The us Bureau of labor statistics reported the mean hourly w

The u.s. Bureau of labor statistics reported the mean hourly wage rate for individuals in executive, administrative, and managerial occupations is $26. Assume the population mean is $26 and the population standard deviation is $4. A sample of 115 individuals in executive, administrative, and managerial occupation will be selected. What is the probability that the sample mean will be greater than $27?

Solution

m =26

s = 4

n =115

P(x>27) = P(z>(27-26)/4)

P(x>27) = P(z>0.25)

P(x>27) = 1- P(z<0.25)

P(x>27) = 1 - 0.5987

P(x>27) = 0.4013