An online retailer has come up with two new layouts for their website. To determine whether they should revamp the website, a focus group of 8 individuals is put together. These 8 individuals will each purchase a set basket of items using each version of the website: the current version, the first new version, and the second new version. After each purchase, they are asked to rate the experience on several factors. From these ratings, an overall experience rating is calculated. The results are shown in the table below. ID # - 2345678 Current Website 1st New Version 2nd New Version Person Total 1 12 14 10 P = 36 N = 24 11 14 13 P2 = 38 G = 312 EX = 13 13 12 P3 = 38 4224 11 20 9 P = 40 10 18 13 P = 41 11 14 13 P6 = 38 13 17 10 P7 = 40 12 17 12 P8 = 41 T=93 T=127 T=92 M = 11.625 SS = 7.875 M = 15.875 SS = 42.875 M = 11.5 SS = 18 Using a significance level of a = 0.01, conduct an ANOVA F test by filling in the missing information below and answering all of the questions. Express any numerical answers rounded to two decimal places. Be sure to use unrounded values within all calculations (even those that have already been expressed as a rounded number). Hypotheses: H: at least two means are different from each other Test Statistic: Complete the following ANOVA summary table. Source SS Between Treatments Within Treatments Between Subjects Error Total The test statistic resulting from the data is df MS F Critical Value: For this test, we use a critical value of as our cutoff point. Decision: Based on the results above, we would [Select an answer Conclusion: The conclusion we would draw is : we conclude that the website version has an effect on user experience we cannot disprove that the website version has an effect on user experience O we conclude that the user experience of the different website versions are all the same O we cannot disprove that the user experience of the different website versions are all the same Complete the following post-hoc test regardless of whether you rejected or failed to reject the null hypotehsis. Scheff Test: Use the Scheff Test to determine whether each website pair had significantly different average experience ratings. Current Website and 1st New Version: MS between= Fstat MSerror Current Website and 2nd New Version: MS between MS error Fstat= 1st New Version and 2nd New Version: M Sbetween = MSerror = Fstat Select the website pairs that would be considered significantly different. Current Website and 1st New Version Current Website and 2nd New Version 1st New Version and 2nd New Version