Wine quality and soil. The Journal of Wine Research (Vol.

Chapter 3, Problem 70E

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QUESTION:

Problem 70E

Wine quality and soil. The Journal of Wine Research (Vol. 21, 2010) published a study of the effects of soil and climate on the quality of wine produced in Spain. The soil at two vineyards— Llarga and Solar—was the focus of the analysis. Wine produced from grapes grown in each of the two vineyards was evaluated for each of three different years (growing seasons) by a wine-tasting panel. Based on the taste tests, the panel (as a group) selected the wine with the highest quality.

a. How many different wines were evaluated by the panel, where one wine was produced for each vineyard/growing season combination?

b. If the wines were all of equal quality, what is the probability that the panel selected a Llarga wine as the wine with the highest quality?

c. If the wines were all of equal quality, what is the probability that the panel selected a wine produced in year 3 as the wine with the highest quality?

d. The panel consisted of four different wine tasters who performed the evaluations independently of each other. If the wines were all of equal quality, what is the probability that all four tasters selected a Llarga wine as the wine with the highest quality?

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QUESTION:

Problem 70E

Wine quality and soil. The Journal of Wine Research (Vol. 21, 2010) published a study of the effects of soil and climate on the quality of wine produced in Spain. The soil at two vineyards— Llarga and Solar—was the focus of the analysis. Wine produced from grapes grown in each of the two vineyards was evaluated for each of three different years (growing seasons) by a wine-tasting panel. Based on the taste tests, the panel (as a group) selected the wine with the highest quality.

a. How many different wines were evaluated by the panel, where one wine was produced for each vineyard/growing season combination?

b. If the wines were all of equal quality, what is the probability that the panel selected a Llarga wine as the wine with the highest quality?

c. If the wines were all of equal quality, what is the probability that the panel selected a wine produced in year 3 as the wine with the highest quality?

d. The panel consisted of four different wine tasters who performed the evaluations independently of each other. If the wines were all of equal quality, what is the probability that all four tasters selected a Llarga wine as the wine with the highest quality?

ANSWER:

Solution:

Step 1 of 5:

    Given the soil at two vineyards- Llarga and Solar was the focus of the analysis. Wine produced from grapes grown in each of the two vineyards was evaluated for each of three different years by a wine tasting panel.

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