In the one-way layout with c groups and a fixed common sample size n, consider simultaneous confidence intervals for pairwise comparisons of means, using family-wise error probability ???? = 0.05. Using software such as R, analyze how the ratio of margins of error for the Tukey method to the Bonferroni method behaves as c increases for fixed n and as n increases for fixed

c. Show that this ratio converges to 1 as ???? approaches 0 (i.e., the Bonferroni method is only very slightly conservative when applied with very small ????).