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 40 male graduates will provide a sample mean within $1.00 of the population mean, $37.39? :1 (b) What is the probability that a sample of 40 female graduates will provide a sample mean within $1.00 of the population mean, $27.83? :1 (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 (b), because the standard error is higher 0 part (a), because the standard error is higher 0 part (b), because the standard error is lower 0 part (a), because the standard error is lower (d) Calculate the amount that is $0.60 less than the population mean of $27.83. What is the probability that a sample of 110 female graduates will provide a sample mean less than this amount? :]