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 re The mean amount of deductions for this population of taxpayers was $16,642. Assume the standard deviation iso = $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 populatio for each of the following sample sizes: 30, 60, 100, and 400? (Round your answers to four decimal places.) sample size n = 30 sample sizen 60 sample sizen = 100 sample size n = 400

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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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 o = $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, 60, 100, and 400? (Round your answers to four decimal places.)
sample size n = 30
sample sizen= 60
sample sizen= 100
sample size n = 400
Transcribed Image Text: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 o = $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, 60, 100, and 400? (Round your answers to four decimal places.) sample size n = 30 sample sizen= 60 sample sizen= 100 sample size n = 400
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