(2 points) 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 20 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 Initial Test Post-Test 81 61 75 100 4 la thone evidence, at an c - 0.005 level of significance, to conclude that the prep course improves scores? Carry out Wilcoxon signed rank test, filling In the Information requested. (Arrange your data so that the standardized Mist statistic is for the change. from the initial test to the post-last) (a) The value of the last statistic. Note: For the next part, your answer should use interval notation. An answer of the form (-co, a) is expressed (-Infly, a), an answer of the form (b, on) is expressed (b. infty), and an answer of the form (-co, a) U (b, co) in expressed (-infly alUUD, Infty). (b) The rejection region for the standardized test statistic: (c) Your decision for the hypothesis that: CA. Do Not Reject Ho B. Rojpet Ho O. C. Do Not Reject H. D. Reject H. Note: You can cam partial credit on this