Question
In: Statistics and Probability
An instructor for a test preparation course claims that the course will improve the test scores...
An instructor for a test preparation course claims that the course will improve the test scores of students. The table shows the critical reading scores for 14 students the first two times they took the test. Before taking the test for the second time, the students took the instructor's course to try to improve their critical reading test scores. At a = 0.01, is there enough evidence to support the instructor's claim? Complete parts (a) through (f). number of students:14. score on first test:474,585,482,618,330,461,638,472,547,606,577,390,473,529. Score on the second test:476,656,558,647,298,481,598,574,627,659,614,424,497,542 (b) Find the critical value(s) and identify the rejection region(s). c) Calculate d overbar and s Subscript d. (d) Use the t-test to find the standardized test statistic t. (e) Decide whether to reject or fail to reject the null hypothesis. (f) Interpret the decision in the context of the original claim.
Solutions
Expert Solution
Let us denote the difference
d = score on first test - score on the second test
Conclusion : There is sufficient evidence to support the instructor's claim that the course will improve the test scores of students.
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