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 (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 1.
Part 3 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 $ .
Part 4 of 5 (d) Would it be unusual if the sample mean were less than $ 7600? Round answer to at least four decimal places. unusual because the probability of the sample mean being less than It (Choose one) $7600 is . Part 5 of 5 (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 a tax less than $7600 is