14.6 ANOVA and box plots For two studies, each comparing three groups, the box plots below show results. (Each box plot is based on a random sample of size 40.)

a. Judging from the box plots, which study will more likely lead to a rejection of the ANOVA null hypothesis of equal population means? Explain.

b. Which study will have the large value for the F test statistic? Why?

c. The P-value for the ANOVA F test for the second study equals 0.001. Does this necessarily imply that all three population means are different from each other?

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1 2 3 Study 1 Study 2 Group N. 2 3