In Problems, assume that the data come from populations that are normally distributed with the same variance.

(a) Test H0: µ1 = µ2 = µ3 against H1: at least one of the means is different, where µ1 is the mean for treatment 1, and so on, at the a = 0.05 level of significance.
(b) If the null hypothesis from part (a) was rejected, use Tukey's test to determine which pairwise means differ using a familywise error rate of a = 0.05.
(c) Draw boxplots of the data for each treatment using the same scale to support the analytical results obtained in parts (a) and (b).