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In an effort to improve the mathematical skills of 10 students, a teacher provides a weekly 1-hour tutoring session. A pre-test is given before the sessions and a post-test is given after. The results are shown here. Test the claim that there was a decrease in the scores. at a=0.01. You believe that the population is normally distributed, but you do not know the standard deviation. When calculating difference use Post- test minus Pre-test. pre-test post-test 42 48 46 44 87 83 40 33 94 85 89 99 42 52 65 64 87 77

In an effort to improve the mathematical skills of 10 students, a teacher provides a weekly 1-hour tutoring session. A pre-test is given before the sessions and a post-test is given after. The results are shown here. Test the claim that there was a decrease in the scores. at a=0.01. You believe that the population is normally distributed, but you do not know the standard deviation. When calculating difference use Post- test minus Pre-test. pre-test post-test 42 48 46 44 87 83 40 33 94 85 89 99 42 52 65 64 87 77

MATLAB: An Introduction with Applications
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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In an effort to improve the mathematical skills of 10 students, a teacher provides a weekly 1-hour tutoring session. A pre-test is given before the sessions, and a post-test is given after. The results are shown here. Test the claim that there was a decrease in the scores at α = 0.01. You believe that the population is normally distributed, but you do not know the standard deviation. When calculating the difference, use Post-test minus Pre-test. | Pre-test | Post-test | |----------|-----------| | 42 | 48 | | 46 | 44 | | 87 | 83 | | 40 | 33 | | 94 | 85 | | 89 | 99 | | 42 | 52 | | 65 | 64 | | 87 | 77 | | 97 | 102 | Note: To test the claim, use statistical methods suitable for small sample sizes and unknown population variance, such as the t-test for dependent samples.
Transcribed Image Text:In an effort to improve the mathematical skills of 10 students, a teacher provides a weekly 1-hour tutoring session. A pre-test is given before the sessions, and a post-test is given after. The results are shown here. Test the claim that there was a decrease in the scores at α = 0.01. You believe that the population is normally distributed, but you do not know the standard deviation. When calculating the difference, use Post-test minus Pre-test. | Pre-test | Post-test | |----------|-----------| | 42 | 48 | | 46 | 44 | | 87 | 83 | | 40 | 33 | | 94 | 85 | | 89 | 99 | | 42 | 52 | | 65 | 64 | | 87 | 77 | | 97 | 102 | Note: To test the claim, use statistical methods suitable for small sample sizes and unknown population variance, such as the t-test for dependent samples.
Given that α is 0.01, the critical value is -2.821. The test statistic is: [______] (round to 3 places) The p-value is: [______] (round to 3 places) The decision can be made to: - ○ reject \( H_0 \) - ○ do not reject \( H_0 \) The final conclusion is that: - ○ There is enough evidence to reject the claim that there was a decrease in the scores. - ○ There is not enough evidence to reject the claim that there was a decrease in the scores. - ○ There is enough evidence to support the claim that there was a decrease in the scores. - ○ There is not enough evidence to support the claim that there was a decrease in the scores.
Transcribed Image Text:Given that α is 0.01, the critical value is -2.821. The test statistic is: [______] (round to 3 places) The p-value is: [______] (round to 3 places) The decision can be made to: - ○ reject \( H_0 \) - ○ do not reject \( H_0 \) The final conclusion is that: - ○ There is enough evidence to reject the claim that there was a decrease in the scores. - ○ There is not enough evidence to reject the claim that there was a decrease in the scores. - ○ There is enough evidence to support the claim that there was a decrease in the scores. - ○ There is not enough evidence to support the claim that there was a decrease in the scores.
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