For questions 7-12, refer to the following information: 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 following questions.

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

Difference

Difference Mean

Difference SD

What is the most appropriate statistical test for the given claim?

What is the null hypothesis H₀?

What is the alternative hypothesis H₁?

What critical value(s) should you use to test the given hypothesis?

What is the value of the test statistic you should use to test the given hypothesis?

What conclusion should you make based on the given data?