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. 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 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 parts (a), (b), and (c) would you recommend to have at least a 0.95 probability that the sample mean is within $16 of the population mean? - Select your answer - v A random sample of size 100 is selected from a population with p = 0.40. a. What is the expected value of p (to 2 decimals)? b. What is the standard error of P (to 4 decimals)? c. Show the sampling distribution of p. o5 = (to 4 decimals) E(p) = (to 2 decimals) d. What does the sampling distribution of p show? - Select your answer - v