Question

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 highest mpg?

These next questions focus on the

Dataset. Assume a normal model and use the

calculator functions normalcdf and InvNorm.

(c) What percent of cars had a measure of less than 20 mpg?

(d) What percent of cars had a

measure of more than 30 mpg?

Answer #1

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 (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...

The Environmental Protection Agency (EPA) fuel economy estimates
for automobile models tested recently predicted a mean of 24.8
miles per gallon, with a standard deviation of 6.2 miles per
gallon. Assume that a Normal model applies. Find the probability
that a randomly selected automobile will average:
1. Less than 20 miles per gallon.
2. More than 30 miles per gallon.
3. Between 25 and 32 miles per gallon

The Environmental Protection Agency rates the mean highway gas
mileage of the 2017 Chevrolet Sonic to be 28 miles per gallon.
Assume the standard deviation is 3 miles per gallon. A rental car
company buys 50 of these cars.
What is the probability that the mean gas mileage of the rental
fleet is less than 27.5 miles per gallon?
Find the 70th percentile of the mean mileage for the rental
fleet. Round your answer to two decimal digits.

The Environmental Protection Agency (EPA) rates the mean highway
gas mileage of the 2017 Chevrolet Sonic to be 28 miles per gallon.
Assume the standard deviation is 3 miles per gallon. A rental
company bought 60 of these cars.
a. What is the probability that the average mileage of the fleet
is greater than 27.5 miles per gallon?
b. What is the probability that the average mileage of the fleet
is between 27 and 27.8 miles per gallon?
c. What...

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...

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...

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....

Assume that fuel economy follows a normal distribution with mean
of 24 mpg (miles per gallon) and a standard deviation of 6 mpg.
(a) In what interval would you expect the central 68% of autos
to be found?
(b) What percent of autos should get more than 30 mpg?
(c) What gas mileage corresponds to the worst 2.5% of all
cars?

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