Stat 250 Bonus 5% for Test 3 1. Recently there has been quite a bit of controversy about the lack of definitive knowledge about the adverse side effects associated with hormone based birth control usage. Suppose a researcher is interested in the effects of birth control in women aged 18-25 relevant to blood pressure. The researcher assumes that women in this demographic that are taking hormone based birth control are at risk for increased blood pressure. Assume the following table contains the summary statistics of two surveys, one from a cohort of women taking hormone based birth control, and one from a cohort of women birth control free. Study Arm Birth Control No Birth Control Average Systolic Blood Pressure (mmHG) 124 116 Sample Standard Deviation Sample Size 6.8 4.3 246 267 A) Carry out the appropriate statistical procedure to determine if there is a significant difference in the systolic blood pressure between the two groups of women. Write out your null and alternative hypotheses and interpret your results. (Use an alpha level of 0.05) B) Construct a 95% confidence interval for the average difference in systolic blood pressure between the two groups of females. Provide an interpretation for your interval. c) Construct a 98% confidence interval for the mean systolic blood pressure for women who are birth control free