1. A track coach claims that their new month long training program will reduce your mile time by 1 minute. You want to statistically test if the training program reduces your mile time by something other than 1 minute. You decide to randomly select 3 people and record their mile times. You then have them follow the coach's training program for a month and record their mile times post training program. The time: of the subjects are listed below. Subject Mile Time Before Training Mile Time After Training 1 9.5 9 2 7 7.] 3 6.7 5.2 4 8.45 6.8 5 6.2 6.2 6 6.3 8 7 7 5.5 8 9 7.3 (a) Wt type of test is appropriate for this experiment set up? (b) State the appropriate hypotheses. (c) How many degrees of freedom are involved in this test? (d) Perform a test of the hypotheses from (a) using a signicance level of 5%. Make sure to compute the test statistic and P-value, and make a conclusion in context