Please answer question below thoroughly and show work! Much appreciated!!

3. A psychologist conducts a battery of tests that are claimed to assess the \"Personality scores.\" of individuals. On the basis of such tests conducted on n=6 men before and after marriage, the following scores were obtained: Priortomarriage(z.-) 15 12 22 13 5 8 After marriage (yg) 10 8 6 8 12 5 (a) Does the data indicate a \"personality change" as a result of marriage? Test an ap- propriate null hypothesis assuming that the data. follows a Normal distribution (Use a = 0.10) (b) Assuming that the Normal assumption is not valid, use the Sign Test to test the same hypothesis. Find the p-value, and indicate what you would conclude. (c) Test again the same hypothesis using the Wilcoxon Signed Rank teat, use (a = 0.10)