Two major automobile manufacturers have produced compact cars with the same size engines. We are…

Two major automobile manufacturers have produced compact cars
with the same size engines. We are interested in determining
whether or not there is a significant difference in the MPG (miles
per gallon) of the two brands of automobiles. A random sample of
eight cars from each manufacturer is selected, and eight drivers
are selected to drive each automobile for a specified distance. The
following data are used for this paired/matched sample t test.

Driver Manufacturer
A Manufacturer
B

1 32 28

2 27 22

3 26 27

4 26 24

5 25 24

6 29 25

7 31 28

8 25 27

After conducting the hypothesis test, given significance level
of
=0.05, we can conclude that:

a. Because the p-value is larger than the significance level of
0.05, we fail to reject the null hypothesis and conclude that there
is no significant evidence that the two brands have different
MPG’s.

b. Because the p-value is larger than the significance level of
0.05, we fail to reject the null hypothesis and conclude that the
two brands have same MPG’s.

c. Because the p-value is smaller than the significance level of
0.05, we reject the null hypothesis and conclude that there is
significant evidence that the two brands have different MPG’s.

d. Because the p-value is larger than the significance level of
0.05, we reject the null hypothesis and conclude that there is
significant evidence that the two brands have different MPG’s