Three different models of automobiles (A, B, and C) were compared for gasoline consumption. For each model of car, fifteen cars were randomly selected and subjected to standard driving procedures. The average miles/gallon and sample standard deviations obtained for each model of car are shown below.
Car A
Car B
Car C
Average miles/gallon42
49
44
Sample Standard Deviation4
5
3
?
Use the above data and test to see if the mean gasoline consumption for all three models of cars is the same. Let ? = .05, and use both the critical and p-value approaches.
What will be an ideal response?
?
| SSTR = 390 | MSTR = 195 |
| SSE = 700 | MSE = 16.67 |
| F = 11.7 > 3.23 (critical value approximated at 40 denominator degrees of freedom); p-value is less than .01; reject H0. | |
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