A coach uses a new technique in training middle distance runners. The times for 9 different athletes to run 800 meters before and after this training are shown below.
Athlete | A | B | C | D | E | F | G | H | I |
Time before training | 115.2 | 120.9 | 108.0 | 112.4 | 107.5 | 119.1 | 121.3 | 110.8 | 122.3 |
Time after training | 116.0 | 119.1 | 105.1 | 111.9 | 109.1 | 115.2 | 118.5 | 110.7 | 120.9 |
a. Construct a 99% confidence interval for the mean difference in time before and after training.
<differenceintime< Keep your values in 2 decimal places.
b. What can youconclude from the confidence interval? Hint:Is trainging effective? Why?
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