Question: A new conditioning program is being touted as being able to improve times for young athletes running sprint events. Among your seventh, eighth, and ninth grade athletes, you have 15 100-meter hopefuls. The coaching staff agrees to try the new program with these 15 runners. At the beginning of the season, the students are asked to run three 100s and the average time for each is recorded. The students are placed on the new conditioning program and at the end of the season, each is again timed for three 100 meter sprints and the average recorded. Here are the averages for the beginning and end of the season for each of the 15. What do the data suggest about the new training program? Discuss any holes there may be in this design.

Subj begin end

1 12.70 12.17

2 12.01 11.58

3 12.27 12.10

4 13.70 13.76

5 12.16 12.35

6 12.26 11.84

7 13.03 12.34

8 12.98 13.06

9 11.94 12.09

10 13.38 12.57

11 12.74 12.78

12 12.17 11.90

13 12.44 12.08

14 13.07 12.98

15 13.02 13.35