In: Math
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 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 returns 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 population mean?
D) Which, if any of the sample sizes in part (a), (b), and (c) would you recommend to ensure at least a .95 probability that the same mean is withing $16 of the population mean?