Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4700. The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law. Part 1 of 5 (a) What is the probability that the sample mean tax is less than $8000? Round the answer to at least four decimal places. The probability that the sample mean tax is less than $8000 is Part 2 of 5 Part 3 of 5 (b) What is the probability that the sample mean tax is between $7600 and $8100? Round the answer to at least four decimal places. The probability that the sample mean tax is between $7600 and $8100 is X X 5 Ś (c) Find the 30th percentile of the sample mean. Round the answer to at least two decimal places. The 30th percentile of the sample mean is S X 5 Esp C G E E E
Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4700. The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law. Part 1 of 5 (a) What is the probability that the sample mean tax is less than $8000? Round the answer to at least four decimal places. The probability that the sample mean tax is less than $8000 is Part 2 of 5 Part 3 of 5 (b) What is the probability that the sample mean tax is between $7600 and $8100? Round the answer to at least four decimal places. The probability that the sample mean tax is between $7600 and $8100 is X X 5 Ś (c) Find the 30th percentile of the sample mean. Round the answer to at least two decimal places. The 30th percentile of the sample mean is S X 5 Esp C G E E E
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 11PPS
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Question
![Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4700.
The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law.
Part 1 of 5
(a) What is the probability that the sample mean tax is less than $8000? Round the answer to at least four decimal places.
The probability that the sample mean tax is less than $8000 is
Part 2 of 5
Part 3 of 5
(b) What is the probability that the sample mean tax is between $7600 and $8100? Round the answer to at least four decimal places.
The probability that the sample mean tax is between $7600 and $8100 is
Part 4 of 5
(c) Find the 30th percentile of the sample mean. Round the answer to at least two decimal places.
The 30th percentile of the sample mean is $
X
X
3
Ś
Part 5 of 5
(d) Would it be unusual if the sample mean were less than $7600? Round answer to at least four decimal places.
It (Choose one) ▼ unusual because the probability of the sample mean being less than $7600 is
S
(e) Do you think it would be unusual for an individual to pay a tax of less than $7600? Explain. Assume the variable is normally distributed. Round the
answer to at least four decimal places.
(Choose one) ▼, because the probability that an individual to pays tax less than $7600 is
X
3
Español
∞o
B
M](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd990cdd-ee11-4e18-b5de-3c59c3ecfc2c%2F5521e2d6-f5d2-488c-b34e-53b4f7cf23a3%2F8ae34bj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4700.
The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law.
Part 1 of 5
(a) What is the probability that the sample mean tax is less than $8000? Round the answer to at least four decimal places.
The probability that the sample mean tax is less than $8000 is
Part 2 of 5
Part 3 of 5
(b) What is the probability that the sample mean tax is between $7600 and $8100? Round the answer to at least four decimal places.
The probability that the sample mean tax is between $7600 and $8100 is
Part 4 of 5
(c) Find the 30th percentile of the sample mean. Round the answer to at least two decimal places.
The 30th percentile of the sample mean is $
X
X
3
Ś
Part 5 of 5
(d) Would it be unusual if the sample mean were less than $7600? Round answer to at least four decimal places.
It (Choose one) ▼ unusual because the probability of the sample mean being less than $7600 is
S
(e) Do you think it would be unusual for an individual to pay a tax of less than $7600? Explain. Assume the variable is normally distributed. Round the
answer to at least four decimal places.
(Choose one) ▼, because the probability that an individual to pays tax less than $7600 is
X
3
Español
∞o
B
M
![Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4700.
The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law.
Part 1 of 5
(a) What is the probability that the sample mean tax is less than $8000? Round the answer to at least four decimal places.
The probability that the sample mean tax is less than $8000 is
Part 2 of 5
X
5
(b) What is the probability that the sample mean tax is between $7600 and $8100? Round the answer to at least four decimal places.
The probability that the sample mean tax is between $7600 and $8100 is
X
S
8 ME >](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd990cdd-ee11-4e18-b5de-3c59c3ecfc2c%2F5521e2d6-f5d2-488c-b34e-53b4f7cf23a3%2F67dbpgm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4700.
The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law.
Part 1 of 5
(a) What is the probability that the sample mean tax is less than $8000? Round the answer to at least four decimal places.
The probability that the sample mean tax is less than $8000 is
Part 2 of 5
X
5
(b) What is the probability that the sample mean tax is between $7600 and $8100? Round the answer to at least four decimal places.
The probability that the sample mean tax is between $7600 and $8100 is
X
S
8 ME >
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