A medical researcher wishes to determine if a pill has the undesirable side effect of reducingthe blood pressure of the user. The study involves recording the initial blood pressures of 15college-age women. Suppose the data are normally distributed. After they use the pill regularlyfor six months, their blood pressure are again recorded. The data is given bellow.Subject1234567 8Before 70 8072 76 76 7672 789 10 11 12 13 14 1582 64 74 92 74 68 8464 72 74 60 74 72 74After 68 72 62 70 58 66 68 52(a) Calculate a 95% confidence interval for the mean reduction in blood pressure.(b) Does the data support a claim that use if the pill can reduces blood pressureby using one-tailed test at level a = 0.01. If we choose level 0.001 in part (b), what can you conclude.

The data set is,BeforeAfter706880727262767076587666726878528264647274749260747468728474The computation table is given below:BeforeAfterd=After-Before7068-246.248072-80.647262-101.447670-67.847658-1884.647666-101.447268-423.047852-26295.848264-1884.6464728282.247474077.449260-32538.247474077.4468724163.848474-101.44The difference of the mean is computed as follows:The standard deviation of the difference is computed as follows:(a)The degrees of freedom are computed as follows:The confidence interval is 95% (i.e. )The critical value is computed using the R software. The R code and the results are given below:1> qt(p=0.05/2,df=14,lower.tail=FALSE) 2[1] 2.144787Thus, the critical t-value is .The 95% confidence interval for the mean reduction in blood pressure is computed as follows:Hence, the 95% confidence interval for the mean reduction in blood pressure is .The null and alternative hypotheses are:The significance level, The test statistic is computed as follows:P-value:- The p-value is computed using the R software. The R code and the results are given below:1> pt(q=-3.1054,df=14,lower.tail=TRUE) 2[1] 0.003874414Thus, the p-value is .Conclusion based on :Here the . So, reject . Sufficient evidence supports the claim that the pills can reduce blood pressure.Conclusion based on :Here the . So, fail to reject . Insufficient evidence supports the claim that the pills can reduce blood pressure.(a) The 95% confidence interval for the mean reduction in blood pressure is .(b) Conclusion based on : Reject . Sufficient evidence supports the claim that the pills can reduce blood pressure.Conclusion based on :Fail to reject . Insufficient evidence supports the claim that the pills can reduce blood pressure.