In: Statistics and Probability
As part of a study designed to compare hybrid and similarly equipped conventional vehicles, Consumer Reports tested a variety of classes of hybrid and all-gas model cars and sport utility vehicles (SUVs). The following data show the miles-per-gallon rating Consumer Reports obtained for two hybrid small cars, two hybrid midsize cars, two hybrid small SUVs, and two hybrid midsize SUVs; also shown are the miles per gallon obtained for eight similarly equipped conventional models.
Make/Model | Class | Type | MPG |
---|---|---|---|
Honda Civic | Small Car | Hybrid | 37 |
Honda Civic | Small Car | Conventional | 28 |
Toyota Prius | Small Car | Hybrid | 44 |
Toyota Corolla | Small Car | Conventional | 32 |
Chevrolet Malibu | Midsize Car | Hybrid | 27 |
Chevrolet Malibu | Midsize Car | Conventional | 23 |
Nissan Altima | Midsize Car | Hybrid | 32 |
Nissan Altima | Midsize Car | Conventional | 25 |
Ford Escape | Small SUV | Hybrid | 27 |
Ford Escape | Small SUV | Conventional | 21 |
Saturn Vue | Small SUV | Hybrid | 28 |
Saturn Vue | Small SUV | Conventional | 22 |
Lexus RX | Midsize SUV | Hybrid | 23 |
Lexus RX | Midsize SUV | Conventional | 19 |
Toyota Highlander | Midsize SUV | Hybrid | 24 |
Toyota Highlander | Midsize SUV | Conventional | 18 |
At the α = 0.05 level of significance, test for significant effects due to class, type, and interaction.
Find the value of the test statistic for class. (Round your answer to two decimal places.)
Find the p-value for class. (Round your answer to three decimal places.)
p-value =
Find the value of the test statistic for type. (Round your answer to two decimal places.)
Find the p-value for type. (Round your answer to three decimal places.)
p-value =
Find the value of the test statistic for interaction between class and type. (Round your answer to two decimal places.)
Find the p-value for interaction between class and type. (Round your answer to three decimal places.)
p-value =