For each of these problems, perform the following steps.

a. State the hypotheses and identify the claim.

b. Find the critical value(s).

c. Compute the test value.

d. Make the decision.

e. Summarize the results.

Use the traditional method of hypothesis testing unless otherwise specified.

In an effort to improve the mathematical skills of 10 students, a teacher provides a weekly 1-hour tutoring session for the students. A pretest is given before the sessions, and a posttest is given after. The results are shown here. At α = 0.01, can it be concluded that the sessions help to improve the students’ mathematical skills?

Transcribed Image Text:

Student 1 2 3 4 5 6 7 8 9 10 71 69 80 85 Pretest 82 76 91 62 81 67 Posttest 88 80 98 80 80 73 74 78 85 93