Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 240 feet and a standard deviation of 56 feet. We randomly sample 49 fly balls. A. If X = average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. B. What is the probability that the 49 balls traveled an average of less than 232 feet? (Round your answer to four decimal places.) C.Find the 80th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.) ft
Added by Debbie L.
Step 1
Given that the standard deviation of the original distribution is 56 feet and we are sampling 49 fly balls, the standard deviation of the distribution of X is calculated as 56 / sqrt(49) = 8 feet. Show more…
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