A team of researchers wants to compare the yields (in pounds) of five different varieties (A, B, C, D, E) of 4-year-old orange trees in one orchard. They obtain a random sample of seven trees of each variety from the orchard. The yields for these trees are presented here.
A | B | C | D | E |
13 | 27 | 40 | 17 | 36 |
19 | 31 | 44 | 28 | 32 |
39 | 36 | 41 | 41 | 34 |
38 | 29 | 37 | 45 | 29 |
22 | 45 | 36 | 15 | 25 |
25 | 32 | 38 | 13 | 31 |
10 | 44 | 35 | 20 | 30 |
a. Using tests and plots of the data, determine whether the conditions for using the AOV are satisfied.
b. Conduct an AOV test of the null hypothesis that the five varieties have the same mean yield. Use α = .01.
c. Use the Kruskal-Wallis test to test the null hypothesis that the five varieties have the same yield distributions. Use Use α = .01.
d. Are the conclusion you reached in parts (b) and (c) consistent?
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