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. 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 sampl of 50 female grads will provide a sample mean within $.50 of the population mean, $18.80?

b.)What is the prob. that a sample of 120 female graduates will provdie a sample mean more than $.30 below the population mean?