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Assume that two dependent samples have been randomly selected from normally distributed populations. A coach uses...

Assume that two dependent samples have been randomly selected from normally distributed populations. A coach uses a new technique to train gymnasts. 7 gymnasts were randomly selected and their competition scores were recorded before and after the training.

Subject A B C D E F G
Before 9.4 9.7 9.6 9.5 9.7 9.6 9.7
After 9.5 9.9 9.6 9.4 9.8 9.9 9.5

a. Using a 0.05 significance level, test the claim that the training technique is effective in raising the gymnasts’ scores.

b.  Find a 95% confidence interval for the training technique increase in scores.

Math   Statistics-And-Probability   
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