This exercise is a "what-if analysis" designed to determine what happens to the test statistics and interval estimates when elements of the statistical inference change. This problem can be solved manually. Random samples from two normal populations produced the following statistics: S = 340 21 = 32 = 680 n2 = 32 (a) Can we infer at the 109% significance level that the two population variances differ? State the null and alternative hypotheses. Ho : = v 1 H1 v 1 Calculate the test statistic. x Use technology to find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. There is enough evidence to conclude that the population variances differ. (b) Repeat part (a) changing the sample sizes to n1 = 16 and n2 = 16. Calculate the test statistic. Use technology to find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. There is not enough evidence to conclude that the population variances differ. (c) Describe what happens to the test statistic when the sample sizes decrease. The value of the test statistic is stays the same v