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

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