The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfal

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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 Rainfal 1 (19.57 KiB) Viewed 6 times

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 34 years of rainfall for California and a sample of 49 years of rainfall for New York has been taken. (a) Show the probability distribution of the sample mean annual rainfall for California. O 39.9 40.6 41.3 42 42.7 434 44.1 -21-14-0.7 0 0.7 14 21 Inches 20 inches @✔ 10 14 18 22 26 30 34 19.9 20.6 213 22 22.7 234 24.1 inches inches (b) What is the probability that the sample mean is within 1 inch of the population mean for California? (Round your answer to four decimal places) GOED x (c) What is the probability that the sample mean is within 1 inch of the population mean for New York? (Round your answer to four decimal places.)