Consider the data from Example 11.2.1 on the weight gain of lambs. The MS(within) from the ANOVA for these data was 23.333. The sample mean of diet 2 was 15 and of diet 1 was 11.
(a) Use the Bonferroni method to construct a 95% confidence interval for the difference in population means of these two diets (assuming that intervals will also be computed for the other two possible comparisons as well).
(b) Suppose that the comparison in part (a) was the only comparison of interest (i.e., one comparison rather than three). How would the interval in part (a) change? Would it be wider, narrower, or stay the same? Explain.