A researcher wishes to test H
0: μ
1 = μ
2 = μ
3 against H
1:at least one of the means is different. Based on the ANOVA table below, if the level of significance is α = 0.01, is it necessary to conduct Tukey's test? If the level of significance is α = 0.05, is it necessary to conduct Tukey's test? Explain.
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| Treatments | 2 | 86.22 | 43.11 | 13.15 0.0174 |
| Blocks | 2 0.889 0.444 0.136 0.8767 |
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Total 8 100.22
◦ no, H
0 not rejected; yes, H
0 rejected, at least one mean found to be different
◦ yes, H
0 rejected, at least one mean found to be different; yes, H
0 rejected, at least one mean found to be different
◦ yes, H
0 rejected, at least one mean found to be different ; no, H
0 not rejected
◦ no, H
0 not rejected; no, H
0 not rejected;
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