The average balance for customer accounts in The Reserve Fund at the time it was frozen by the Securities Exchange Commission (SEC) was $22,500, with a standard deviation of $7,500. The SEC overseers want to illustrate a sample of 100 accounts to help assess the impact of the fund's freeze on the account holders. Precisely (that is, using specific numbers) what does the central limit theorem tell us about the sampling distribution of sample means for samples of this size from this population?