14.66 What causes large or small F? An experiment used four groups of five individuals each. The overall sample mean was 60.

a. What did the sample means look like if the one-way ANOVA for comparing the means had test statistic F = 0? (Hint: What would have to happen for the between-groups variability to be 0?)

b. What did the data look like in each group if F = infinity? (Hint: What would have to happen for the within-groups variability to be 0?)