Question

15.

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 65 miles and a standard
deviation of 5 miles. Find the probability of the following
events:

Be sure to use at least 4 decimals of accuracy in your
answers.,

A. The car travels more than 71 miles per gallon.

Probability =

B. The car travels less than 61 miles per gallon.

Probability =

C. The car travels between 58 and 68 miles per gallon.

Probability =

16.

Assume Z is a standard normal random variable.

(a) Find the Z score such that the area under the standard
normal curve to the left of Z is 0.5

z =

(b) Find the Z score such that the area under the standard
normal curve to the left of Z is 0.9826

z =

(c) Find the Z score such that the area under the standard
normal curve to the right of Z is 0.1423

z =

(d) Find the Z score such that the area under the standard
normal curve to the right of Z is 0.9394

z =

Answer #1

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 60 miles and a standard
deviation of 5 miles. Find the probability of the following
events:
Be sure to use at least 4 decimals of accuracy in your answers:
A) The car travels more than 65 miles per gallon.
B) The car travels between 53 and 64 miles per gallon.

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 55 miles and a standard
deviation of 7 miles. Find the probability of the following
events:
A. The car travels more than 63 miles per gallon.
Probability =
B. The car travels less than 48 miles per gallon.
Probability =
C. The car travels between 49 and 63 miles per...

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 65 miles and a standard
deviation of 5 miles. Find the probability of the following
events:
A. The car travels more than 70 miles per gallon. Probability
=
B. The car travels less than 57 miles per gallon. Probability
=
C. The car travels between 58 and 72 miles per...

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 60 miles and a standard
deviation of 6 miles. Find the probability of the following
events:
A. The car travels more than 63 miles per gallon.
Probability =
B. The car travels less than 52 miles per gallon.
Probability =
C. The car travels between 52 and 66 miles per...

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 50 miles and a standard
deviation of 7 miles. Find the probability of the following
events:
A. The car travels more than 53 miles per gallon.
Probability =
B. The car travels less than 47 miles per gallon.
Probability =
C. The car travels between 42 and 58 miles per...

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 60 miles and a standard
deviation of 7 miles. Find the probability of the following
events:
A. The car travels more than 65 miles per gallon. Probability
=
B. The car travels less than 54 miles per gallon. Probability
=
C. The car travels between 52 and 67 miles per...

A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 65 miles and a standard
deviation of 7 miles. Find the probability of the following
events:
A. The car travels more than 69 miles per gallon.
Probability =
B. The car travels less than 57 miles per gallon.
Probability =
C. The car travels between 60 and 69 miles per...

Using the Standard Normal Table found in your textbook, find the
z-scores such that: (a) The area under the standard normal curve to
its left is 0.5 z = (b) The area under the standard normal curve to
its left is 0.9826 z = (c) The area under the standard normal curve
to its right is 0.1423 z = (d) The area under the standard normal
curve to its right is 0.9394

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...

4 pts
Suppose that an automobile manufacturer advertises that its new
hybrid car has a mean gas mileage of 50 miles per gallon. You take
a simple random sample of 30 hybrid-vehicles and test their gas
mileage. You find that in this sample, the average is 47
miles per gallon with a standard deviation of s= 5.5 miles per
gallon. Does this indicate that the advertiser’s statement is true
or false , with a 0.05 level of significance?
What is the...

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