A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 26 weeks. Assume that the length of unemployment is normally distributed with population mean of 26 weeks and the population standard deviation of 6 weeks. Suppose you would like to select a random sample of 18 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? - N( c. What is the probability that one randomly selected individual found a job more than 25 weeks?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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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 26 weeks. Assume that the length of unemployment is normally distributed with population
mean of 26 weeks and the population standard deviation of 6 weeks. Suppose you would like to select a
random sample of 18 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 æ? ¤ - N(
c. What is the probability that one randomly selected individual found a job more than 25 weeks?
d. For 18 unemployed individuals, find the probability that the average time that they found the next job
is more than 25 weeks.
e. For part d), is the assumption of normal necessary? O Yes No
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Transcribed Image Text:A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 26 weeks. Assume that the length of unemployment is normally distributed with population mean of 26 weeks and the population standard deviation of 6 weeks. Suppose you would like to select a random sample of 18 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 æ? ¤ - N( c. What is the probability that one randomly selected individual found a job more than 25 weeks? d. For 18 unemployed individuals, find the probability that the average time that they found the next job is more than 25 weeks. e. For part d), is the assumption of normal necessary? O Yes No Submit Question logi 3 F5 F6 87 5
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