Several retired bicycle racers are coaching a large group of young prospects. They randomly select seven of their riders to take part in a test of the effectiveness of a new dietary supplement that is supposed to increase strength and stamina. Each of the seven riders does a time trial on the same course. Then they all take the dietary supplement for 4 weeks. All other aspects of their training program remain as they were prior to the time trial. At the end of the 4 weeks, these riders do another time trial on the same course. The Q5. times (in minutes) recorded by each rider for these trials before and after the 4-week period are shown in the following table. Before 103 97 111 95 102 96 108 After 100 95 104 101 96 91 101 Assume that the population of paired differences is (approximately) normally distributed. (a) Test at the 2.5% significance level whether taking this dietary supplement results in faster times in the time trials. (b) Find the p-value of the test. Good luck.. .