Eighteen experts rated two brands of Colombian coffee in a taste-testing experiment. A rating on a 7-point scale (1=1= 1 equals extremely unpleasing, 7=7= 7 equals extremely pleasing) is given for each of four characteristics: taste, aroma, richness, and acidity. The following data stored in Coffee contain the ratings accumulated over all four characteristics:’ Expert A B 1 24 26 2 27 27 3 19 22 4 24 27 5 22 25 6 26 27 7 27 26 8 25 27 9 22 23 10 25 22 11 26 24 12 20 16 13 25 23 14 22 21 15 24 24 16 22 23 17 24 21 18 20 19 a. At the 0.05 level of significance, is there evidence of a difference in the mean ratings between the two brands? b. What is the hypothesis, t-test, critical value and decision? c. Determine the p-value in (a) and interpret its meaning. d. Construct and interpret a 95% confidence interval estimate of the difference in the mean ratings between the two brands.
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