What is the probability that a sample of 50 male graduates will provide a sample mean within $.50 of the population mean, $21.68? b. what is the probability that a sample of 50 female graduates will provide a sample mean within $.50 of the population mean, $18.80? 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 $.50 of the population mean? why? d. what is the probability that a sample of 120 female graduates will provide a sample mean more than $.30 below the population mean?