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

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

(to decimal)
(to decimals)