The Central Limit Theorem for Sample Means · Exercise 2
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.
(a) If = average distance in feet for 49 fly balls, then ~ _______(_______,_______)
(b) What is the probability that the 49 balls traveled an average of less than 240 feet? Sketch the graph. Scale the horizontal axis for . Shade the region corresponding to the probability. Find the probability.
(c) Find the 80^th percentile of the distribution of the average of 49 fly balls.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Introductory Business Statistics 2e · §7.1 The Central Limit Theorem for Sample Means · Exercise 2
No hints for this one.
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