[Additional Problem 1 (for submission on Carmen)] Suppose we are testing the appeal of two different web pages, advertising the same products. We post links to the advertisements on a social media platform, and users who click on the links are randomly assigned to see either web page A or web page B. The following are data for the amount of time users spend looking at the advertisements on their assigned web page (in seconds): Web Page A : 7.2 1.8 2.7 28.2 5.3 Web Page B : 16.3 1.7 3.0 2.5 4.5 The question of interest is whether the average amount of time a user spends looking at the advertisements differs based on the web page (A or B) they are assigned to visit. (a) State appropriate null and alternative hypotheses in terms of well-defined parameters. (b) Assuming that the data are distributed according to an ANOVA model, carry out an ap- propriate hypothesis test at the 0.05 level of significance, noting the critical values fo.05,1,8 = 5.318 and fo.10,1,8 = 3.458. What assumptions does the ANOVA model make? Do you believe that these assumptions are met? (c) Now carry out the appropriate U-test at the 0.05 level of significance, noting the critical values Uo.05,5,5 = 2 and Uo.10,5,5 = 4. What assumptions do you make when you carry out this test? Do you believe that these assumptions are met