Gasoline mileage (mpg) was measured on several cars of each offour different makes (coded 1, 2, 3 and 4). The make of each car isstored in the first column, and the mileage for each car is storedin the second column, of Table A. You need to conduct an analysisof variance to see if there are differences among the four makes ingasoline mileage. You should also estimate the mileage of each ofthe four makes of cars.
1. What is the value of the F‑statistic for testing the nullhypothesis that there are no differences in gasoline mileage amongthe four makes of automobile?
2. What are the degrees of freedom associated with the numerator ofthis test statistic?
3. What are the degrees of freedom associated with the denominatorof the F‑value for MAKE of car?
4. What is the estimate of the pooled variance within makes of cars(i.e. the Error mean square)?
5. What are the degrees of freedom for this variance in #4?
| 1 | 20 |
| 1 | 16.8 |
| 1 | 24.1 |
| 1 | 12.7 |
| 1 | 10.2 |
| 1 | 18.7 |
| 1 | 18.8 |
| 1 | 14.7 |
| 2 | 9.2 |
| 2 | 7.1 |
| 2 | 14.3 |
| 2 | 13.5 |
| 2 | 12.2 |
| 2 | 10.3 |
| 2 | 9.2 |
| 3 | 15.5 |
| 3 | 22.8 |
| 3 | 18.5 |
| 3 | 24 |
| 3 | 25.3 |
| 3 | 23 |
| 3 | 15.9 |
| 3 | 23 |
| 3 | 21.2 |
| 4 | 7 |
| 4 | 13.3 |
| 4 | 11.4 |
| 4 | 15.7 |
| 4 | 20.8 |
| 4 | 14.1 |
| 4 | 19.2 |
| 4 | 16.1 |
