An institute periodically issues reports on wages of entry-level workers. The institute reported that entry-level wages for female college graduates...

An institute periodically issues reports on wages of entry-level workers. The institute reported that entry-level wages for female college graduates were $19.61 per hour and for male college graduates were $24.51 per hour in 2013. Assume the standard deviation for male graduates is $1.30, and for female graduates it is $1.92. What is the probability that a sample of 70 female graduates will provide a sample mean within $.50 of the population mean?