The following is a summary statistics for independent simple random samples from two populations. Population 1: x1 = 10, s1 = 2, n1 = 15 Population 2: x2 = 12, s2 = 5, n2 = 15 We wish to make a two-tailed test at 5% significance level. Answer the following questions. (a) Which is more appropriate test: nonpooled or pooled? (b) State the null and alternative hypotheses. (c) What is the probability of making type I error? (d) Compute the value of the test statistics. (e) Find the critical value and draw the rejection region using df=18. (f) Find the p-value using df=18. (g) State your decision. (h) Find a 95% confidence interval.