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The heights of pecan trees are normally distributed with a mean of 10 feet and a...

The heights of pecan trees are normally distributed with a mean of 10 feet and a standard deviation of 2 feet. Show all work. Just the answer, without supporting work, will receive no credit. (a) What is the probability that a randomly selected pecan tree is between 9 and 12 feet tall? (Round the answer to 4 decimal places) (b) Find the 80th percentile of the pecan tree height distribution. (Round the answer to 2 decimal places) (a) For a sample of 36 pecan trees, state the standard deviation of the sample mean (the "standard error of the mean"). (Round your answer to three decimal places) (b) Suppose a sample of 36 pecan trees is taken. Find the probability that the sample mean heights is between 9.5 and 10 feet. (Round your answer to four decimal places)

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ei OA <12) ← F O. 5328 2

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