Concept explainers
To find:The highest gas mileage that fall in the top 10% of all vehicles
Answer to Problem 80E
The highest gas mileage that fall in the top 10% of all vehicles is 24.204mpg
Explanation of Solution
Given:
The mean gas mileage,
The standard deviation of gas mileage,
Calculation:
If the random variable X denotes the number of vehicles that have gas mileage, then we are given that
Where
It is supposed to find the highest gas mileage that falls in the top 10% of all vehicles
In other words, find z' that corresponds to the top 10%
That is,
From standard normal tables, the value of z corresponding to 0.90 cumulative area is 1.28.
That is,
Conclusion: Hence, the highest gas mileage highest gas mileage that fall in the top 10% of all vehicles is 24.204mpg
Chapter 3 Solutions
The Practice of Statistics for AP - 4th Edition
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