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2. The Economic Policy 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. Assume the standard deviation for male graduates is $2.30, and for female graduates it is $2.05. (a). What is the probability that a sample of 50 male graduates will provide a sample mean within $.50 of the population mean, $21.687 (3 points) (b). What is the probability that a sample of 100 female graduates will provide a sample mean more than $.20 below the population mean? (3 points)