A population has a mean muequals85 and a standard deviation sigma equals 24. find the mean and standard deviation of a sampling distribution of sample means with sample size nequals64.

The mean and standard deviation of the sample will be given by:

standard deviation=σ/√n

σ=24

n=64

thus

standard deviation of the sample will be:

24/√64

=24/8

=3

mean

the mean will be:

μ+/-3

μ=85

thus the mean will be:

85+/-3

=82 or 88