An automobile manufacturer introduces a new model that averages 26 miles per gallon in the city. A person who plans to purchase one of these new cars wrote the manufacturer for the details of the tests, and found out that the standard deviation is 2 miles per gallon. Assume that in-city mileage is approximately normally distributed. For each of the questions below make sure to show your work. Round any z-score calculated to two decimal places to find your result. 1. What percent of these vehicles have a fuel consumption of 22 to 30 miles per gallon?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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An automobile manufacturer introduces a new model that averages 26 miles per
gallon in the city. A person who plans to purchase one of these new cars wrote the
manufacturer for the details of the tests, and found out that the standard deviation is
2 miles per gallon. Assume that in-city mileage is approximately normally distributed.
For each of the questions below make sure to show your work. Round any z-score
calculated to two decimal places to find your result.
1. What percent of these vehicles have a fuel consumption of 22 to 30 miles per
gallon?
2. The manufacturer wants to know what percent of vehicles have a fuel
consumption less than 23 miles per gallon.
3. Find the fuel consumption for the 90th percentile. Round to one decimal
place.
Transcribed Image Text:An automobile manufacturer introduces a new model that averages 26 miles per gallon in the city. A person who plans to purchase one of these new cars wrote the manufacturer for the details of the tests, and found out that the standard deviation is 2 miles per gallon. Assume that in-city mileage is approximately normally distributed. For each of the questions below make sure to show your work. Round any z-score calculated to two decimal places to find your result. 1. What percent of these vehicles have a fuel consumption of 22 to 30 miles per gallon? 2. The manufacturer wants to know what percent of vehicles have a fuel consumption less than 23 miles per gallon. 3. Find the fuel consumption for the 90th percentile. Round to one decimal place.
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