Suppose 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 20 federal income tax returns is within $16 of the population mean? (Round your answer to four decimal places.) (b) What is the probability that the mean price for a sample of 70 federal income tax returns is within $16 of the population mean? (Round your answer to four decimal places.) (c) What is the probability that the mean price for a sample of 121 federal income tax returns is within $16 of the population mean?(Round your answer to four decimal places.) (d) Which, if any, of the sample sizes in parts (a), (b), and (c) would you recommend to ensure at least a 0.95 probability that the sample mean is within $16 of the population mean? (Select all that apply.) 20 customers 70 customers O 121 customers none of the above

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Suppose 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 20 federal income tax returns is within $16 of the population mean? (Round your answer to four decimal places.)

[Input Field]

(b) What is the probability that the mean price for a sample of 70 federal income tax returns is within $16 of the population mean? (Round your answer to four decimal places.)

[Input Field]

(c) What is the probability that the mean price for a sample of 121 federal income tax returns is within $16 of the population mean? (Round your answer to four decimal places.)

[Input Field]

(d) Which, if any, of the sample sizes in parts (a), (b), and (c) would you recommend to ensure at least a 0.95 probability that the sample mean is within $16 of the population mean? (Select all that apply.)

- [ ] 20 customers
- [ ] 70 customers
- [ ] 121 customers
- [ ] none of the above
Transcribed Image Text:Suppose 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 20 federal income tax returns is within $16 of the population mean? (Round your answer to four decimal places.) [Input Field] (b) What is the probability that the mean price for a sample of 70 federal income tax returns is within $16 of the population mean? (Round your answer to four decimal places.) [Input Field] (c) What is the probability that the mean price for a sample of 121 federal income tax returns is within $16 of the population mean? (Round your answer to four decimal places.) [Input Field] (d) Which, if any, of the sample sizes in parts (a), (b), and (c) would you recommend to ensure at least a 0.95 probability that the sample mean is within $16 of the population mean? (Select all that apply.) - [ ] 20 customers - [ ] 70 customers - [ ] 121 customers - [ ] none of the above
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