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Suppose an ANOVA meets the conditions of the MRM and

Suppose an ANOVA meets the conditions of the MRM and the F-test rejects the overall null hypothesis that five groups have equal means. If the Bonferroni confidence interval (adjusted for pairwise comparisons) for μ1 - μ2 does not include zero, does the Tukey confidence interval for μ1 - μ2 include zero?

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