I attached the problem.

3. Research has shown that losing even one night's sleep can have a signicant effect on the performance of complex tasks such as problem solving (Lind & m, 1992). To demonstrate this phenomenon, a sample of n = 20 college students was given a problem-solving task at noon on one day and again at noon on the following day. The students were not permitted any sleep between the two tests. For each student, the difference between the rst and second score was recorded. For this sample, the students' mean difference averaged 6.3 better on the rst test (MD%.3), with SD for the difference scores = 12. Use the formulas below. Mo E = SMD 5:) SMD r a. What are the null and alternative hypotheses for this test (in symbols)? Use a two-tailed test. b. Do the data demonstrate a signicant change in problem-solving ability? Use a two-tailed test with a = .05. Show all of your work. c. Compute effect size ((1) to measure the size of the effect. Use the formula below. Is this a small, medium, or large ewt? M Cohen'sd2 l DI 5o