In: Math
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 for female college graduates were $18.80 per hour in 2011.† Assume the standard deviation for male graduates is $2.30, and for female graduates it is $2.05. (Round your answers to four decimal places.)
1. What is the probability that a sample of 60 male graduates will provide a sample mean within $0.50 of the population mean, $21.68?
2. What is the probability that a sample of 60 female graduates will provide a sample mean within $0.50 of the population mean, $18.80?
3. In which of the preceding two cases, part (a) or part (b), do we have a higher probability of obtaining a sample estimate within $0.50 of the population mean? Why?
4. What is the probability that a sample of 130 female graduates will provide a sample mean less than the population mean by more than $0.30?