Suppose you want to test whether there is a difference in means in a matched pair, "before and after" situation. If you know that the populations under investigation are at least mound-shaped and symmetric and you have a large sample, is it better to use the parametric paired differences test or the nonparametric sign test for matched pairs? Explain.

For Problems 3-10, please provide the following information.

(a) State the test used.

(b) Give a. State the null and alternate hypotheses.

(c) Find the sample test statistic.

(d) For the sign test, rank-sum test, and Spearman correlation coefficient test, find the P-value of the sample test statistic. For the runs test of randomness, find the critical values from Table 10 of Appendix II.

(e) Conclude the test and interpret the results in the context of the application.