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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
Transcribed Image Text:Exercise 07.22 Algo (Sampling Distribution of x)
Question 1 of 10 ►
Hint(s) Check My Work
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 return.
The mean amount of deductions for this population of taxpayers was $17,920. Assume that the standard deviation is o = $2956. Use 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.
n = 30
X
n = 50
X
n = 100
X
n = 400
X
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 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 400.
probability of being within +219 of μ ranges from
X for a sample of size 30 to
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill