# Answer to Question #13269 in Statistics and Probability for Tony

Question #13269

1) The yields of peach trees in an orchard have Normal distribution with mean 42.4 pounds and standard deviation 6.1 pounds.

a) Compute the Z-score for a tree yielding 35 pounds of peaches. Interpret this Z-score.

b) Suppose a tree has a Z-score of 1.85. Interpret this Z-score. What is the yield of this tree?

2) Consider all the trees in the peach orchard. The yield of these trees has mean 42.4 pounds with standard deviation 6.1 pounds. Suppose each tree’s yield is converted to a Z-score. For the data set of all Z-scores: What is the shape? The mean? The standard deviation?

3) Joe's reading habit varies from day to day with mean 280 pages and standard deviation 260 pages.

a) Compute the Z-score for a day in which Joe reads 500 pages. Interpret this Z-score.

b) Suppose a day has a Z-score of -0.85. Interpret this Z-score. How many pages did Joe read on this day?

c) Could a day have a Z-score of -1.5? How many pages would Joe read on such a day? Use your answer to argue that the distribution of pages rea

a) Compute the Z-score for a tree yielding 35 pounds of peaches. Interpret this Z-score.

b) Suppose a tree has a Z-score of 1.85. Interpret this Z-score. What is the yield of this tree?

2) Consider all the trees in the peach orchard. The yield of these trees has mean 42.4 pounds with standard deviation 6.1 pounds. Suppose each tree’s yield is converted to a Z-score. For the data set of all Z-scores: What is the shape? The mean? The standard deviation?

3) Joe's reading habit varies from day to day with mean 280 pages and standard deviation 260 pages.

a) Compute the Z-score for a day in which Joe reads 500 pages. Interpret this Z-score.

b) Suppose a day has a Z-score of -0.85. Interpret this Z-score. How many pages did Joe read on this day?

c) Could a day have a Z-score of -1.5? How many pages would Joe read on such a day? Use your answer to argue that the distribution of pages rea

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