Question 4 A data analyst is tasked to investigate the price of gasoline in two cities. Ten service stations were selected randomly in each of the two cities and the data shown below represents the prices of a gallon on unleaded regular gasoline on a given day. Determine whether there is a significant difference in the variances of the prices of unleaded regular gasoline between these two cities. Let alpha = .01. Assume gasoline prices are normally distributed. (Chap 10.5 Testing hypotheses about two population variances using the F test) (6 points) City 1 City 2 3.43 3.33 Below is the given data: 3.40 3.42 n, = 10 df = 9 72 = 10 df1 = 9 3.39 3.39 Ho: 01 = 02 a = .01 0/2 =.005 3.32 3.30 3.39 3.46 3.38 3.39 3.34 3.36 3.38 3.44 3.38 3.37 3.28 3.38 a. Variance for City 1s (get from F test function) = run the F test function and put b. Variance for City 2s 2 (get from F test function) = here to get the values c. Upper tail critical F value is (need to calculate manually using equation) = for the variances. Not recommended to use the d. Lower tail critical F value is (need to calculate manually using equation) = other numbers as the values e. F value = are for a single tail test, where this d. Reject or fail to reject the null hypothesis? problem is a two tail test g. Write out below in long hand the answer to the hypothesis test: Example of a "long hand" answer where the null hypothesis was not rejected: Because the observed F value was greater than the critical F value on the lower tail, and less than the critical F value on the upper tail, the null hypothesis was not rejected; thus