In an experiment to see whether the amount of coverage of light-blue interior latex paint depends either on the brand of paint or on the brand of roller used, one gallon of each of four brands of paint was applied using each of three brands of roller, resulting in the following data (number of square feet covered).
| Roller Brand |
| Paint Brand |
1 |
2 |
3 |
| 1 |
454 |
446 |
451 |
| 2 |
446 |
444 |
447 |
| 3 |
439 |
442 |
444 |
| 4 |
444 |
437 |
443 |
a.. Construct the ANOVA table. (Hint: The computa-tion can be expedited by subtracting 400 or any other convenient number) from each observation. This does .not affect the final results]
b. State and test hypotheses appropriate for deciding whether paint brand has any effect on coverage. Use .05.
c. Repeal part (b) for brand of roller.
d. Use Tukey's method to identify significant differ-ences among brands. Is there one brand that seems clearly preferable to the others?