Discuss the below:
Q: A taxi company manager is trying to decide if the use of radial tires instead of regular belted tires improves fuel economy. As a test twelve cars are equipped with belted tires and the cars are driven over a prescribed test course. Without changing drivers the same cars were then equipped with the radial tires and driven once again over the test course. The gasoline consumption in kilometers/liter is recorded as follows.
|
Car
|
Belted
|
Radial
|
|
1
|
5.5
|
5.0
|
|
2
|
4.9
|
6.2
|
|
3
|
5.5
|
5.5
|
|
4
|
5.3
|
6.6
|
|
5
|
3.9
|
7.4
|
|
6
|
4.3
|
5.1
|
|
7
|
6.8
|
5.6
|
|
8
|
5.7
|
6.7
|
|
9
|
6.5
|
5.9
|
|
10
|
4.9
|
6.7
|
|
11
|
6.5
|
7.6
|
|
12
|
1.9
|
6.0
|
Can we conclude that the radial tires improve fuel economy (i.e. higher kilometers/liter)? Assume the fuel data is from normally distributed populations. State your hypotheses and use the P-value in your conclusion.