uctions for this population of taxpayers was $16,642. Assume the standard deviation is = $2,400. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean sample sizes: 30, 50, 100, and 500? (Round your answers to four decimal places.) sample size n = 30 sample size n = 50 sample size n = 100 sample size n = 500 What is the advantage of a larger sample size when attempting to estimate the population mean? O A larger sample increases the probability that the sample mean will be within a specified distance of the population mean. A larger sample has a standard error that is closer to the population standard deviation. A larger sample increases the probability that the sample mean will be a specified distance away from the population mean. A larger sample lowers the population standard deviation.
uctions for this population of taxpayers was $16,642. Assume the standard deviation is = $2,400. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean sample sizes: 30, 50, 100, and 500? (Round your answers to four decimal places.) sample size n = 30 sample size n = 50 sample size n = 100 sample size n = 500 What is the advantage of a larger sample size when attempting to estimate the population mean? O A larger sample increases the probability that the sample mean will be within a specified distance of the population mean. A larger sample has a standard error that is closer to the population standard deviation. A larger sample increases the probability that the sample mean will be a specified distance away from the population mean. A larger sample lowers the population standard deviation.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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: 30, 50, 100, and 500? (Round your answers to four decimal places.)
sample size n = 30
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?
A larger sample increases the probability that the sample mean will be within a specified distance of the population mean.
A larger sample has a standard error that is closer to the population standard deviation.
A larger sample increases the probability that the sample mean will be a specified distance away from the population mean.
A larger sample lowers the population standard deviation.
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