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A population has mean 72 and standard deviation 6. Find the mean and standard deviation of...

A population has mean 72 and standard deviation 6.

Find the mean and standard deviation of X for samples of size 45.

Find the probability that the mean of a sample of size 45 will differ from the population mean 72 by at least 2 units, that is, is either less than 70 or more than 74. (Hint: One way to solve the problem is to first find the probability of the complementary event.)

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