The null hypothesis is H0: μ1=μ2 and the alternative hypothesis is as specified. The data available below are from a simple random paired sample from the two populations under consideration. Use the paired t-test to perform the required hypothesis test at the 1% significance level. Ha: μ1<μ2 Observations from Pair Population 1 Population 2 1 15 19 2 22 25 3 12 13 4 29 27 5 21 28 6 24 24 7 6 9 8 22 28 9 3 3 Find the test statistic. Use population 1−population 2 as the difference. t=____ (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in any answer box(es) to complete your choice. (Round to two decimal places as needed.) A. The critical value is B. The critical values are _ and ___ (Use ascending order.) What is the correct conclusion for the hypothesis test? A. Do not reject H0. The data provide sufficient evidence that μ1<μ2. B. Reject H0. The data do not provide sufficient evidence that μ1<μ2. C. Do not reject H0. The data do not provide sufficient evidence that μ1<μ2. D. Reject H0. The data provide sufficient evidence that μ1<μ2.

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Description: The null hypothesis is H0: μ1=μ2 and the alternative hypothesis is as specified. The data available below are from a simple random paired sample from the two populations under consideration. Use the paired t-test to perform the required hypothesis

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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The null hypothesis is H0: μ1=μ2 and the alternative hypothesis is as specified. The data available below are from a simple random paired sample from the two populations under consideration. Use the paired t-test to perform the required hypothesis test at the 1% significance level. Ha: μ1<μ2

Observations from

Pair	Population 1	Population 2
1	15	19
2	22	25
3	12	13
4	29	27
5	21	28
6	24	24
7	6	9
8	22	28
9	3	3

Find the test statistic. Use population 1−population 2 as the difference.

t=__________

(Round to two decimal places as needed.)

Determine the critical value(s). Select the correct choice below and fill in any answer box(es) to complete your choice.

(Round to two decimal places as needed.)

A. The critical value is __________

B. The critical values are ___________ and _________ (Use ascending order.)

What is the correct conclusion for the hypothesis test?

A. Do not reject H0. The data provide sufficient evidence that μ1<μ2.

B. Reject H0. The data do not provide sufficient evidence that μ1<μ2.

C. Do not reject H0. The data do not provide sufficient evidence that μ1<μ2.

D. Reject H0. The data provide sufficient evidence that μ1<μ2.

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