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