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.

Soft Gentle Music Loud Intense Music Silence Mean $2 N DF Step 1: Null hypothesis and research hypothesis Step 2: Determine the characteristics of the comparison group df Between = N Groups - 1 DfBetween = df Within = df 1 + df2 + ... + df Last DfWithin = F distribution with and Step 3: Determine the cut off score Hint: Use the F table based on the degrees of freedom for between and within Step 4: Determine your sample's score on the comparison distribution. Means (M-GM) Squared 33 -4 16 41 4 16 37 0 0 SUM 111 32 Grand Mean DFbetween