2. Income Tax Return Preparation Fees. The CPA Practice Advisor reports that the mean preparation fee for 2017 federal income tax returns was $273. Use this price as the population mean and assume the...

Plz answer all the parts in 30 mints plz

Extracted text: 2. Income Tax Return Preparation Fees. The CPA Practice Advisor reports that the mean preparation fee for 2017 federal income tax returns was $273. Use this price as the population mean and assume the population standard deviation of preparation fees is $100. a. What is the probability that the mean price for a sample of 30 federal income tax retums is within $16 of the population mean? b. What is the probability that the mean price for a sample of 50 federal income tax retums is within $16 of the population mean? c. What is the probability that the mean price for a sample of 100 federal income tax retums is within $16 of the population mean? d. Which, if any, of the sample sizes in parts (a). (b), and (e) would you recommend to ensure at least a .95 probability that the sample mean is within $16 of the population mean?