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%):

Is there evidence, at an ?=0.095 level of significance, to conclude that the prep course improves scores? Carry out an appropriate hypothesis test, filling in the information requested. Assume the population is normal and arrange your data so that the change is from the POST-TEST MINUS THE PRE-TEST. (Note, this changes the order in which you subtract your differences in both your list and your hypotheses.)

A. The value of the standardized test statistic:

For the next part, your answer should use interval notation. An answer of the form (??,a) is expressed (-infty, a), an answer of the form (b,?) is expressed (b, infty), and an answer of the form (??,a)?(b,?) is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic:

C. The p-value is

D. Your decision for the hypothesis test: A. Reject H0. B. Do Not Reject HA. C. Reject HA. D. Do Not Reject H0.

Transcribed Image Text:

Person 1 2 3 4 5 6 78 8 Initial Test 80 69 71 61 64 65 72 68 Post-Test 76 79 80 66 62 61 67 81 Person 1 2 3 4 5 6 78 8 Initial Test 80 69 71 61 64 65 72 68 Post-Test 76 79 80 66 62 61 67 81

Answer rating: 100% (QA)

Answer A From the given information on n 8 0095 A Test statistic ... View the full answer