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 pop- ulation standard deviation is 4 weeks. Suppose you would like to select a random sample of 50 unemployed individuals for a follow-up study. Show the sampling distribution of x, the sample mean average for a sample of 50 un- employed individuals. b. What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean? What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1/2 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 pop- ulation standard deviation is 4 weeks. Suppose you would like to select a random sample of 50 unemployed individuals for a follow-up study. Show the sampling distribution of x, the sample mean average for a sample of 50 un- employed individuals. b. What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean? What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1/2 week of the population mean?
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Hi please answer a, b & c. Thank you!
![Problem 1
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 pop-
ulation standard deviation is 4 weeks. Suppose you would like to select a random sample
of 50 unemployed individuals for a follow-up study.
a. Show the sampling distribution of ĩ, the sample mean average for a sample of 50 un-
employed individuals.
b. What is the probability that a simple random sample of 50 unemployed individuals
will provide a sample mean within 1 week of the population mean?
What is the probability that a simple random sample of 50 unemployed individuals
will provide a sample mean within 1/2 week of the population mean?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fefd4f8-04c1-428d-8b0b-27568d8279db%2F893423f4-755a-467e-b8de-489f6de76290%2Fll6938j_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 1
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 pop-
ulation standard deviation is 4 weeks. Suppose you would like to select a random sample
of 50 unemployed individuals for a follow-up study.
a. Show the sampling distribution of ĩ, the sample mean average for a sample of 50 un-
employed individuals.
b. What is the probability that a simple random sample of 50 unemployed individuals
will provide a sample mean within 1 week of the population mean?
What is the probability that a simple random sample of 50 unemployed individuals
will provide a sample mean within 1/2 week of the population mean?
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