For a study of the effects of different types of exercise on HDL (the so-called "good cholesterol), researchers recruited 40 men, aged 20 to 24, who were nonathletic but otherwise healthy men. The men were randomized into one of two fitness programs: weight training or aerobic exercise. After six months in these programs, the HDL levels of the men were measured and are summarized in the following table. Program Weight training Aerobic exercise HDL (mg/dL) n Sample mean 20 52.0 Sample std dev 11.0 20 57.2 9.5 Is there evidence of any difference between weight training and aerobic exercise with respect to HDL levels in 20- to 24-year-old men after six months? a. State the null and alternative hypotheses. b. Carry out the appropriate analysis using the critical value method at level = .05. F19.19.95 -2.168 F19,19.975 2.526 F20, 20, 95 = 2.124 F20,20,.95 F20,20,975 = 2.464 37,95 = 1.687 37.975 = 2.026 38.95 = 1.686 38.975 = 2.024 39.95 1.685 140.95 = -1.684 40,.975 39.975 = 2.023 = 2.021