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Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the...

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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 $4900,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 $7800? Round the answer to at least four decimal places.

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