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 Do reject or fail to reject H0? Fail to reject H0 because t-statistic is more than t-critical Fail to reject H0 because t-statistic is less than t-critical Reject H0 because t-statistic is more than t-critical Reject H0 because t-statistic is less than t-critical
Question 1
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 |
Do reject or fail to reject H0?
|
Fail to reject H0 because t-statistic is more than t-critical |
||
|
Fail to reject H0 because t-statistic is less than t-critical |
||
|
Reject H0 because t-statistic is more than t-critical |
||
|
Reject H0 because t-statistic is less than t-critical |
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