A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores. 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%):   Person 1 2 3 4 5 6 7 8 Initial Test 64 68 62 61 60 65 78 79 Post-Test

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores. 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%):

 

Person
1 2 3 4 5 6 7 8
Initial Test
64 68 62 61 60 65 78 79
Post-Test
66 63 71 72 72 76 87 93

 

 

Is there evidence, at an α=0.005 level of significance, to conclude that the prep course improves scores? 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.)

A. The value of the standardized test statistic:

B. Your decision for the hypothesis test:

A. Reject ?1.
B. Reject ?0.
C. Do Not Reject ?0.
D. Do Not Reject ?1.

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