In: Statistics and Probability
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