For the year 2010, 33% of taxpayers with adjusted gross incomes between $30,000 and$60,000 itemized deductions on their federal income tax return (the Wall Street Journal,October 25, 2012). The mean amount of deductions for this population of taxpayers was$16,642. Assume the standard deviation is s 5 $2400.a. What is the probability that a sample of taxpayers from this income group who haveitemized deductions will show a sample mean within $200 of the population mean foreach of the following sample sizes: 30, 50, 100, and 400?b. What is the advantage of a larger sample size when attempting to estimate the population mean?
For the year 2010, 33% of taxpayers with adjusted gross incomes between $30,000 and$60,000 itemized deductions on their federal income tax return (the Wall Street Journal,October 25, 2012). The mean amount of deductions for this population of taxpayers was$16,642. Assume the standard deviation is s 5 $2400.a. What is the probability that a sample of taxpayers from this income group who haveitemized deductions will show a sample mean within $200 of the population mean foreach of the following sample sizes: 30, 50, 100, and 400?b. What is the advantage of a larger sample size when attempting to estimate the population mean?
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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For the year 2010, 33% of taxpayers with adjusted gross incomes between $30,000 and
$60,000 itemized deductions on their federal income tax return (the Wall Street Journal,
October 25, 2012). The mean amount of deductions for this population of taxpayers was
$16,642. Assume the standard deviation is s 5 $2400.
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 400?
b. What is the advantage of a larger
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