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.

Answer #1

for 20th percentile critical value of z= | -0.8416 | ||

therefore corresponding value=mean+z*std deviation= | 18.34 |

**hence first quintile is 18.34 mpg**

for 40th percentile critical value of z= | -0.2533 | ||

therefore corresponding value=mean+z*std deviation= | 21.46 |

**second quintile is 21.46 mpg**

for 60th percentile critical value of z= | 0.2533 | ||

therefore corresponding value=mean+z*std deviation= | 24.14 |

**third quintile is 24.14 mpg**

for 80th percentile critical value of z= | 0.8416 | ||

therefore corresponding value=mean+z*std deviation= | 27.26 |

**fourth quintile is 27.26 mpg**

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.
The...

The Environmental Protection Agency (EPA) fuel economy estimates
for automobile models tested recently predicted a mean of 24.8 mpg
and a standard deviation of 6.2 mpg for highway driving. Assume
that a Normal model can be applied.
a) Draw the model for auto fuel economy. Clearly label it,
showing what the 68-95-97 Rule predicts. Use StatCrunch, Excel, or
Minitab.
b) In what interval would you expect the central 68% of autos to
be found?
c) About what percent of autos...

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