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, richness, and acidity. The accompanying data table contains the ratings accumulated over all four characteristics. Complete parts (a) through (d) below. E Click the icon to view the data table. a. At the 0.10 level of significance, is there evidence of a difference in the mean ratings between the two brands? Let u, be the mean rating for brand A and uz be the mean rating for brand B. Determine the null and alternative hypotheses for this test. O A. Ho: Ho 20 (where Po "H -2) OB. Hg: Ho = 0 (where up =H1 -2) H: Ho #0 Data Table H;: PD <0 OD. Hg: Ho s0 (where Ho =H1 -2) OC. Ho: Ho *0 (where Po =H1 -P2) H: Ho =0 H,: Hp >0 Expert C.C. Brand A 22 Brand B 24 The test statistic is tSTAT =. (Type an integer or a decimal. Round to two decimal places as needed.) S.E. 23 23 E.G 18 19 В. 23 25 The critical value(s) is(are). C.M. 23 24 C.N. 24 25 (Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.) G.N. 25 24 Since the test statistic |the critical value(s). | Ho- There is V evidence to conclude that the mean ratings are different between the two brands. R.M. 23 24 P.V. 23 25 b. What assumption is necessary about the population distribution in order to perform this test? Print Done O A. It must be assumed that the distribution of the differences between the measurements is approximately normal. O B. It must be assumed that the distribution of the differences between the measurements is skewed. Oc. It must be assumed that the distribution of the differences between the measurements is approximately uniform. c. Determine the p-value in (a) and interpret its meaning. The test statistic gives a p-value of