[See Steps] The stopping distance at 25 mph was measured for each of three brands of automobile tires. There were three replications for each brand Brand
Question: The stopping distance at 25 mph was measured for each of three brands of automobile tires. There were three replications for each brand
- Brand S1 had a standard construction
- Brand B1 had a Bias construction
- Brand R1 had a Radial construction
- Brand S1 is the most widely used brand of tire
| Obs. | S1 | B1 | R1 |
| 1 | 22 | 26 | 16 |
| 2 | 20 | 22 | 20 |
| 3 | 25 | 27 | 14 |
| Mean | 22.333 | 25 | 16.667 |
- What type of design is this? Write down the model with all the assumptions.
- Complete the ANOVA table.
- Find one set of orthogonal contrasts.
- What is the least difference two treatment sample means should have so that they can be declared to be significantly different from each other, if you use Bonferroni’s multiple comparison procedure. (No need to compute the exact values)
- Would you prefer to perform a Tukey's HSD test or a Dunnett's test in this case? Explain why.
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