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 $4800. 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 $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 X S (b) What is the probability that the sample mean tax is between $7400 and $7900? Round the answer to at least four decimal places. The probability that the sample mean tax is between $7400 and $7900 is X S

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 26E
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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 $4800. 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 $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
X
(b) What is the probability that the sample mean tax is between $7400 and $7900? Round the answer to at least four decimal places.
The probability that the sample mean tax is between $7400 and $7900 is
X
S
Espa
C
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 $4800. 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 $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 X (b) What is the probability that the sample mean tax is between $7400 and $7900? Round the answer to at least four decimal places. The probability that the sample mean tax is between $7400 and $7900 is X S Espa C
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