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Suppose that X~N(5000,400). You're considering taking a simple random sample and calculating the average of your...

Suppose that X~N(5000,400). You're considering taking a simple random sample and calculating the average of your sample. The Central Limit Theorem tells us that the distribution of all possible sample averages is Normally distributed with a mean of 5000.

If you took a sample of size n = 10000, what is the standard deviation of that sample?

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