Forty-eight participants were randomly assigned to do math tasks under one of three conditions: 16 while listening to soft gentle music, 16 while listening to loud intense music, and 16 while in silence. The means and estimated population variances for the three groups were: Soft-gentle: M = 33, S² = 25; Loud-intense: M = 42, S² = 36; Silence M = 42,
S²= 16.
Do these results suggest that there is a difference in performance on this kind of math task under these three conditions? (Use the .05 level.)
a. Use the five steps of hypothesis testing.
b. Sketch the distribution involved.
c. Figure the effect size of the study.
d. Explain the logic of what you have done-be sure your explanation includes the logic of comparing within groups to between-group population variance estimates, the F distribution and the F table.

Question

Quizplus · Accepted Answer

The Answer of Forty-eight participants were randomly assigned to do math tasks under one of three conditions: 16 while listening to soft gentle music, 16 while listening to loud intense music, and 16 while in silence. The means and estimated population variances for the three groups were: Soft-gentle: M = 33, S² = 25; Loud-intense: M = 42, S² = 36; Silence M = 42, S²= 16. Do these results suggest that there is a difference in performance on this kind of math task under these three conditions? (Use the .05 level.) a. Use the five steps of hypothesis testing. b. Sketch the distribution involved. c. Figure the effect size of the study. d. Explain the logic of what you have done-be sure your explanation includes the logic of comparing within groups to between-group population variance estimates, the F distribution and the F table.

Forty-Eight Participants Were Randomly Assigned to Do Math Tasks Under