Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks (Barron's}, February 18, 2008). Assume that for the population of all unemployed individuals, the population mean length of unemployment is 17.5 weeks and that the population standard deviation is 4 weeks. Suppose you would like to select a random sample of 50 unemployed individuals for a follow-up study. (a) What is the probability that a sample of 50 unemployed individuals will provide a sample mean more than 20 weeks? (b) What is the probability that a sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean?
Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks (Barron's}, February 18, 2008). Assume that for the population of all unemployed individuals, the population mean length of unemployment is 17.5 weeks and that the population standard deviation is 4 weeks. Suppose you would like to select a random sample of 50 unemployed individuals for a follow-up study. (a) What is the probability that a sample of 50 unemployed individuals will provide a sample mean more than 20 weeks? (b) What is the probability that a sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks
(Barron's}, February 18, 2008). Assume that for the population of all unemployed individuals, the population
mean length of unemployment is 17.5 weeks and that the population standard deviation is 4 weeks. Suppose
you would like to select a random sample of 50 unemployed individuals for a follow-up study.
(a) What is the probability that a sample of 50 unemployed individuals will provide a sample
mean more than 20 weeks?
(b) What is the probability that a sample of 50 unemployed individuals will provide a sample
mean within 1 week of the population mean?
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