2. In a trial for a new blood pressure medicine, 843 women age 45 - 55, who were recommended for the trig by their cardiologists were randomized into treatment (419 women) and control (424 women) groups. The women in the treatment group were given the new drug to take twice daily, and the women in the control group were given a placebo (also taken twice daily). All the women received literature and counseling on good nutrition and exercise regimes. Blood pressure varies throughout the day, so before the trial began, each subject had their blood pressure measured several times throughout the day, using a high-tech automatic blood-pressure cuff, and their mean systolic blood pressure was recorded as their before-trial blood pressure. The mean before-trial blood pressures in the treatment group was 152.1 mmHg (millimeters of mercury) with a standard deviation of 16.3 mmHg, and in the control group the mean was 152.6, with a standard deviation of 15.9 mmHg. For reference, systolic blood pressure below 120 mmHg is considered to be normal, systolic blood pressure between 120 and 129 is considered borderline high, systolic blood pressure between 130 and 139 is considered high, and systolic blood pressure of 140 or above is considered very high.t The subjects were followed for six months and at the end of the trial, each subject's blood pressures was measured again several times over the course of a day, and the mean of these measurements was recorded As their after-trial blood pressure. The mean after-trial blood pressure in the treatment group was 134.6 mmHg, with a standard deviation of 15.9, and the mean in the control group was 145.2 mmHg, with a standard deviation of 23 4 (a) (2 pts) The trial was done blind. but not double blind. Do you think that this matters in this case. Explain your reasoning brieft (*) Given the size of the samples, we may assume that the t-distribution may be used to study the difference between the sample means. (b) (3 pts) find a 95%-confidence interval for the difference in (population) means of the blood pressures of women who take the drug for 6 months and those that do not, (c) (2 pts) Suppose that you test the (null) hypothesis that the drug has no effect at the 1% significance level, using the given statistics. Find the t-score and the p-value for this test. Show your work. (d) Summarize your conclusions: 1. (1 pt) Is the statistical evidence strong enough to reject the null hypothesis that the drug has no effect? Why or why not? ii. (2 pts) Do the data support the drug manufacturer's claim that the drug works to reduce blood pressure to an extent that is medically beneficial? Explain briefly, in terms of all the information given above