Question

A population has a mean mu equals 87 and a standard deviation sigma equals 21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n equals 259.

Answer 1

Solution :

Given that ,

mean = = 87

standard deviation = = 21

n = 259

sample distribution of sample mean is ,

=

= 87

sampling distribution of standard deviation

=  / n = 21/ 259=1.3049

= 1.3049