Atrack 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 8 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 times of the subjects are listed below.
col1 subject mile time before training 9.5 7 6.7 8.45 6.2 6.3
col2 mile time after training 7.1 5.2 6.8 6.2 4 5.5 7.3
(a) what 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 significance level of 5%. make sure to compute the test statistic and p-value, and make a conclusion in context.