14. (14 points) A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for five randomly selected subjects are given in the accompanying table. Each subject's pain level was assessed both before and after being hypnotized. Subject 2 3 4 5 Before hypnosis 6.6 6.5 9.0 10.3 11.3 After hypnosis 6.8 2.4 7.4 8.5 8.1 d = Before - After a) (6 pts) Find the summary statistics using your calculator Note: na = the number of pairs, d =sample mean difference and s = sample standard deviation of the differences. d = S d nd = a) (4 pts) State the hypotheses needed to test if the pain levels are lower after hypnosis. Use correct notation from class. (Let d = Before - After) st n. b) (4 pts) Find the test statistic for this test, where d = Before - After