For the year 2010, 33% of taxpayers with adjusted gross incomes between $30,000 and $6 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,642. Assume that the standard deviation is a $2,560. If required, round your answer to two decimal places. (a) What are the sampling errors of x for itemized deductions for this population of taxpayers for each of the following sample sizes: 30, 50, 100, and 400? E(X) = $ n 30 50 100 400 * * (b) What is the advantage of a larger sample size when attempting to estimate the population mean? A larger sample reduces the standard error and results in a(n) more precise estimate of the population mean.
For the year 2010, 33% of taxpayers with adjusted gross incomes between $30,000 and $6 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,642. Assume that the standard deviation is a $2,560. If required, round your answer to two decimal places. (a) What are the sampling errors of x for itemized deductions for this population of taxpayers for each of the following sample sizes: 30, 50, 100, and 400? E(X) = $ n 30 50 100 400 * * (b) What is the advantage of a larger sample size when attempting to estimate the population mean? A larger sample reduces the standard error and results in a(n) more precise estimate of the population mean.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text: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 mean amount of deductions for this
population of taxpayers was $16,642. Assume that the standard deviation is a = $2,560. If required,
round your answer to two decimal places.
(a) What are the sampling errors of x for itemized deductions for this population of taxpayers for each
of the following sample sizes: 30, 50, 100, and 400?
€
E(X) = $
n
30
50
100
400
***
$
(b) What is the advantage of a larger sample size when attempting to estimate the population mean?
A larger sample reduces
the standard error and results in a(n)
more
precise estimate of the population mean.
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