Researchers conducted a study to investigate some effects of physical training. The sample data provided below represent forced expiratory volume (FEV) before (pre) and after (post) training. The sample mean of the differences between the posttraining and pretraining weights is .32. The sample standard deviation is .40. Using a 0.05 significance level, you need to test the claim that training raises the FEV within subjects post training, i.e. that the mean value of the differences (post - pre) is greater than 0. To do so, answer each of the followingquestions.

pre: 5.29 4.32 4.91 4.44 3.87 4.52 3.12 3.95

post: 5.02 4.63 4.86 4.67 4.45 4.71 4.15 4.48

1. what is the most appropriate statistical test for the given claim?
2. what is the null hypothesis
3. what is the alternative hypothesis?
4. what is the critical value
5. what is the test statistic
6. what is the conclusion