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# 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.

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

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