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 47 years of rainfall for New York has been taken.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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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 30 years of rainfall for California and
a sample of 47 years of rainfall for New York has been taken.
(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.)
(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.)
Transcribed Image Text: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 47 years of rainfall for New York has been taken. (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.) (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.)
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