[Solution] A coach uses a new technique in middle distance runners. The times for 8 different athletes to run 800 meters before and after this training are
Question: A coach uses a new technique in middle distance runners. The times for 8 different athletes to run 800 meters before and after this training are shown below. Use a 0.05 significance level to test the claim that training helps to improve the athletes’ time for the 800 meters.
| Athlete | A | B | C | D | E | F | G | H |
| Time before training (in Seconds) | 108.7 | 116.3 | 118.5 | 110.5 | 114.5 | 109.6 | 111.1 | 112.8 |
|
Time after training
(in seconds) |
110.4 | 115.5 | 113.7 | 112 | 112.2 | 109.9 | 106.5 | 108.9 |
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