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 $16,434. Assume that the standard deviation is o = $2,961. 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 $180 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. 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 - sSelect your answer - v the probability that the sample mean will be within a specified distance of the population mean. In the automobile insurance example, the probability of being within ±180 of µ ranges from for a sample of size 30 to| for a sample of size 400.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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CENGAGE MINDTAP
Q Search this course
Exam 2
4.
5.
6.
o 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 $16,434. Assume that the standard deviation is o = $2,961. Use
A-Z
7.
z-table.
8.
a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $180 of the
o population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals.
ofce
9.
10.
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 - Select your answer - v the probability that the sample mean will be within a specified distance of the population mean. In the automobile
insurance example, the probability of being within ±180 of u ranges from
for a sample of size 30 to
for a sample of size 400.
O- Icon Key
O * 9 2 4 O 8
Transcribed Image Text:>> CENGAGE MINDTAP Q Search this course Exam 2 4. 5. 6. o 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 $16,434. Assume that the standard deviation is o = $2,961. Use A-Z 7. z-table. 8. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $180 of the o population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. ofce 9. 10. 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 - Select your answer - v the probability that the sample mean will be within a specified distance of the population mean. In the automobile insurance example, the probability of being within ±180 of u ranges from for a sample of size 30 to for a sample of size 400. O- Icon Key O * 9 2 4 O 8
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