Suppose you take 1,000 random samples of size n = 500 from a population with mean = 250. One of the random samples has a standard deviation of s = 13.7. You create a sampling distribution from the 1,000 sample means, and the standard error is SE = 3.1. What is the difference in meaning between s = 13.7 and SE= 3.1?

Given information:

There are 1000 random samples of size n=500 selected from a population with mean $\mu =250$.

One of the random samples has a standard deviation of s=13.7.

For the sampling distribution of 1000 sample means, the standard error is SE=3.1