The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4900. The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law. What is the probability that the sample mean tax is between $7500 and s8ooo?

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The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4900. The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law. What is the probability that the sample mean tax is between $7500 and s8ooo?
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 $4900. 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 $7800
? Round the answer to at least four decimal places.
The probability that the sample mean tax is less than $7800 is .0606
Part: 1/5
Part 2 of 5
(b) What is the probability that the sample mean tax is between $7500
and $8000? Round the answer to at least four decimal places.
The probability that the sample mean tax is between $7500 and $8000 is
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 $4900. 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 $7800 ? Round the answer to at least four decimal places. The probability that the sample mean tax is less than $7800 is .0606 Part: 1/5 Part 2 of 5 (b) What is the probability that the sample mean tax is between $7500 and $8000? Round the answer to at least four decimal places. The probability that the sample mean tax is between $7500 and $8000 is
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