Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is17.5 weeks and that the population standard deviation is 6 weeks. Suppose you would like to select a sample of 45 unemployed individuals for a follow-up study.(a) Show the sampling distribution of X, the sample mean average for a sample of 45 unemployed individuals.^^Jweeksweeks14.8 15.7 16.6 17.5 18.4 19.3 20.2weeks-2.7 -1.8 -0.90.9 1.8 2.7-0.5 5.5 11.5 17.5 23.5 29.5 35.5Aweeks42.3 43.2 44.1 45 45.9 46.8 47.7(b) What is the probability that a simple random sample of 45 unemployed individuals will provide a sample mean within 1 week of the population mean? (Round your answer to four decimal places.)(c) What is the probability that a simple random sample of 45 unemployed individuals will provide a sample mean within 113week of the population mean? (Round your answer to four decimal places.)2

Formula : z = (x̄ - μₓ̄ )/σₓ̄

Answered: Barron's reported that the average…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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