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 6 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.

Subject Mile Time Before Training Mile Time After Training
1 9.5 7.1
2 7 5.2
3 6.7 6.8
4 8.45 6.2
5 6.2 5.5
6 6.3 7.3

(a) What type of test is appropriate for this experiment set up?
(b) State the appropriate hypotheses