In: Statistics and Probability
A leading magazine (like Barron's) reported at one time that the
average number of weeks an individual is unemployed is 33 weeks.
Assume that for the population of all unemployed individuals the
population mean length of unemployment is 33 weeks and that the
population standard deviation is 3 weeks. Suppose you would like to
select a random sample of 35 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 = 35 is randomly selected with a mean less than 34. P( ¯
x < 34) =
Enter your answers as numbers accurate to 4 decimal places.