(a) Test the hypothesis that each sample comes from a population with the same mean at the a= 0.05 level of significance. That is, test H: H₁ H₂ H3- P-value= (Round to three decimal places as needed.) Choose the correct conclusion below. O Reject the null hypothesis. O Do not reject the null hypothesis. (b) If you rejected the null hypothesis in part (a), use Tukey's test to determine which pairwise means differ using a familywise error rate of a = 0.05. Find the Tukey 95% simultaneous confidence intervals for all pairwise comparisons. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. comparison OA. The interval for the pairwise comparison ₂-₁ is ( The interval for the pairwise comparison 3-₁ is ( 3-₂ is The interval for the pairwise comparison (Round to two decimal places as needed.) OB. The null hypothesis was not rejected.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Data table
Sample 1 Sample 2 Sample 3
36.1
42.4
43.4
34.9
39.6
44.3
36.4
29.4
Print
39.3
33.6
35.1
32.4
22.3
48.7
41.8
53.7
46.4
51.4
Done
X
Transcribed Image Text:Data table Sample 1 Sample 2 Sample 3 36.1 42.4 43.4 34.9 39.6 44.3 36.4 29.4 Print 39.3 33.6 35.1 32.4 22.3 48.7 41.8 53.7 46.4 51.4 Done X
The accompanying data are taken from three different populations known to be normally distributed, with equal population variances based on independent simple random
samples. Complete parts (a) through (c).
(a) Test the hypothesis that each sample comes from a population with the same mean at the a= 0.05 level of significance. That is, test Ho: H₁ H₂ H3
P-value = (Round to three decimal places as needed.)
Choose the correct conclusion below.
O Reject the null hypothesis.
O
Do not reject the null hypothesis.
C
(b) If you rejected the null hypothesis in part (a), use Tukey's test to determine which pairwise means differ using a familywise error rate of α = 0.05.
Find the Tukey 95% simultaneous confidence intervals for all pairwise comparisons. Select the correct choice below and, if necessary, fill in any answer boxes to complete your
choice.
comparison
O A. The interval for the pairwise comparison ₂ - H₁ is
The interval for the pairwise comparison μ3-₁ is
The interval for the pairwise comparison μ3-₂ is
(Round to two decimal places as needed.)
O B. The null hypothesis was not rejected.
Transcribed Image Text:The accompanying data are taken from three different populations known to be normally distributed, with equal population variances based on independent simple random samples. Complete parts (a) through (c). (a) Test the hypothesis that each sample comes from a population with the same mean at the a= 0.05 level of significance. That is, test Ho: H₁ H₂ H3 P-value = (Round to three decimal places as needed.) Choose the correct conclusion below. O Reject the null hypothesis. O Do not reject the null hypothesis. C (b) If you rejected the null hypothesis in part (a), use Tukey's test to determine which pairwise means differ using a familywise error rate of α = 0.05. Find the Tukey 95% simultaneous confidence intervals for all pairwise comparisons. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. comparison O A. The interval for the pairwise comparison ₂ - H₁ is The interval for the pairwise comparison μ3-₁ is The interval for the pairwise comparison μ3-₂ is (Round to two decimal places as needed.) O B. The null hypothesis was not rejected.
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