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 40 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. (b) What is the probability that the sample mean is within 1 inch of the population mean for California? (c) What is the probability that the sample mean is within 1 inch of the population mean for New York?.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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. Assume that the standard deviation for both states is 4
inches. A sample of 40 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.
(b) What is the probability that the sample mean is within 1 inch of the population mean for
California?
(c) What is the probability that the sample mean is within 1 inch of the population mean for
New York?.
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