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Hint(s) Check My Work Barron's reported that the average number of weeks an individual is unemployed is 18 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 18 weeks and that the population standard deviation is 6 weeks. Suppose you would like to select a random sample of 40 unemployed individuals for a follow-up study. Use z-table. a. Show the sampling distribution of T, the sample mean average for a sample of 40 unemployed individuals. E(T) = (to 1 decimal) 0 (to 4 decimals)

b. What is the probability that a simple random sample of 40 unemployed individuals will provide a sample mean within 1 week of the population mean? (to 4 decimals) c. What is the probability that a simple random sample of 40 unemployed individuals will provide a sample mean within the population mean? 1 week of 2 (to 4 decimals) Hide Feedback Partially Correct