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Statistics: Testing the Diameters of Grapefruits in an Orchard

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Question: The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.82 inches and a standard deviation of 0.61 inches. Show all work.
(A) What percentage of the grapefruits in this orchard is larger than 5.78 inches?
(B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample is greater than 5.78 inches?

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This solution provides the calculations and answers for the percentage of grapefruits in an orchard that are larger than 5.78 inches as well as the probability that the mean diameter of a random sample of 100 grapefruits is greater than 5.78 inches. In order to view the full solution, will all calculations and formulas, a Word document file must be opened.