Question

A car has a gas mileage listing of 28 miles per gallon. You take the car out on 56 trips and find the average gas mileage to be 25 with a standard deviation of 6 mpg.

a) At the .01 level is the car getting gas mileage less than expected? (p = 0)

b) True or false: natural variability is the reason for the change in gas mileage

Answer:

Answer #1

A certain car model has a mean gas mileage of 31 miles per
gallon (mpg) with astandard deviation 3 mpg. A pizza delivery
company buys 43 of these cars. What is theprobability that the
average mileage of the fleet is greater than 30.7 mpg?

The mean gas mileage for a hybrid car is 56 miles per gallon.
Suppose that the gasoline mileage is approximately normally
distributed with a standard deviation of
3.3 miles per gallon.
(a) What proportion of hybrids gets over 61 miles per
gallon?
(b) What proportion of hybrids gets 52 miles per gallon or
less?
(c) What proportion of hybrids gets between 59 and 62 miles per
gallon?
(d) What is the probability that a randomly selected hybrid gets
less than...

A certain car model has a mean gas mileage of 31 miles per
gallon (mpg) with a standard deviation 3 mpg. A pizza delivery
company buys 43 of these cars. What is the probability that the
average mileage of the fleet is greater than 30.7 mph

Suppose you buy a new car whose advertised mileage is 23 miles
per gallon (mpg). After driving your car for several months, you
find that its mileage is 18.5 mpg. You telephone the manufacturer
and learn that the standard deviation of gas mileages for all cars
of the model you bought is 1.24 mpg.
a. Find the z-score for the gas mileage of your car, assuming
the advertised claim is correct.
b. Does it appear that your car is getting...

A certain model of automobile has its gas mileage (in miles per
gallon, or mpg) normally distributed, with a mean of 32 mpg and a
standard deviation of 4 mpg. Find the probability that a car
selected at random has the following gas mileages. (Round your
answers to four decimal places.) (a) less than 26 mpg (b) greater
than 34 mpg (c) between 30 and 34 mpg

A car salesperson claims that the mean gas mileage for its
luxury sedan is at least 25 miles per gallon (mpg). A random
sample of 30 cars has a mean gas mileage of 24 mpg and a (sample)
standard deviation of 3.5 mpg.
a) State the null and alternative
hypotheses.
b) Determine the P-Value
c) State the outcome of the test at α =
0.05

A Ford Focus manual transmission gets an average of 28 miles per
gallon (mpg) in city driving with a standard deviation of 1.6 mpg.
Assume that gas mileage is normally distributed.
a) If a Focus is selected at random, what is the probability
that it will get more than 31 mpg?
b) What is the probability that a randomly selected Focus will
get between 20 and 30 mpg?
c) What is the probability that a randomly selected Focus will
get...

1) What Is Significant? Padme checks her car’s gas mileage
every time she fills up the tank.
Usually it comes out to about 28 miles per gallon, give or
take 3 miles per gallon.
a) This week Padme calculates the mileage from her last tank
of gas as being 24 MPG. Should she attribute this to normal
fluctuations in her mileage, or should she consider this
statistically significant and suspect that something’s going on
with her car? [.5 point]
b)...

Gas mileage, in miles per gallon, was measured for five 2012
Ford Explorer SUVs. The five results are as follows: 20.4 19.6 17.1
17.9. 18.7
a. Compute the sample mean.
b. Compute the sample variance and standard deviation.
c. Construct a 95% confidence interval for the average gas
mileage in miles per gallon.

Assume that gas mileage for cars is normally distributed with a
mean of 23.5 miles per gallon and a standard deviation of 10 miles
per gallon. Show all work. Just the answer, without supporting
work, will receive no credit.
(a) What is the probability that a randomly selected car gets
between 15 and 30 miles per gallon? (Round the answer to 4 decimal
places)
(b) Find the 75th percentile of the gas mileage distribution.
(Round the answer to 2 decimal...

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