a. What is the mean of the sampling distribution? 245 O b. What is the standard deviation of the sampling distribution? 7.0711 X c. What is the probability that the 48 balls traveled an average less than 246 feet? 0.5264 d. Find the 79 percentile of the distribution of the average of 48 fly balls. 253.7593 X X

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed
with a mean of 245 feet and a standard deviation of 49 feet. We randomly sample 48 fly
balls. Round to 4 decimal places where possible.
a. What is the mean of the sampling distribution? 245
Of
b. What is the standard deviation of the sampling distribution? 7.0711
c. What is the probability that the 48 balls traveled an average less than 246 feet? 0.5264
d. Find the 79 percentile of the distribution of the average of 48 fly balls. 253.7593
X
Transcribed Image Text:Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 245 feet and a standard deviation of 49 feet. We randomly sample 48 fly balls. Round to 4 decimal places where possible. a. What is the mean of the sampling distribution? 245 Of b. What is the standard deviation of the sampling distribution? 7.0711 c. What is the probability that the 48 balls traveled an average less than 246 feet? 0.5264 d. Find the 79 percentile of the distribution of the average of 48 fly balls. 253.7593 X
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