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 (secs) 112.1 108 108 117.2 116.8 118.4 118.1 112.1 Time after training (secs) 112.7 107.6 105.6 118 116.5 118.5 114.5 108.2 Using a 0.10 level of significance, test the claim that the training helps to improve the athletes’ times for the 800 meters. What is the decision for this test? 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 (secs) 112.1 108 108 117.2 116.8 118.4 118.1 112.1 Time after training (secs) 112.7 107.6 105.6 118 116.5 118.5 114.5 108.2 Using a 0.10 level of significance, test the claim that the training helps to improve the athletes’ times for the 800 meters. What is the decision for this test? Fail to reject the null because the test statistic is not in the critical region and the p-value is greater than alpha. Fail to reject the null because the test statistic is not in the critical region and the p-value is less than alpha. Reject the null because the test statistic is in the critical region and the p-value is less than alpha. Reject the null because the test statistic is in the critical region and the p-value is greater than alpha. Fail to reject the null because the test statistic is in the critical region and the p-value is greater than alpha.
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 (secs) |
112.1 |
108 |
108 |
117.2 |
116.8 |
118.4 |
118.1 |
112.1 |
|
Time after training (secs) |
112.7 |
107.6 |
105.6 |
118 |
116.5 |
118.5 |
114.5 |
108.2 |
Using a 0.10 level of significance, test the claim that the training helps to improve the athletes’ times for the 800 meters. What is the decision for this test?
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 (secs) |
112.1 |
108 |
108 |
117.2 |
116.8 |
118.4 |
118.1 |
112.1 |
|
Time after training (secs) |
112.7 |
107.6 |
105.6 |
118 |
116.5 |
118.5 |
114.5 |
108.2 |
Using a 0.10 level of significance, test the claim that the training helps to improve the athletes’ times for the 800 meters. What is the decision for this test?
Fail to reject the null because the test statistic is not in the critical region and the p-value is greater than alpha.
Fail to reject the null because the test statistic is not in the critical region and the p-value is less than alpha.
Reject the null because the test statistic is in the critical region and the p-value is less than alpha.
Reject the null because the test statistic is in the critical region and the p-value is greater than alpha.
Fail to reject the null because the test statistic is in the critical region and the p-value is greater than alpha.
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