For this exercise, we will use Table 13.4, reprinted here, for the sample means. This time, however, imagine that the size of each sample (n) is 7 and that you do not know MSW. Fortunately, you are given the results of the ANOVA: F(4, 30) = 5.53.

Table 13.4 Means for the Music Experiment Data in Table 12.1B

Table 12.1B

a. Find the error term for the ANOVA and use it to calculate Tukey's HSD.

b. Which types of music differ significantly from which other types, according to Tukey's HSD test?

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Bluegrass Classical New Age Heavy metal Jazz 20.2 8.0 14.2 22.4 8.2 A. Within-group variation and between-group variation are about equal 2 3 4 5 16 4 16 14 13 12 16 4 14 13 13 10 16. 14 12 10 10 16 4 12 12 12Y 14 13 13 10 10 within-group variation Sample means: 14.2 13.2 12.4 13.2 12.0 between-group variation Standard deviations: 1.789 2.168 2.608 1.789 1.871 grand mean = 13.0 B. Between-group variation is much greater than within-group variation 2 3 4 5 16 16 14 13 12 23 21 20 20 17 264 24 22 20 20 10 9. 9. 6. 6. 114 within-group variation Sample means: 14.2 20.2 22.4 8.2 8.0 between-group variation Standard deviations: 1.789 2.168 2.608 1.789 1.871 grand mean = 14.6 4222