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 forfemale college graduates were $18.88 per hour in 2811 (Economic Policy Institute website, March 38, 2812). Assume the standard deviation for male graduates is $2.38, and for female graduates it is $2.85. Round your answers to four decimal places. a. What is the probability that a sample of 58 male graduates will provide a sample mean within $.58 of the population mean, $21.68? b. What is the probability that a sample of 58 female graduates will provide a sample mean within $.58 of the population mean, $18.88? c. In which of the preceding two cases, part (a) or part (b), do we have a higher probability of obtaining a sample estimate within $.58 of the population mean? - Select your answer - v Do we have a higher probability of obtaining a sample estimate within $.58 of the population mean? - Select your answer - V Why? Because the standard error for female graduates is -Selectyouranswer- V the standard errorfor male graduates d. What is the probability that a sample of 128 female graduates will provide a sample mean more than $.38 below the population mean