Question
A company wishes to study how three different gasoline types (A, B, and C) and two different types of tire (X and Y) affect the
A company wishes to study how three different gasoline types (A, B, and C) and two different types of tire (X and Y) affect the mileage obtained by a popular compact automobile model. A total of 12 cars, divided in groups of two, are randomly selected and are assigned to treatments. The data in the following table were obtained by using a completely randomized experimental design.
The partial Excel output of a two-way ANOVA of the mileage data is provided in the following:
| Two factor ANOVA | |||||
| Factor 2 | |||||
| Means: | |||||
| A | B | C | |||
| X | 32.5 | 30.5 | 31.0 | 31.3 | |
| Factor 1 | Y | 33.0 | 33.0 | 32.0 | 32.7 |
| 32.8 | 31.8 | 31.5 | 32.0 | ||
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| ANOVA table |
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| Source | SS | df | MS | F | p-value |
| Factor 1 |
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| Factor 2 | 3.50 |
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| Interaction | 2.17 |
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| Error | 51.00 |
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| Total | 62.00 |
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Can we conclude that at least one of the different fuel types has a different effect on mileage per gallon?
Can we conclude that at least one of the tire types has a different effect on the mileage per gallon?
Are there any interaction effects between type of fuel and type of tire?
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