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, the null hypothesis is rejected and the following output represents the results of Tukey's test. What should the researcher conclude?
Tukey Simultaneous Tests
Response Variable Response
All Pairwise Comparisons among Levels of Treatment
Treatment = 1 subtracted from:
Treatment Difference SE of T- Value Adjusted
of Means Difference P-Value
2 7.1887 1.982 3.627 0.0165
3 0.7488 1.982 0.3778 0.9251
Treatment = 2 subtracted from:
Treatment Difference SE of T- Value Adjusted
of Means Difference P-Value
3 -6.4393 1.982 -3.2489 0.0282
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