Barron's reported that the average number of weeks an individual is unemployed is 17.5 (Barron's, February 18, 2008). Assume that the size of the population mean is 17.5 weeks for the population of all unemployed individuals, and that the population standard deviation is four weeks. Assume that you want to select a random sample of 50 unemployed individuals for a follow-up study. a) Present the sampling distribution of x, the mean sample mean of a sample of 50 unemployed individuals. b) What is the probability that the simple random sample of the 50 subjects will provide a sample mean that does not differ from the population mean in more than one week? c) What is the probability that the referred simple random sample provides a sample mean that does not differ from the population mean in more than  week