Question

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 30.3 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 30.3 weeks and that the population standard deviation is 4.6 weeks. Suppose you would like to select a random sample of 241 unemployed individuals for a follow-up study.

Find the probability that a single randomly selected value is between 29.5 and 30.2.
P(29.5 < X < 30.2) =

Find the probability that a sample of size n=241n=241 is randomly selected with a mean between 29.5 and 30.2.
P(29.5 < ¯xx¯ < 30.2) =

Enter your answers as numbers accurate to 4 decimal places. Answers should be obtained using zz scores rounded to two decimal places.

Answer 1