Independent random samples were selected from two normally distributed populations with means # and #2, respectively. The sample sizes, means, and variances are shown in the following table: Sample 1 Sample 2 1 = 12 = 14 17.8 15.3 = 74.2 =60.5 a. Test Ho: (#1 - 12) = 0 against Ha: (#1 - #2) > 0. Use a = .05. b. Form a 99% confidence interval for ( - (2). c. How large must n, and n2 be if you wish to estimate (#1 - 12) to within two units with 99% confidence? Assume that m = /2