Surgeons at the West Suburban Hospital in Chicago have two procedures for performing appendectomies.They feel that Procedure 1 not only takes longer but also has a higher variance in the time it takes to perform an appendectomy than Procedure 2.A sample of 8 appendectomies using Procedure 1 had a mean of 38 minutes with a variance of 36 minutes, while a sample of 10 appendectomies using Procedure 2 had a mean of 29 minutes with a variance of 16 minutes.Your task is to test the null hypothesis that the variance is the same for both procedures versus the alternative hypothesis that the variance for Procedure1islargerthan the variance for Procedure2.Test at the .05 level. Conduct this as anupper-tailed(right-tailed) test.Becarefulwith any subscript notation. Also, be careful setting up yourtest statisticfor this upper-tailed test.

(a)State the null and alternative hypotheses as the ratio of two variances.

(b)Establish the decision rule:provide the critical value and clearly specify the reject and fail-to-reject regions.

(c)Calculate the test statistic.

(d)Make a decision about the null hypothesis.What is the mathematical reason for your decision?

e)What conclusion can you offer about the variances of the two procedures?Specifically, what evidence do you have about the argument made in the alternative hypothesis?