A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below, use the 0.05 level of significance in determining whether the new filtration system could be superior.
Question 3
A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below, use the 0.05 level of significance in determining whether the new filtration system could be superior.
|
Truck Number |
Current Filter (mpg) |
New Filter (mpg) |
|
1 |
7.6 |
7.3 |
|
2 |
4.1 |
7.2 |
|
3 |
10.4 |
6.8 |
|
4 |
6.9 |
10.6 |
|
5 |
5.6 |
8.8 |
|
6 |
7.9 |
8.7 |
|
7 |
5.4 |
5.7 |
|
8 |
5.7 |
8.7 |
|
9 |
5.5 |
8.9 |
|
10 |
5.3 |
7.1 |
What is your conclusion?
|
There is enough evidence to support the claim |
||
|
There is no enough evidence to support the claim |
||
|
There is enough evidence to reject the claim |
||
|
There is no enough evidence to reject the claim |
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