Answer the three following questions a, b, and c. 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.
Answer the three following questions a, b, and c. 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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Question
Answer the three following questions a, b, and c. 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.
![(a) What is the probability that the sample mean tax is less than $8200? Round the answer to at least four decimal places.
The probability that the sample mean tax is less than $8200 is
Part 2 of 5
(b) What is the probability that the sample mean tax is between $7600 and $7900? Round the answer to at least four
decimal places.
The probability that the sample mean tax is between $7600 and $7900 is
Part 3 of 5
(c) Find the 80th
percentile of the sample mean. Round the answer to at least two decimal places.
The 80th
percentile of the sample mean is $](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F580fed6f-1613-4587-bef4-89d62b49e733%2Fc2b5dd19-0d19-4270-ae39-e6d47b1f672b%2F803307z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) What is the probability that the sample mean tax is less than $8200? Round the answer to at least four decimal places.
The probability that the sample mean tax is less than $8200 is
Part 2 of 5
(b) What is the probability that the sample mean tax is between $7600 and $7900? Round the answer to at least four
decimal places.
The probability that the sample mean tax is between $7600 and $7900 is
Part 3 of 5
(c) Find the 80th
percentile of the sample mean. Round the answer to at least two decimal places.
The 80th
percentile of the sample mean is $
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