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:
Question 5
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:
|
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 |
Formulate the null and alternative hypotheses that can be used to decide whether the new filtration system could be superior.
| A. |
H0: the hypothesized Ha: the hypothesized mean is greater than zero |
|
| B. |
H0: the hypothesized mean is greater or equal to zero Ha: the hypothesized mean is less than zero (CLAIM) |
|
| C. |
H0: the hypothesized mean is greater or equal to zero (CLAIM) Ha: the hypothesized mean is less than zero |
|
| D. |
H0: the hypothesized mean is equal to zero Ha: the hypothesized mean is not equal to zero (CLAIM) |
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