Question

If all possible samples of size n are drawn from an infinite population with a mean of 20 and a standard deviation of 5, then the standard error of the sampling distribution of sample means is equal to 1.0 only for samples of size:_____

Answer 1

25

Explanation:

We know that the standard error of the sampling distribution of sample means is

Standard error=standard deviation/√n

√n=standard deviation/Standard error

n=(standard deviation/Standard error)²

We are given that standard deviation=5 and standard error=1. So,

n=(5/1)²

n=5²

n=25.

Thus, the required sample size is 25.