A company that sponsors LSAT prep courses would like to be able to claim that th

Question

A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scor 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 Initial Test Post-T'est 74 67 73 76 is there evidence, at an 0.075 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: Note: For the next part, your answer should use interval notation. An answer of the form (-oo, a) is expressed (-Infty a), an answer of the form (b, oo) is expressed (b, infty), and an answer of the form (-oo, a) U (b, oo) is expressed -Intly, 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 Ho B. Do Not Reject HA C. Reject HA D. Do Not Reject Ho

Explanation / Answer

Paired T-Test and CI: Initial Test, Post -test

Paired T for Initial Test - Post -test

N Mean StDev SE Mean
Initial Test 8 74.13 5.59 1.98
Post -test 8 75.00 6.91 2.44
Difference 8 -0.88 6.40 2.26

92.5% CI for mean difference: (-5.60, 3.85)
T-Test of mean difference = 0 (vs 0): T-Value = -0.39 P-Value = 0.711

a) test statistics = -0.39

b) rejection region of test statistics = t0.075, 7 = 2.08972 ( using t table )

c) P-value = 0.711

d) here P-value =0.711 which greater than level of significance =0.075 so , Fail to Reject Ho.

that is Do not reject Ho

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