Question

A population has a mean μ=73 and a standard deviation σ=24. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=64.

Answer 1

Answer

Population mean and mean of the sampling distribution of sample means will remain same

So, mean of a sampling distribution of samples mean with size n = 64, will be equal to the population mean given in the question.

So, mean of a sampling distribution of samples mean with size n = 64 is

μ = 73

And standard deviation of a sampling distribution of samples mean with size n = 64, is given as

where

setting the given values, we get

So, mean and standard deviation of a sampling distribution of sample means with sample size n = 64, are 73 and 3

Answer 2

The answer is 83