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The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax retur he mean amount of deductions for this population of taxpayers was $17,920. Assume that the standard deviation is a $2956. Use z-table. . What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $219 of the population mean ach of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. 7= 30 X 7=50 * = 100 × 2 = 400 . What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals. larger sample increases the probability that the sample mean will be within a specified distance of the population mean. In this instance, the for a sample of size 30 to for a sample of size 400 robability of being within +219 of ranges from

The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax retur he mean amount of deductions for this population of taxpayers was $17,920. Assume that the standard deviation is a $2956. Use z-table. . What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $219 of the population mean ach of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. 7= 30 X 7=50 * = 100 × 2 = 400 . What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals. larger sample increases the probability that the sample mean will be within a specified distance of the population mean. In this instance, the for a sample of size 30 to for a sample of size 400 robability of being within +219 of ranges from

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Exercise 07.22 Algo (Sampling Distribution of x)** **The Wall Street Journal** reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax returns. The mean amount of deductions for this population of taxpayers was $17,920. Assume that the standard deviation is σ = $2956. Use the z-table. **a.** What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $219 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. Sample sizes: - \( n = 30 \) - \( n = 50 \) - \( n = 100 \) - \( n = 400 \) **b.** What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals. A larger sample size: - \(\checkmark\) increases the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within ±$219 of μ ranges from: - (input box) for a sample size of \( n = 30 \) - (input box) for a sample size of \( n = 400 \) **Hints(s)** | **Check My Work** --- Graphical Explanation: - There are two main sections, part (a) and part (b). - **Part (a)** provides four fields to be filled with the calculated probabilities corresponding to the sample sizes of 30, 50, 100, and 400. - **Part (b)** includes a dropdown menu with the choice "increases" indicated by a green checkmark and text fields to be completed regarding the probability of being within ±$219 of the mean for sample sizes 30 and 400.
Transcribed Image Text:**Exercise 07.22 Algo (Sampling Distribution of x)** **The Wall Street Journal** reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax returns. The mean amount of deductions for this population of taxpayers was $17,920. Assume that the standard deviation is σ = $2956. Use the z-table. **a.** What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $219 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. Sample sizes: - \( n = 30 \) - \( n = 50 \) - \( n = 100 \) - \( n = 400 \) **b.** What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals. A larger sample size: - \(\checkmark\) increases the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within ±$219 of μ ranges from: - (input box) for a sample size of \( n = 30 \) - (input box) for a sample size of \( n = 400 \) **Hints(s)** | **Check My Work** --- Graphical Explanation: - There are two main sections, part (a) and part (b). - **Part (a)** provides four fields to be filled with the calculated probabilities corresponding to the sample sizes of 30, 50, 100, and 400. - **Part (b)** includes a dropdown menu with the choice "increases" indicated by a green checkmark and text fields to be completed regarding the probability of being within ±$219 of the mean for sample sizes 30 and 400.
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