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to use the appropriate appendix table or technology to answer this question. The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The me amount of deductions for this population of taxpayers was $16,642. Assume the standard deviation is a $2,400. (a) What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean for ea the following sample sizes: 20, 50, 100, and 500? (Round your answers to four decimal places.) sample size n = 20 sample size n = 50 sample size n = 100 sample size n = 500 (b) What is the advantage of a larger sample size when attempting to estimate the population mean? OA larger sample lowers the population standard deviation. OA larger sample has a standard error that is closer to the population standard deviation. O A larger sample increases the probability that the sample mean will be within a specified distance of the population mean. OA larger sample increases the probability that the sample mean will be a specified distance away from the population mean 4

to use the appropriate appendix table or technology to answer this question. The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The me amount of deductions for this population of taxpayers was $16,642. Assume the standard deviation is a $2,400. (a) What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean for ea the following sample sizes: 20, 50, 100, and 500? (Round your answers to four decimal places.) sample size n = 20 sample size n = 50 sample size n = 100 sample size n = 500 (b) What is the advantage of a larger sample size when attempting to estimate the population mean? OA larger sample lowers the population standard deviation. OA larger sample has a standard error that is closer to the population standard deviation. O A larger sample increases the probability that the sample mean will be within a specified distance of the population mean. OA larger sample increases the probability that the sample mean will be a specified distance away from the population mean 4

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You may need to use the appropriate appendix table or technology to answer this question. The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,642. Assume the standard deviation is a = $2,400. (a) What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean for each of the following sample sizes: 20, 50, 100, and 500? (Round your answers to four decimal places.) sample size n = 20 sample size n = 50 sample size n = 100 sample size n = 500 (b) What is the advantage of a larger sample size when attempting to estimate the population mean? OA larger sample lowers the population standard deviation. O A larger sample has a standard error that is closer to the population standard deviation. OA larger sample increases the probability that the sample mean will be within a specified distance of the population mean. OA larger sample increases the probability that the sample mean will be a specified distance away from the population mean. h
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,642. Assume the standard deviation is a = $2,400. (a) What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean for each of the following sample sizes: 20, 50, 100, and 500? (Round your answers to four decimal places.) sample size n = 20 sample size n = 50 sample size n = 100 sample size n = 500 (b) What is the advantage of a larger sample size when attempting to estimate the population mean? OA larger sample lowers the population standard deviation. O A larger sample has a standard error that is closer to the population standard deviation. OA larger sample increases the probability that the sample mean will be within a specified distance of the population mean. OA larger sample increases the probability that the sample mean will be a specified distance away from the population mean. h
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