You may need to use the appropriate appendix table or technology to answer this question. The Economic Policy Institute periodically issues reports on workers' wages. Suppose the institute reported that mean wages for male college graduates were $37.39 per hour and for female college graduates were $27.83 per hour in 2017, Assume the standard deviation for male graduates is $4.60 and for female graduates it is $4.10. (Round your answers to four decimal places.) (a) What is the probability that a sample of 60 male graduates will provide a sample mean within $1.00 of the population mean, $37.39? (b) What is the probability that a sample of 60 female graduates will provide a sample mean within $1:00 of the population mean, $27.837 (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 $1.00 of the population mean? Why? O part (a), because the standard arror is lower O part (a), because the standard error is higher O part (b), because the standard error is lower O part (b), because the standard error is higher (d) Calculate the amount that is $0.60 less than the population mean of $27.83. What is the probability that a sample of 130 female graduates will provide a sample mean less than this amount? 0:0478 Need Help