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 value of ? |
Solution :
Given that ,
mean = = 250
standard deviation = = 50
n = 60
sample distribution of sample mean is ,
=
= 250
sampling distribution of standard deviation
= / n = 50 / 60=6.45
= 6.45