What is the relationship between the standard deviation of the sample mean and the population standard deviation?

Question

Quizplus · Accepted Answer

The standard deviation of the sample mean (also known as standard error) is equal to the population standard deviation divided by the square root of the sample size. Therefore, as the sample size increases, the standard deviation of the sample mean decreases. However, there is no direct relationship between the population standard deviation and the standard deviation of the sample mean.

What Is the Relationship Between the Standard Deviation of the Sample