In a study of risk factors for cardiovascular disease, researchers measured the serum cholesterol levels of independent samples of women and men, all between the ages of 55 and 64. The following table summarizes the results. Serum cholesterol (mg/dL) Group Women n Sample mean Sample st dev 36 Men 50 232.7 218.9 21.6 41.0 Is there evidence that, between the ages of 55 and 64, women and men have different mean serum cholesterol levels? a. Let , and be the true mean serum cholesterol levels of women and men, ages 55 to 64, respectively. State the hypotheses in terms of , and 2. b. Carry out the appropriate analysis using the critical value method at level = .05. Use the following percentiles. F35,49,.95 =1.66 F35,49,.975 = 1.83 77,.95 =1.665 77,.975 = 1.991 F49,35,.95 = 1.71 F 49,35,.975 = 1.89 184,95 = 1.663 84.975 = 1.989