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The state of California has a mean annual rainfall of 22 inches, whereas the state of...

The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken.

What is the probability that the sample mean is within 1 inch of the population mean for California? (Round to four decimal places) Answer

What is the probability that the sample mean is within 1 inch of the population mean for New York? (Round to four decimal places)

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