The CPA Practice Advisor reports that the mean preparation fee for 2017 federal income tax returns was $273. Use this peice as the population mean and assume the population standard deviation of preparation fees is $100. Use z-table. Round your answers to four decimal places. a. What is the probability that the mean price for a sample of 30 federal income tax returns is within $16 of the population mean? b. What is the probability that the mean price for a sample of 50 federal income tax retucns is within $16 of the population mean? C. What is the probability that the mean price for a sample of 100 federal income tax returns is within $16 of the populetion mean? A. Which, if any, of the sample sizes in parts (a), (b), and (c) would you recommend to have at least a 0.96 probability that the sample mean is within. $16 of the population mean