You may need to use the appropriate appendix table or technology to answer this question. For the year 2010, 33% of taxp

[answerhappygod]

You may need to use the appropriate appendix
table or technology to answer this question.
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 the standard deviation
is
𝜎 = $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, 150, and 300? (Round your
answers to four decimal places.)
sample size n = 20sample
size n = 50sample
size n = 150sample
size n = 300
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