Three major automobile manufacturers have entered their cars in the Indianapolis 500 race. The speeds (in miles per hour) of the tested cars are given below. Please note the sample sizes are not equal.
Manufacturer A
Manufacturer B
Manufacturer C
180
177
175
175
180
176
179
167
177
176
172
190
?
At ? = .05, test to see if there is a significant difference in the average racing speeds of the cars of the three auto manufacturers. Use both the critical and p-value approaches.
What will be an ideal response?
| ANOVA | ||||||
| Source of Variation | SS | df | MS | F | p-value | F critical |
| Between Groups | 84 | 2 | 42 | 1.56 | 0.2616 | 4.26 |
| Within Groups | 242 | 9 | 26.89 | |||
| Total | 326 | 11 |
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