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? 0.6212 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? 0.7416 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? 0.8804 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? None of the sample sizes in parts (a), (b), and (c) are large enough.

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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?
0.6212
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?
0.7416
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?
0.8804
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?
None of the sample sizes in parts (a), (b), and (c) are large enough.
Transcribed Image Text: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? 0.6212 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? 0.7416 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? 0.8804 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? None of the sample sizes in parts (a), (b), and (c) are large enough.
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