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A company that sponsors LSAI prep courses would like to be able to claim that their courses improve scores by at least 3 percentage points. To test t they take a sample of 8 people, have each take an initial diagnostic test, then take the prep course, and then take a post-test after the course. The test results are below (scores are out of 100%): Person 1 2 3 4 5 6 7 8 Initial Test 69 75 79 67 69 73 69 71 Post-Test 72 85 80 77 79 88 75 76 Is there evidence, at an a = 0.035 level of significance, to conclude that the prep course improves scores by at least 3 percentage points? Carry out a appropriate hypothesis test, filling in the information requested. (Arrange your data so that the standardized test statistic is for the change from the initi est to the post-test.) A. The correct t test to use here is

A company that sponsors LSAI prep courses would like to be able to claim that their courses improve scores by at least 3 percentage points. To test t they take a sample of 8 people, have each take an initial diagnostic test, then take the prep course, and then take a post-test after the course. The test results are below (scores are out of 100%): Person 1 2 3 4 5 6 7 8 Initial Test 69 75 79 67 69 73 69 71 Post-Test 72 85 80 77 79 88 75 76 Is there evidence, at an a = 0.035 level of significance, to conclude that the prep course improves scores by at least 3 percentage points? Carry out a appropriate hypothesis test, filling in the information requested. (Arrange your data so that the standardized test statistic is for the change from the initi est to the post-test.) A. The correct t test to use here is

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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A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores by at least 3 percentage points. To test this, they take a sample of 8 people, have each take an initial diagnostic test, then take the prep course, and then take a post-test after the course. The test results are below (scores are out of 100%): A. The correct t test to use here is Person Initial Test 1 2 3 4 5 6 7 8 A. Welch's unequal-variances t test OB. One-sample t test C. Student's equal-variances t test B. The number of degrees of freedom (round to the nearest integer) is C. The value of the standardized test statistic: Is there evidence, at an a = 0.035 level of significance, to conclude that the prep course improves scores by at least 3 percentage points? Carry out an appropriate hypothesis test, filling in the information requested. (Arrange your data so that the standardized test statistic is for the change from the initial test to the post-test.) 69 75 79 67 69 E. The p-value is 73 69 71 Post-Test 72 85 80 77 79 88 75 76 Note: For the next part, your answer should use interval notation. An answer of the form (-∞, a) is expressed (-infty, a), an answer expressed (b, infty), and an answer of the form (-∞, a) U (b, ∞o) is expressed (-infty, a)U(b, infty). D. The rejection region for the standardized test statistic: the form (b, oo) is
Transcribed Image Text:A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores by at least 3 percentage points. To test this, they take a sample of 8 people, have each take an initial diagnostic test, then take the prep course, and then take a post-test after the course. The test results are below (scores are out of 100%): A. The correct t test to use here is Person Initial Test 1 2 3 4 5 6 7 8 A. Welch's unequal-variances t test OB. One-sample t test C. Student's equal-variances t test B. The number of degrees of freedom (round to the nearest integer) is C. The value of the standardized test statistic: Is there evidence, at an a = 0.035 level of significance, to conclude that the prep course improves scores by at least 3 percentage points? Carry out an appropriate hypothesis test, filling in the information requested. (Arrange your data so that the standardized test statistic is for the change from the initial test to the post-test.) 69 75 79 67 69 E. The p-value is 73 69 71 Post-Test 72 85 80 77 79 88 75 76 Note: For the next part, your answer should use interval notation. An answer of the form (-∞, a) is expressed (-infty, a), an answer expressed (b, infty), and an answer of the form (-∞, a) U (b, ∞o) is expressed (-infty, a)U(b, infty). D. The rejection region for the standardized test statistic: the form (b, oo) is
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