Assume that both populations are normally distributed.(a) Test whether p, +P2 at the a = 0.05 level of significance for the given sample data.Population 117Population 217(b) Construct a 95% confidence interval about P- H2.14.813.1S.43.3B. Ho P1 =H2O C. Ho H1 H2D. Ho P1- 42Detemine the P-value for this hypothesis test.P=|(Round to three decimal places as needed.)

Solution: Given information: n1=17 Sample size of population onen2=17 Sample size Population twox1=14.8 Sample mean of population onex2= 13.1 Sample mean of population twos1=4 Sample standard deviations of population ones2=3.3 Sample standard deviations of Population twoα= 0.05 Level of significance sp2=(n1-1)×s12+(n2-1)×s22n1+n2-2sp2=(17-1)×42+(17-1)×3.3217+17-2sp2=16×16+16×10.8934-2sp2=256×174.2432sp2=430.2432=13.445sp2=13.445 pooled variance a) To test the hypothesis Ho:μ1=μ2 Vs Ha:μ1≠μ2 Test statistic t=x1-x2sp2×(1n1+1n2)t=14.8-13.113.445×(117+117)t=14.8-13.113.445×217t=14.8-13.113.445×0.117647t=14.8-13.11.581765t=1.71.257682=1.351693t= 1.3517 Test statistic t = 1.3517 To find P value 2×P[t>t]=0.185949 From excelP value = 0.186 b) The 95% confidence for μ1-μ2 (x1-x2)±tα/2,n1+n2-2×sp2×(1n1+1n2)At α=0.05tα/2,n1+n2-2= t0.025,32=2.037 From t table(( 14.8-13.1)±2.037×13.445×(117+117))(1.7±2.037×13.445×117)(1.7±2.037×13.445×0.117647)(1.7±2.037×1.581765)( 1.7±2.037×1.257682)( 1.7±2.5618982)(1.7-2.5618982,1.7+2.5618982)(-0.8618982, 4.2618982)(-0.8619, 4.2619)

Math

Probability

Assume that both populations are normally distributed. (a) Test whether u, H2 at the a= 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about u,- 42 Population 1 Population 17 17 14.8 13.1 4 3.3 B. Ho H1 #2 H1 H1 7 H2 OC. Ho H #H2 Ho H1 =H2 H1 H1> H2 Detemine the P-value for this hypothesis test. P = (Round to three decimal places as needed.)

Assume that both populations are normally distributed. (a) Test whether u, H2 at the a= 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about u,- 42 Population 1 Population 17 17 14.8 13.1 4 3.3 B. Ho H1 #2 H1 H1 7 H2 OC. Ho H #H2 Ho H1 =H2 H1 H1> H2 Detemine the P-value for this hypothesis test. P = (Round to three decimal places as needed.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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