# The paired comparisons option in MINITAB generated the output provided here. What do these results tell you about the differences in the population me

The paired comparisons option in MINITAB generated the output provided here. What do these results tell you about the differences in the population means? Does this confirm your conclusion of the analysis-of-variance?
MINITAB output
Tukey's 95% Simultaneous Confidence Intervals All Pairwise Comparisons among Levels of Method Individual confidence level=97.94%
Method = 1 subtracted from:
Method 2: Lower -0.0001777, Center -0.0008400, Upper -0.0002423
Method 3: Lower -0.0001777, Center 0.0004200, Upper 0.0010177
Method = 2 subtracted from:
Method 3: Lower 0.0006623, Center 0.0012600, Upper 0.0018577

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Nathaniel Kramer
Method 2 has a significantly different mean from the other two methods, while there is no significant difference between the mean of method 1 and method 3.
$$\displaystyle\overline{{{x}_{{{3}}}}}\overline{{{x}_{{{1}}}}}\overline{{{x}_{{{2}}}}}$$