Question

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 unusually low gas mileage?

(Round to two decimal places as needed.)

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?

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:

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 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

The manufacturer of a new compact car claims the miles per
gallon (mpg) for the gasoline consumption is mound-shaped and
symmetric with a mean of 27.4 mpg and a standard deviation of 10.2
mpg. If 29 such cars are tested, what is the probability the
average mpg achieved by these 29 cars will be greater than 29?
Answer: Round your answer to 4 decimal places as necessary. For
example, 0.1357 would be a legitimate entry. Make sure you include
the...

A car manufacturer claims that the miles per gallon (mpg) of all
its midsize cars can be modeled with a normal model with N(33,
1.70).
What proportion of cars have miles per gallon less than 31.2
[P(x ≤ 31.2 mpg)]?
What proportion of cars will have miles per gallon greater than
36 [P(x ≥ 36 mpg)]?
What proportion of cars will have miles per gallon greater than
29.7 [P(x ≥ 29.7 mpg)]?
What proportion of cars will have miles per...

An automobile manufacturer introduces a new model that
averages 27 miles per gallon in the city. A person who plans to
purchase one of these new cars wrote the manufacturer for the
details of the tests, and found out that the standard deviation is
3 miles per gallon. Assume that in-city mileage is approximately
normally distributed (use z score table)
a) What percentage of the time is the car averaging less than
20 miles per gallon for in-city driving.
b)...

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...

Suppose your car gets 26 miles per gallon of gasoline, and you
are driving at 50 miles per hour. Using unit analyses find the
number of hours it takes to use 1 gallon of gas

An automobile manufacturer claims that its car has a 28.0
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this car since it is believed that
the car has an incorrect manufacturer's MPG rating. After testing
270 cars, they found a mean MPG of 27.8. Assume the variance is
known to be 6.25 A level of significance of 0.02 will be used. Find
the value of the test statistic. Round your answer to 2...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 10 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago