A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores by more than 3 percentage points 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 cour (paired) test results are below (scores are out of 100%): Person Initial Test Post-Test 1 62 75 2 61 67 3 62 60 4 74 75 5 67 68 68 76 7 63 59 8 68 74 Is there evidence, at an a = 0.025 level of significance, to conclude that the prep course improves scores by more than 3 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 t test to the post-test.) (a) The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-co, a) is expressed (-infty, a), an answer of the form expressed (b, infty), and an answer of the form (-co, a) U (b, o0) is expressed (-infty, a)U(b, infty). (b) The rejection region for the standardized test statistic: (c) Your decision for the hypothesis test: OA. Do Not Reject Ho. OB. Reject Ho. OC. Do Not Reject H1. OD. Reject H1.

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