Forty-Five Participants (15 Per Group)were Randomly Assigned to Do a Series

question 62

Essay

Forty-five participants (15 per group)were randomly assigned to do a series of math tasks while listening to soft-gentle music,while listening to loud-intense music,or while in silence.The means and estimated population variances for the three groups were: Soft-Gentle: M = 37,S² = 28; Loud-Intense: M = 33,S² = 25; Silence: M = 41,S² = 22.Using the .05 significance level,is there a difference in performance on this kind of math task under these three conditions?
a.Use the five steps of hypothesis testing.
b.Sketch the distributions involved.
c.Figure the effect size of this study and indicate whether it is nearer to small,medium,or large.
d.Conduct a planned contrast for the Soft-Gentle versus Silence conditions (using the .05 level).
e.Conduct Scheffé's test for the groups in (d)and indicate the F cutoff,the F you would use for the comparison,and the hypothesis-testing decision (reject or do not reject).
f.Explain the logic of what you did to a person who is familiar with the t test for independent means,but who knows nothing about the analysis of variance.(Be sure your explanation includes the logic of comparing within-groups to between-groups population variance estimates,the logic of how each of these is figured,the F distribution,and the F table.)

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