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 95% Simultaneous Confidence Intervals
Response Variable Response
All Pairwise Comparisons among Levels of Treatment
Treatment = 1 subtracted from:
Treatment Lower Center Upper -----+-----+-----+-----+-----+
2 4.606 11.699 18.792 (--------
*--------)
3 6.962 14.055 21.148 (--------*--------)
-----+-----+-----+-----+-----+
0.0 5.0 10.0 15.0 20.0
Treatment = 2 subtracted from:
Treatment Lower Center Upper -----+-----+-----+-----+-----+
3 -4.737 2.356 9.449 (-------* -------)
-----+-----+-----+-----+-----+
0.0 5.0 10.0 15.0 20.0
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