Question

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. What are the quintiles of the distribution of gas mileage?

Please explain each step, Thanks!!

There is no other data, this is exactly as stated in the book

Answer #1

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 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...

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...

Fuel Efficiency of Manual and Automatic
Cars
Each year the US Environmental Protection Agency (EPA) releases
fuel economy data on cars manufactured in that year. Below are
summary statistics on fuel efficiency (in miles/gallon) from random
samples of cars with manual and automatic transmissions
manufactured in 2012. Do these data provide strong evidence of a
difference between the average fuel efficiency of cars with manual
and automatic transmissions in terms of their average city mileage?
Assume that conditions for inference...

The Environmental Protection Agency
measures a mean gas mileage for recently tested cars as 24.8 mpg
with a standard
deviation of 6.2 mpg. The dataset
on Fuel economy in StatCrunch gives an average of
24.2 mpg with a standard deviation of 6.5 mpg. Joe’s car is
estimated at 30 mpg.
(a) Calculate the z-scores to find the relative tab at both
sources (the Exercise and
the Dataset).
(b) Relative to the other cars,
with which source will Joe have
the...

the Environmental Protection Agency measures a mean gas mileage
for recently tested cars as 24.8 mpg with a standard deviation of
6.2 mpg. The dataset on Fuel economy in StatCrunch gives an average
of 24.2 mpg with a standard deviation of 6.5 mpg. Joe’s car is
estimated at 30 mpg.
(a) Calculate the z-scores to find the relative tab
at both sources (the Exercise and the Dataset).
(b) Relative to the other cars, with which source
will Joe have the...

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