# Question: Barron s reported that the average number of weeks an individual

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 sample of 50 unemployed individuals for a follow-up study.

a. 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?

c. 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?

a. 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?

c. 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?

**View Solution:**## Answer to relevant Questions

The College Board reported the following mean scores for the three parts of the SAT (The World Almanac, 2009):Critical Reading ........ 502Mathematics .......... 515Writing ............ 494Assume that the population standard ...To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected.a. Would you use the finite population correction factor in calculating the standard error of the mean? ...The Grocery Manufacturers of America reported that 76% of consumers read the ingredients listed on a product’s label. Assume the population proportion is p = .76 and a sample of 400 consumers is selected from the ...A researcher reports survey results by stating that the standard error of the mean is 20. The population standard deviation is 500.a. How large was the sample used in this survey?b. What is the probability that the point ...Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are contained in the file named Houston. Based on past studies the population standard deviation is known with σ = ...Post your question