You may need to use the appropriate appendix table or technology to answer this question. The state of California has 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 35 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. (a) Describe the probability distribution of the sample mean annual rainfall for California by specifying its distribution form and parameters. (Round your answers to four decimal places as needed.) This is a normal distribution with E(x) = 22 ✓and a-= 0.6761 ✓. (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.)
You may need to use the appropriate appendix table or technology to answer this question. The state of California has 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 35 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. (a) Describe the probability distribution of the sample mean annual rainfall for California by specifying its distribution form and parameters. (Round your answers to four decimal places as needed.) This is a normal distribution with E(x) = 22 ✓and a-= 0.6761 ✓. (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.)
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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