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

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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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