Question

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 35 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 35 weeks and that the population standard deviation is 2 weeks. Suppose you would like to select a random sample of 39 unemployed individuals for a follow-up study.

Find the probability that a single randomly selected value is less than 34.
P(X < 34) =

Find the probability that a sample of size n =39 is randomly selected with a mean less than 34.
P(¯xx¯ < 34) =

Enter your answers as numbers accurate to 4 decimal places.

Answer 1

Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(-0.50, TRUE)" to find the probability.

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Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(-3.12, TRUE)" to find the probability.