Question: In problem 5-41, what is the probability that the sample mean will be at least 1,000? Do you need to use the central limit theorem

In problem 5-41, what is the probability that the sample mean will be at least 1,000? Do you need to use the central limit theorem to answer this question? Explain.

In problem 5-41

Suppose you are sampling from a population with mean µ = 1,065 and standard deviation σ = 500. The sample size is n = 100. What are the expected value and the variance of the sample mean µ?

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