10.20 Nine experts rated two brands of Colombian 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, rich-ness, and acidity.
The following data stored in Coffee contain the ratings accumulated over all four characteristics:
a. At the 0.05 level of significance, is there evidence of a difference in the mean ratings between the two brands?
b. What assumption is necessary about the population distribution in order to perform this test?
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.