Math Problem Statement
Suppose you buy a new car whose advertised mileage is 21 miles per gallon (mpg). After driving your car for several months, you find that its mileage is 17.1 mpg. You telephone the manufacturer and learn that the standard deviation of gas mileages for all cars of the model you bought is 1.05 mpg. a. Find the z-score for the gas mileage of your car, assuming the advertised claim is correct. b. Does it appear that your car is getting unusually low gas mileage?
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Z-Score
Normal Distribution
Formulas
Z-score formula: Z = (X - μ) / σ
Theorems
68-95-99.7 rule in Normal Distribution
Suitable Grade Level
Grades 10-12
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