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A Coach Uses a New Technique in Training Middle Distance

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A coach uses a new technique in training middle distance runners.The times for 8 different athletes to run 800 metres before and after this training are shown below. A coach uses a new technique in training middle distance runners.The times for 8 different athletes to run 800 metres before and after this training are shown below. Do the data suggest that the training helps to improve the athletes' times for the 800 metres? Perform a Wilcoxon signed-rank test at the 5% significance level.
Do the data suggest that the training helps to improve the athletes' times for the 800 metres? Perform a Wilcoxon signed-rank test at the 5% significance level.

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H0: The distributions of times were ident...

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