3. Consider the following observations for two treatment groups: A vs B. A 11 36 25 48 51 B 56 64 70 18 90 (a) Suppose that the distribution of group B is given by shifting that of group A to the right by an amout A, i.e., FB(x) = FA(x - A). Give a 95% two-sided confidence interval for the shift parameter A. (b) Test for differences between the distributions of the two treatment groups using the Kolmogorov-Smirnov test at significance level a = 0.05