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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 $5000. 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 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 70th percentile of the sample mean. Round the answer to at least two decimal places. The 70 percentile of the sample mean is $ Part 4 of 5 Part 5 of 5 X (d) Would it be unusual if the sample mean were less than $7900? Round answer to at least four decimal places. It (Choose one) unusual because the probability of the sample mean being less than $7900 Ś (Choose one) (e) Do you think it would be unusual for an individual to pay a tax of less than $7900? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places. X because the probability that an individual to pays a tax less than $7900 is Expañol

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 $5000. 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 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 70th percentile of the sample mean. Round the answer to at least two decimal places. The 70 percentile of the sample mean is $ Part 4 of 5 Part 5 of 5 X (d) Would it be unusual if the sample mean were less than $7900? Round answer to at least four decimal places. It (Choose one) unusual because the probability of the sample mean being less than $7900 Ś (Choose one) (e) Do you think it would be unusual for an individual to pay a tax of less than $7900? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places. X because the probability that an individual to pays a tax less than $7900 is Expañol

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 19SGR
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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 $5000. 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 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 70th percentile of the sample mean. Round the answer to at least two decimal places. The 70 percentile of the sample mean is $ Part 4 of 5 x (d) Would it be unusual if the sample mean were less than $7900? Round answer to at least four decimal places. It (Choose one) unusual because the probability of the sample mean being less than $7900 Part 5 of 5 X (e) Do you think it would be unusual for an individual to pay a tax of less than $7900? 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 $7900 IS X Expanel
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 $5000. 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 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 70th percentile of the sample mean. Round the answer to at least two decimal places. The 70 percentile of the sample mean is $ Part 4 of 5 x (d) Would it be unusual if the sample mean were less than $7900? Round answer to at least four decimal places. It (Choose one) unusual because the probability of the sample mean being less than $7900 Part 5 of 5 X (e) Do you think it would be unusual for an individual to pay a tax of less than $7900? 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 $7900 IS X Expanel
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