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A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 25 weeks. Assume that the length of unemployment is normally distributed with population mean of 25 weeks and the population standard deviation of 9 weeks. Suppose you would like to select a random sample of 35 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. a. What is the distribution of X? X ~ N( b. What is the distribution of a? a ~ N( c. What is the probability that one randomly selected individual found a job less than 27 weeks? d. For 35 unemployed individuals, find the probability that the average time that they found the next job is less than 27 weeks. e. For part d), is the assumption of normal necessary? ONo O Yes

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 25 weeks. Assume that the length of unemployment is normally distributed with population mean of 25 weeks and the population standard deviation of 9 weeks. Suppose you would like to select a random sample of 35 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. a. What is the distribution of X? X ~ N( b. What is the distribution of a? a ~ N( c. What is the probability that one randomly selected individual found a job less than 27 weeks? d. For 35 unemployed individuals, find the probability that the average time that they found the next job is less than 27 weeks. e. For part d), is the assumption of normal necessary? ONo O Yes

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 25 weeks. Assume that the length of unemployment is normally distributed with population mean of 25 weeks and the population standard deviation of 9 weeks. Suppose you would like to select a random sample of 35 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. a. What is the distribution of X? X ~ N( b. What is the distribution of a? a ~ N( c. What is the probability that one randomly selected individual found a job less than 27 weeks? d. For 35 unemployed individuals, find the probability that the average time that they found the next job is less than 27 weeks. e. For part d), is the assumption of normal necessary? ONo O Yes
Transcribed Image Text:A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 25 weeks. Assume that the length of unemployment is normally distributed with population mean of 25 weeks and the population standard deviation of 9 weeks. Suppose you would like to select a random sample of 35 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. a. What is the distribution of X? X ~ N( b. What is the distribution of a? a ~ N( c. What is the probability that one randomly selected individual found a job less than 27 weeks? d. For 35 unemployed individuals, find the probability that the average time that they found the next job is less than 27 weeks. e. For part d), is the assumption of normal necessary? ONo O Yes
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