SOLUTION: The Economic Policy Institute reports that the average entry-level wage for male college graduates is $22.76 per hour and for female college graduates is $19.10 per hour. The stand

Algebra.Com
Question 1070053: The Economic Policy Institute reports that the average entry-level wage for male college graduates is $22.76 per hour and for female college graduates is $19.10 per hour. The standard deviation for male graduates is $3.74 and for female graduates is $3.19. Assume wages are normally distributed.
Question 1: If 28 females graduates are chosen, find the probability the sample average entry-level wage is at least $20.25


Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The Economic Policy Institute reports that the average entry-level wage for male college graduates is $22.76 per hour and for female college graduates is $19.10 per hour.
The standard deviation for male graduates is $3.74 and for female graduates is $3.19. Assume wages are normally distributed.
Question 1: If 28 females graduates are chosen, find the probability the sample average entry-level wage is at least $20.25
----
Find the z-score for 20.25 for groups of 28 female college grads.
z(20.25) = (20.25-19.10)/(3.74/sqrt(28)) = 1.627
-----
P(x-bar > 20.25) = P(z > 1.627) = normalcdf(1.627,100) = 0.0519
------------
Cheers,
Stan H.

RELATED QUESTIONS

Members of the general adult population volunteer an average of 4.2 hours per week. A... (answered by stanbon)
Business Week conducted a survey of graduates from 30 top MBA programs (Business Week,... (answered by stanbon)
Many college graduates who are employed full- time have longer than 40-hour work weeks.... (answered by stanbon)
college graduates who are employed full-time have longer than -hour work weeks. Suppose... (answered by stanbon)
A random sample of 22 people employed by the Florida state authority established they... (answered by ewatrrr)
Q)Business Week conducted a survey of graduates from 30 top MBA programs. On the basis... (answered by stanbon)
Business Week conducted a survey of graduates from 30 top MBA programs (Business Week,... (answered by Ryan O'Hara)
Jack's overtime wage is $3 per hour more than his regular hourly wage. He worked for 5... (answered by checkley75)
chucks overtime wage is $3 per hour more than his regular hourly hourly wage. he worked... (answered by Charles1947)