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 70 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 70 female graduates will provide a sample mean within $1.00 of the population mean, $27.83?

(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?

(d) What is the probability that a sample of 140 female graduates will provide a sample mean more than $0.60 below the population mean, $27.83?

Answer 1

Salubion: Im39.39 4.60 21.83 YA 4.1 - 1 4-60 70 4.60 O.9312 b) 4.) 2-04 72 D.0 4) O.9586 Pord iby has the higher paobabiliy, because tamdard erv o af maon Salary is lowes im Hemale dhon males x- -0.60) z C-113) O.0418