Question

Use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations.

5) 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 (seconds) 116 115.9 118.6 109.7 111.5 113 119 116 Time after training (seconds) 116.6 114.6 116.2 110.5 109.7 113.1 115.4 112.1 Using a 0.05 level of significance, test the claim that the training helps to improve the athletes' times for the 800 meters.

Math   Statistics-And-Probability   
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To test the hypothesis we will use t test for dependent samples.

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