The Medassist Pharmaceutical Company wants to test Dozenol, a new cold medicine intended for night use. Tests for such products often include a "treatment group" of people who use the drug and a "control group" of people who don't use the drug. Fifty people with colds are given Dozenol, and 100 others are not. The systolic blood pressure is measured for each subject, and the sample statistics are as given in the margin. The head of research at Medassist claims that Dozenol does not affect blood pressure- that is, the treatment population mean tij and the control population mean μ1 are equal.
a. Test that claim using a significance level of 0.01. Based on the result, would you recommend "advertising that Dozenol does not affect blood pressure
b. Construct a 99% confidence interval for μ1 - μ2 where μ1 and μ2 represent the mean for the treatment group and the control group, respectively.