Question

The time it takes high school boys to run 100m is a normal distribution with an...

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

Running times
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

New Running times
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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