In: Statistics and Probability
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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 mean of the distribution of sample means, , with sample size 60? |
Solution :
Given that ,
mean =
= 250
standard deviation =
= 50
n = 60
sample distribution of sample mean is ,

=
answer =
= 250
note :
sampling distribution of standard deviation

=
/
n = 50/
30=6.45

= 6.45