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K Nine experts rated two brands of coffee in a taste-testing experiment. A rating on a 7-point scale (1 = extremely unpleasing, 7 =
K 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. Click the icon to view the data table. a. At the 0.05 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 be the mean rating for brand B. Determine the null and alternative hypotheses for this test. OA. Ho HD #0 (where HD H1-H2) H: HD = 0 OC. Ho HD =0 (where HD H1 H2) H: HD #0 B. Ho HD 20 (where D = - 2) H: HD 0 Data table n 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.) Expert C.C. S.E. Since the test statistic the critical value(s), Ho. There is evidence to E.G B.I. C.M. b. What assumption is necessary about the population distribution in order to perform this test? C.N. G.N. A. It must be assumed that the distribution of the differences between the measurements is skewed. R.M. B. It must be assumed that the distribution of the differences between the measurements is approximately normal. OC. It must be assumed that the distribution of the differences between the measurements is approximately uniform. P.V. 222222222 Brand A 24 Brand B 26 18 21 24 19 21 25 27 23 222222222 25 26 26 26 26 25 24 c. Determine the p-value in (a) and interpret its meaning. The test statistic gives a p-value of (Type an integer or a decimal. Round to three decimal places as needed.) Print Done
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