In order to compare the life expectancies of three different brands of tires, ten tires of each brand were randomly selected and were subjected to standard wear-testing procedures. Information regarding the three brands is shown below.
Brand A
Brand B
Brand C
Average mileage (in 1000 miles)37
38
33
Sample variance3
4
2
?
Use the above data and test to see if the mean mileage for all three brands of tires is the same. Let ? = .01. Use both the critical value and p-value approaches.
What will be an ideal response?
?
| SSTR = 140 | MSTR = 70 |
| SSE = 81 | MSE = 3 |
| F = 23.33 > 5.49; p-value is less than .01 (almost zero); reject H0. | |
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