A coach uses a new technique in training middle distance runners. The times for 8 different athletes to run 800 meters before and after this training are shown below.
Athlete A B C D E F G H Time before training (seconds) 112.7 115.2 109.2 117.2 113.9 118.7 115.2 110.4 Time after training (seconds) 113.3 113.9 106.8 118 112.1 118.8 111.6 106.5
Using a 0.05 level of significance, test the claim that the training helps to improve the athletes' times for the 800 meters.