Suppose that the distance, X, 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 60 fly balls. What is the standard deviation of the distribution of sample means, , with sample size 60? |
Solution :
Given that ,
mean = = 250
standard deviation = = 50
n = 60
mean of the distribution of sample means= = 250
standard deviation of the distribution of sample mean = = / n =50 / 60=6.4550
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