Question

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 is 17.5 weeks and that the population standard deviation is 5 weeks. Suppose you would like to select a sample of 50 unemployed individuals for a follow-up study. 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? (Round your answer to four decimal places.) 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? (Round your answer to four decimal places.)

Answer #1

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
is 17.5 weeks and that the population standard deviation is 4
weeks. Suppose you would like to select a sample of 40 unemployed
individuals for a follow-up study.
1. What is the probability that a simple random sample of 40
unemployed individuals will provide a sample mean within 1 week...

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weeks. Suppose you would like to select a sample of 65 unemployed
individuals for a follow-up study. Use z-table.
What is the probability that a simple random sample of 65
unemployed individuals will provide a sample mean within 1...

)Baron’s reported that average number of weeks an individual is
unemployed is 17.5 weeks (Baron’s, February 18, 2008).Suppose you
will select a random sample of 50 unemployed individuals for a
follow up study. Assume that for the population of all unemployed
individuals the population mean length of unemployment is 17.5
weeks and the population standard deviation is 4 weeks. Let X=
sample mean of the 50 randomly selected unemployed individuals.
(a)Suppose you want to find the probability that a single...

You may need to use the appropriate appendix table or technology
to answer this question.
Barron's reported that the average number of weeks an
individual is unemployed is 18.5 weeks. Assume that for the
population of all unemployed individuals the population mean length
of unemployment is 18.5 weeks and that the population standard
deviation is 4 weeks. Suppose you would like to select a sample of
60 unemployed individuals for a follow-up study.
(a) Show the sampling distribution of x,...

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population standard deviation is 4.5 weeks. Suppose you would like
to select a random sample of 87 unemployed individuals for a
follow-up study. Round z-scores to two decimal places.
Find the probability that a single randomly selected...

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