Check MyAccording to the Current Results website, the state of California has a mean annual rainfall of 21 inches, whereas the state of New York has a mean annual rainfall of 47 inches. Assume that the standard deviation for both states is 3 inchesof rainfall for California and a sample of 45 years of rainfall for New York has been taken. Use z-table.a. Show the probability distribution of the sample mean annual rainfall for California.This is a normal probability distribution with E(E)and os(to 4 decimals).b. What is the probability that the sample mean is within 1 inch of the population mean for California?(to 4 decimals)c. What is the probability that the sample mean is within1 inch of the population mean for New York?(to 4 decimals)d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within I inch of the population mean greater? Why?because the sample size is-Seléct your answer - YSelect your answer-|The probability of being within 1 inch is greater

Since you have posted a question with multiple sub parts therefore, we will be solving the first…

ccording to the Current Results website, the state of California has a mean annual rainfall of 21 inches, whereas the state of New Vork has a mean annual rainfall of 47 inches. Assume that the standard deviation for both states rainfall for California and a sample of 45 years of rainfall for New York has been taken. Use z-table. Show the probability distribution of the sample mean annual rainfall for California. nis is a normal probability distribution with E(2) = and oy = (to 4 decimals). - What is the probability that the sample mean is within 1 inch of the population mean for California? (to 4 decimals) - What is the probability that the sample mean is within 1 inch of the population mean for New York? (to 4 decimals) .In which case, part (b) or part (c), is the probability of obtaining a sample mean within 1 inch of the population mean greater? Why? v because the sample size is - Select your answer - V he probability of being within 1 inch is greater- Select your answer -

ccording to the Current Results website, the state of California has a mean annual rainfall of 21 inches, whereas the state of New Vork has a mean annual rainfall of 47 inches. Assume that the standard deviation for both states rainfall for California and a sample of 45 years of rainfall for New York has been taken. Use z-table. Show the probability distribution of the sample mean annual rainfall for California. nis is a normal probability distribution with E(2) = and oy = (to 4 decimals). - What is the probability that the sample mean is within 1 inch of the population mean for California? (to 4 decimals) - What is the probability that the sample mean is within 1 inch of the population mean for New York? (to 4 decimals) .In which case, part (b) or part (c), is the probability of obtaining a sample mean within 1 inch of the population mean greater? Why? v because the sample size is - Select your answer - V he probability of being within 1 inch is greater- Select your answer -

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter5: Probability: An Introduction To Modeling Uncertainty

Section: Chapter Questions

Problem 14P: Suppose the following data represent the number of persons unemployed for a given number of months...

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