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What is the probability that a simple random sample

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Barron's reported that the average number of weeks an individual is unemployed is 17 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 17 weeks and that the population standard deviation is weeks. Suppose you would like to select a sample of 55 unemployed individuals for a follow-up study.

a. Show the sampling distribution of, the sample mean average for a sample of 55 unemployed individuals.

b. What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within 1 week of the population mean?

c. What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within 1/2 week of the population mean?

Reference no: EM132483827

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