Engineers are testing company fleet vehicle fuel economy (milesper gallon) performance by using different types of fuel. Onevehicle of each size is tested. Does this sample provide sufficientevidence to conclude that there is a significant difference intreatment means?
| 87 Octane | 89 Octane | 91 Octane | Ethanol 5% | Ethanol 10% |
| Compact | 30.8 | 28.4 | 17.7 | 30.7 | 31.1 |
| Mid-Size | 17.0 | 19.9 | 20.1 | 17.1 | 31.4 |
| Full-Size | 28.9 | 29.0 | 20.4 | 27.0 | 31.3 |
| SUV | 21.9 | 22.8 | 19.5 | 18.7 | 29.6 |
|
  Click here for the Excel Data File
(a) Choose the correct statement.
(b) Fill in the boxes. (Round your SSvalues to 3 decimal places, F values to 2 decimal places,and other answers to 4 decimal places.)
| Two-Factor ANOVA |
| Source | SS | df | MS | F | p-value |
| Treatments (Fuel Type) | Not attempted | Not attempted | Not attempted | Not attempted | Not attempted |
| Blocks (Vehicle Size) | Not attempted | Not attempted | Not attempted | Not attempted | Not attempted |
| Error | Not attempted | Not attempted | Not attempted | | |
| Total | Not attempted | Not attempted | | | |
|
| Group | Mean | n | Std. Dev |
| 87 Octane | Not attempted | Not attempted | Not attempted |
| 89 Octane | Not attempted | Not attempted | Not attempted |
| 91 Octane | Not attempted | Not attempted | Not attempted |
| Ethanol 5% | Not attempted | Not attempted | Not attempted |
| Ethanol 10% | Not attempted | Not attempted | Not attempted |
| | | |
| Compact | Not attempted | Not attempted | Not attempted |
| Mid-Size | Not attempted | Not attempted | Not attempted |
| Full-Size | Not attempted | Not attempted | Not attempted |
| SUV | Not attempted | Not attempted | Not attempted |
| Total | Not attempted | Not attempted | Not attempted |
|
(c) Choose the correct statement. Use α =0.05.
Fuel type means differ significantly and vehicle size is also asignificant factor.
Fuel type means do not differ significantly, but vehicle size isa significant factor.
Fuel type means differ significantly, but vehicle size is not asignificant factor.
Fuel type means do not differ significantly and vehicle size isnot a significant factor.
(d) Which fuel types show a significant difference inaverage fuel economy? Use α = 0.01. (You may select morethan one answer. Click the box with a check mark for the correctanswer and click to empty the box for the wronganswer.)
