The time it takes high school boys to run 100m is a normal distribution with an average of 15 seconds. A coach invites 5 runners. In the test they conducted, they had times of
| 1 | 2 | 3 | 4 | 5 |
| 14.6 | 15.1 | 14.5 | 14.6 | 14.7 |
The mean is 14.7 with S=0.235.
1) Did the coach make good selections for runners?
2) After training, the new times of the boys were
| 1 | 2 | 3 | 4 | 5 |
| 13.9 | 14.8 | 14.0 | 14.0 | 14.3 |
With mean=14.2 and S=0.367.
Was the training effective and improved their running ability?
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