 2100 women are randomly selected and tested. Amongthe men, 45 have red/green color blindness. Among the women, 6 have red/green color blindness. Is theresufficient evidence to support the claim that men have a higher rate (proportion) of red/green color blindnessthan women? Use a=O.01.

H P -H

/) /\ _n.' I..~_o.-l.. +' Ln(a) Statethe hypothesesand identifythe claim. ()~. ,- F>:1. I ~ r I :> r ~ ~ ~ I ~ -~(b) List the critical value(s) andthe test statisticvalue ~: \ ~. Co~

(c) State your conclusion using the flow chart Wording of Final Conclusion.

2. Use a = 0.05 to test the claim that the treatment group and placebo group come from populations with thesame mean. What does the result of the hypothesis test suggest about paroxetine as a treatment for bipolardepression?

Grou(1) placebo2) Daroxetine ~-~

(a) State the hypotheses and identify the claim. t-\0 t, J.J.-\ =).,l~ ~ 1+ \: Nt. \ -:(:)L ~

Sample size4333

Mean21.5720.38

Standard deviation3.873.91

(b) List the critical value(s) and the test statistic value t:. \ ·'3:l. \

(c) State your conclusion using the flow chart Wording of Final Conclusion.

~ ~ ~ Ho. ().o~5

~4~~:t~ ito-~

~~~~~~~~~~~~~~~~~~.."

t=-

-:t,D~1 ~,o?J1

d.{-;: :3.:l-{';) r~ (t. -==t ;;t. 03'1

..)QI -=-D .f) 5

(?-\. 51 -;;u).33,) - 0-""3:

+~33

MAT] 55 Lab 10 Sections 8.] -5 Hypothesis Testing - Part 3Lab] OHypothesis-3.doc

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3. Listed below are sample results from self-reported heights and measured heights. Is there sufficient evidenceto support the claim that there is a difference between self-reported heights and measured heights of malesaged 12.:.16?Use Statdisk with a 0.05 significance level.

Reported 68Meaasured 67.9

7270.8

Use print-screen to paste the output into a Word document for the(a) data entered into columns 1 and 2(b) calculated results(c) plot of the results

(d) State the hypotheses and identify the claim.

(e) List the critical value(s) t:=. t :2...,:l.f)lD

.u 0 : ,(L, -=- LL;u H-1: AL, :f::-M.;z.. ~and the test statistic value - 0 I q ~'-/-:l,

(f) State your conclusion using the flow chart Wording of Final Conclusion.

d'-~ 7:.0~ -\-\0

~ ~ ~~:t~~:ta~~~~~~o.~~~~-~~~~~ ~-'M.#~~ ~ 1:2--11,.

4. Use a = 0.05 to test the claim that king-size cigarettes with filters have amounts of nicotine that y!!y morethan the amounts of nicotine in non-filtered king~sizecigarettes.

Sample(1) filtered(2) non-filtered

Sample size218

Mean0.941.65

Standard deviation0.310.16

(a) State the hypotheses and identify the cla~m. tic>t. u; ~ ~ th'. 0-;> O~ ~(b) List the critical value(s) F ="3 L 1/-4--4-5 and the test statistic value F:. 3.75 if

(c) State your conclusion using the flow chart Wording of Final Conclusion.

MAT 155 Lab 10 Problem 3 Answer Sheet

__1IIIIiI_--- ----

I Help I I Clear II Cop,-- - --rciiJh."I.r;1n

3 -.1'

Claim: p not equallJ(hyp)Sample size, n: 12

Difference Mean, d: -1Di1ference St Dev. sd: 3.519556

Test Statistic, t: -0.9842Critical t: :1:2.2010P-Value: 0.3461

95% Confidence interval:-3.236217 < IJ0(1.236217

Fall to Rejectthe NullHypothesisSample does not provide enough evidencesupport the claim

':'Jhich tJ.vo cc.lumlis of cata HoulC -'oulib~ te c.;.rnpare':

1 v 2

E',alL/3tel! Plint

Plot

File Edit .;;,nalvsis Data DatasetS \'.'inck!",' 'ielp- -- ---

3 3 9.: -

Hypottlesis Test M~an "13tctJeo:~FairsStudent t Distribution

Fail tc reiect the rJull H ,p'Jthesis

~-: Co 3 ~es_ ~ ;: :J.:. ;3:':: -;: ::elT€s: S:a'::~S::c':::-0.984

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1 '38 3.£

2 71 69.9

3 33 '3':'.94 "'0 6S.3

5 71 ""10.3

6 60 60.6

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10 53 '7.1.211 30S 3:.012 72 70.8

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RO'i 1 21 68 67.92 ""11 i9.93 63 6':.94 "'0 68.35 71 70.36 60 O.rJ7 6: 5':.:

" B 6.1 6-::'.09 - ::.,:i.-1u 63 -:'J..

11 66 6:.1)

ill'12 72 (1).8

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