Nine experts rated two brands of coffee in a taste-testing experiment. A rating on a 7-point scale (1 extremely unpleasing. 7 extremely pleasing) is given for each of four characteristics: taste aroma Krichness, and acidity. The accompanying data table contains the ratings accumulated over all four characteristics. Complete parts (a) through (d) below Click the icon to view the data table a. At the 0.01 level of significance, is there evidence of a difference in the mean ratings between the two brands? Let be the mean rating for brand A and p; be the mean rating for brand B. Determine the null and alternative hypotheses for this test OA Ho Ho 0 (where po P1 P2) H: No=0 OC. Ho Po 0 (where po" "H2) OB. Ho Ho 20 (where o OD. HP 50 (where Ho) The test statistic (Type an integer or a decimal. Round to two decimal places as needed.) The critical value(s) is (are) (Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic the critical value(s). H. There is b. What assumption is necessary about the population distribution in order to perform this test? A. It must be assumed that the distribution of the differences between the measurements is skewed. evidence to conclude that the mean ratings are different between the two brands 8. It must be assumed that the distribution of the differences between the measurements is approximately uniform OC. It must be assumed that the distribution of the differences between the measurements is approximately normal c. Determine the p-value in (a) and interpret its meaning The test statistic gives a p-value of Clear all Check answer The test statistic (Type an integer or a decimal Round to two decimal places as needed) The critical value(s) is (are) (Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic the critical value(s). H. There is b. What assumption is necessary about the population distribution in order to perform this test? OA. It must be assumed that the distribution of the differences between the measurements is showed evidence to conclude that the mean ratings are different between the two brands OB. must be assumed that the distribution of the differences between the measurements is approximately uniform OC. It must be assumed that the distribution of the differences between the measurements is approximately normal 6. Determine the p-value in (a) and interpret meaning The test statistic gives a p-value of (Type an integer or a decimal. Round to three decimal places as needed.) Interpret the meaning of the p-value in (a). Choose the comect answer below. OA. The p-value is the probability of falling to reject the null hypothesis when it is actually false OB. The p-value is the probability of obtaining a sample mean difference at least as extreme as this one if the population mean ratings for the two brands are the same C. The p-value is the probability of obtaining a sample mean difference less extreme than this one if the population mean ratings for the two brands are the same. Clear all Check answer Data table Expert Brand A Brand B C.C. S.E. E.G a B.I. C.M. me C.N. G.N. he R.M. he P.V. 222222222 23 26 19 21 19 25 26 24 19 222222222 24 26 21 24 26 25 25 21 d of Su ue Print Done ility of failing to reject the null hypothesis when it is actually false. bility of obtaining a sample mean difference at least as extreme as this one if the p