H Iearn-ap-southeast-Z-prod-eeto'l -xythos.content.blackboa rdcdncom Eb httpsz/lieam-ap-suuthea5t-2-prod-f|eet01-xyihos.content.blackbuardcdn.com... Question 3 Sampling Distribution (10 marks) The Economics Policy Institute periodically issues reports on the wages of entry-level workers. The Institute reported that entry-level wages for male college graduates were $48.86 per hour, and for female college graduates were $41.60 per hour. Assume the standard deviation for male graduates is $2.80 and for female graduates is $2.30 a. What is the probability that a sample of 50 male graduates will provide a sample mean within $0.50 of the population mean, $48.86? (3 marks) b. What is the probability that a sample of 50 female graduates will provide a sample mean Within $0.50 of the population mean, $41.60? (3 marks) 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 $0.50 of the population mean? Why? (2 marks) d. What is the probability that a sample of 120 female graduates will provide a sample mean more than $0.30 below the population mean? (2 marks)