The state of California has a mean annual rainfall of 22 inches, whereas the state ofNew York has a mean annual rainfall of 42 inches (Current Results website, October 27,2012). Assume that the standard deviation for both states is 4 inches. A sample of 30 yearsof rainfall for California and a sample of 45 years of rainfall for New York has been taken.a. Show the probability distribution of the sample mean annual rainfall for California

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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 (Current Results website, October 27,
2012). 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.
a. Show the probability distribution of the sample mean annual rainfall for California

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