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The data in the accompanying table show the weight of randomly selected packages shipped by delivery companies A, B, and C.
a. Perform a one-way ANOVA using a=0.05 to determine if there is a difference in the average package weights shipped by these three delivery companies.
b. If warranted, perform a multiple comparison test to determine which pairs are different using a = 0.05.
| A(1) | B (2) | C (3) |
|---|---|---|
| 5.5 | 1.6 | 2.7 |
| 19.9 | 8.1 | 24.3 |
| 16.5 | 9.0 | 17.8 |
| 12.1 | 2.9 | 15.9 |
| 22.3 | 2.1 | 8.0 |
| 6.1 | 18.5 | 5.6 |
| 6.7 | 0.1 | 4.4 |
| 6.9 | 21.7 | 1.3 |