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In: Statistics and Probability

Suppose we know that a random variable X has a population mean µ = 400 with...

Suppose we know that a random variable X has a population mean µ = 400 with a standard deviation σ = 100. What are the following probabilities? (12 points)

The probability that the sample mean is above 376 when n = 1600.

The probability that the sample mean is above 376 when n = 400.

The probability that the sample mean is above 376 when n = 100.

The probability that the sample mean is above 376 when n = 64.

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