Question

In its Fuel Economy Guide for 2014 model vehicles, the Environmental Protection Agency gives data on 1160 vehicles. There are a number of high outliers, mainly hybrid gas-electric vehicles. If we ignore the vehicles identified as outliers, however, the combined city and highway gas mileage of the other 1134 vehicles is approximately Normal with mean 22.8 miles per gallon (mpg) and standard deviation 5.3 mpg.

The quintiles of any distribution are the values with cumulative proportions 0.20, 0.40, 0.60, and 0.80. What are the quintiles of the distribution of gas mileage?

(Use software)

The first quintile is (±±0.01 mpg) mpg.

The first quintile is (±±0.01 mpg) mpg.

The first quintile is (±±0.01 mpg) mpg.

The first quintile is (±±0.01 mpg) mpg.

QUESTION 2:

In its Fuel Economy Guide for 2014 model vehicles, the Environmental Protection Agency gives data on 1160 vehicles. There are a number of high outliers, mainly hybrid gas-electric vehicles. If we ignore the vehicles identified as outliers, however, the combined city and highway gas mileage of the other 1134 vehicles is approximately Normal with mean 22.3 miles per gallon (mpg) and standard deviation 5.1 mpg. 2014 Volkswagen Beetle with a five-cylinder 2.5L engine and automatic transmission has combined gas mileage 25 mpg. What percent (±0.1) of all vehicles have better gas mileage than the Beetle (use software)?

Answer #1

**Solution:-**

**1)**

**Mean 22.8, S.D = 5.3**

**First quintile**

p-value for the first quintile = 0.20

z-score for the p-value = - 0.842

By applying normal distribution:-

x = 22.67

**Second quintile**

p-value for the first quintile = 0.40

z-score for the p-value = - 0.253

By applying normal distribution:-

x = 22.76

**Third quintile**

p-value for the first quintile = 0.60

z-score for the p-value = 0.253

By applying normal distribution:-

x = 22.84

**Fourth quintile**

p-value for the fourth quintile = 0.80

z-score for the p-value = 0.842

By applying normal distribution:-

x = 22.93.

In its Fuel Economy Guide for 2014 model vehicles, the
Environmental Protection Agency gives data on 1160 vehicles. There
are a number of high outliers, mainly hybrid gas-electric vehicles.
If we ignore the vehicles identified as outliers, however, the
combined city and highway gas mileage of the other 1134 vehicles is
approximately Normal with mean 22.8 miles per gallon (mpg) and
standard deviation 5.3 mpg. The quintiles of any distribution are
the values with cumulative proportions 0.20, 0.40, 0.60, and...

In its Fuel Economy Guide for 2016 model vehicles, the
Environmental Protection Agency gives data on 1170 vehicles. There
are a number of high outliers, mainly hybrid gas-electric vehicles.
If we ignore the vehicles identified as outliers, however, the
combined city and highway gas mileage of the other 1146 vehicles is
approximately Normal with mean 23.0 miles per gallon and standard
deviation 4.9 mpg.
The quintiles of any distribution are the values with cumulative
proportions 0.20, 0.40, 0.60, and 0.80....

NOTE: The numerical values in this problem have been modified
for testing purposes.
In its Fuel Economy Guide for 2014 model vehicles, the
Environmental Protection Agency gives data on 1160 vehicles. There
are a number of high outliers, mainly hybrid gas-electric vehicles.
If we ignore the vehicles identified as outliers, however, the
combined city and highway gas mileage of the other 1134 vehicles is
approximately Normal with mean 23 miles per gallon (mpg) and
standard deviation 5.3 mpg.
The quintiles...

(3.38) NOTE: The numerical values in this problem have been
modified for testing purposes.
In its Fuel Economy Guide for 2014 model vehicles, the
Environmental Protection Agency gives data on 1160 vehicles. There
are a number of high outliers, mainly hybrid gas-electric vehicles.
If we ignore the vehicles identified as outliers, however, the
combined city and highway gas mileage of the other 1134 vehicles is
approximately Normal with mean 22.9 miles per gallon (mpg) and
standard deviation 5.2 mpg.
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Fuel Efficiency of Manual and Automatic
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Each year the US Environmental Protection Agency (EPA) releases
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