Question

A coach uses a new technique to train gymnasts. Seven gymnasts were randomly selected and their competition scores were recorded before and after their training. The results are show on below ( let "before" be considered as sample 2 and "after" be considered as sample 1)
Subject A B C D E F G
Before 9.6 9.4 9.5 9.7 9.7 9.4 9.7
After 9.7 9.6 9.5 9.6 9.8 9.7 9.5

The mean difference score was 0.057 and the standard deviation of differences is 0.172. Using a 0.05 significance level, test the claim that the training technique is effective in raising gymnasts scores by providing the following:
a. the null and alternative hypothesis
b. the test statistic
c. the pvalue
d. state the final conclusion

Answer 1