**Please type out the answers in numbered form*** Thank you :)

Forty-five participants (15 per group) were randomly assigned to perform 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.

1. Describe the populations and restate the question as a research hypothesis and a null hypothesis (6 pts.).
2. Determine the characteristics of the comparison distribution (8 pts.).
3. dfbetween=
4. dfwithin=
5. Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected. Find your cutoff score on theFtable using the appropriate numeratordfand a denominatordfof40.

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4. Determine your sample's score on the comparison distribution .

1. GM=
2. S2M=
3. S2Between=
4. S2Within=
5. F=
6. Decide whether to reject the null hypothesis.

b. Figure the effect size for this study and indicate whether it is nearer to small, medium, or large (5 pts.).1.R2=

c. Conduct a planned contrast for the Soft-Gentle versus Silence conditions (using the .05 level). 1. What is your new cutoff score on theFdistribution (using a denominatordfof 40)?

2.GM=

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1. S2Between=
2. S2Within(theexact same S2Withinas your overall ANOVA) =

5.F=

6. Decide whether to reject the null hypothesis.

7. Conduct Scheff's test (using theFvalue you figured from your planned contrast) and indicate theFcutoff, theFyou would use for the comparison, and the hypothesis-testing decision (reject or do not reject).