A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 25 weeks. Assume that for the population of all unemployed individuals the length of unemployment is normally distributed where the population mean length of unemployment is 25 weeks and that the population standard deviation is 2 weeks. Suppose you would like to select a random sample of 38 unemployed individuals for a follow-up study. Find the probability that a sample of size n =38 is randomly selected with a mean less than 26. P(M < 26)

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A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 25 weeks. Assume that for the population of all unemployed individuals the length of unemployment is normally distributed where the population mean length of unemployment is 25 weeks and that the population standard deviation is 2 weeks. Suppose you would like to select a random sample of 38 unemployed individuals for a follow-up study. Find the probability that a sample of size n =38 is randomly selected with a mean less than 26.
P(M < 26) 

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