2. Homework problem 13 for Chapter 9 described a study by a pharmaceutical company to test the effectiveness of a beta-blocker drug to reduce heart rate of patients during surgery. The investigators wanted to analyze their data using the more powerful pooled-variance t-test. However, this test requires that the two population variances are equal. Exploratory data analysis provided sample standard deviation values ST = 6.8 and S c = 9.3, computed with sample sizes nT = 30 and no = 28. Boxplots of the data distributions were symmetric, with no outliers. You performed an Emax test for the Chapter 9 problem to evaluate whether or not the equal variances assumption was valid. Perform an F-test as described in Chapter 10 to assess if the equal variances assumption is valid. a. Compute Ftest b. DEN DFD C. Fcritical (from F-table) = d. State you conclusion. Should the investigators use the pooled-variance or the separate-variance two-sample t-test? e. Does this conclusion differ from the one you made for Chapter 9 Problem #14, based on the Emax test? f. Briefly state the assumptions for the F-test and whether or not you believe that each assumption is fulfilled. Explain the basis for your answers