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 = $2,300. 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 _______ the standard error and results in a ________ precise estimate of the population mean.

Answer 1

The answer for above problem is explained below.

Given that Popula hon mean, 16, 64a E C deviation Standasd 2,300 Sanplins distribu hion of has o f Catculahon deviahon Standard O: 30 2,300 419.92 o (a) ,300 0 50

325.269 for nloo 2,300 100 230 -for 400 9,300 400 I15 30 419. 92O 325. 269 50 230. 00o loo 15. OO0 400

A laxge educes the standand crrox Sample Precise estimak Te Sults rn a and CYOe populahion mean the of