A group of experts has rated your winery€™s two best varietals. Ratings are on a scale from 1 to 20, with higher numbers being better. The results are shown in Table 10.7.6.
a. Is this a paired or unpaired situation? Why?
b. Find the average rating for each varietal and the average difference in ratings (Chardonnay minus Cabernet Sauvignon).
c. Find the appropriate standard error for the average difference.
d. Find the 95% two-sided confidence interval for the mean difference in rating.
e. Test to see if the average ratings are significantly different. If they are significantly different, which varietal is superior?
f. Write a paragraph interpreting the results of this test.

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TABLE 10.7.6 Wine-Tasting Scores Cabernet Sauvignon 16.6 19.9 17.2 19.0 19.7 Chardonnay 19.9 17.1 17.3 18.0 19.8 Sauvignon 18.8 18.9 19.5 16.2 18.6 Expert Chardonnay 17.8 18.6 19.5 18.3 19.8 Expert 10