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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 that the standard deviation is σ = $2,380. If required, round your answer to two decimal places.


(a)What are the sampling distributions 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 σ(x)

30 $______

50 $______

100 $______

400 $______


(b)What is the advantage of a larger sample size when attempting to estimate the population mean? A larger sample - Select your answer -

increases

does not change

reduces

the standard error and results in a - Select your answer -

more

equally

less

precise estimate of the population mean.

Top Answer

(A) mean = $16642.00 (2 decimals) (B) A larger sample... View the full answer

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