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 of the two brands of automobiles. A random sample of 8 cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data show the results of the test:

Driver Manufacturer A Manufacturer B

1 33 29

2 26 21

3 27 23

4 28 29

5 25 22

6 31 30

7 26 29

8 24 27

a. Find d.

b. Find Sd

c. Find the test statistic for this type of data.

d. Find the p-value.