The Economic Policy Institute periodically issues reports on wages of entry level workers. The Institute reported that entry level wages for male college graduates were $21.68 per hour and for female college graduates were $18.80 per hour in 2011 (Economic Policy Institute website, March 30, 2012). Assume the standard deviation for male graduates is $2.30, and for female graduates it is $2.05What is the probability that a sample of 50 male graduates will provide a sample mean within $.50 of the population mean, $21.68?What is the probability that a sample of 50 female graduates will provide a sample mean within $.50 of the population mean, $18.80?What is the probability that a sample of 120 female graduates will provide a sample mean more than $.30 below the population mean?