(2 pts) A company that sponsors LSAT prep courses would like to be able to claim
ID: 3319413 • Letter: #
Question
(2 pts) A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores by at least 3 percentage points. 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%): Person12345678Initial Test7668747373797060Post-Test8080858673846959 Is there evidence, at an =0.025 level of significance, to conclude that the prep course improves scores by at least 3 percentage points? Carry out an appropriate hypothesis test, filling in the information requested. (Arrange your data so that the test statistic is for the change from the initial test to the post-test.) A. The value of the test statistic: B. The p-value is D. Your decision for the hypothesis test: A. Reject HA. B. Reject H0. C. Do Not Reject H0. D. Do Not Reject HA.
Explanation / Answer
The statistical software output for this problem is:
Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Post - Test and Pre - Test
H0 : D = 0.03
HA : D > 0.03
Hypothesis test results:
Hence,
A) Test statistic = 2.5508
B) p - Value = 0.0190
D) Reject Ho
Difference Mean Std. Err. DF T-Stat P-value Post - Test - Pre - Test 5.375 2.0953818 7 2.5508477 0.019Related Questions
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