A one-way analysis of variance experiment produced the following ANOVA table.

a. Conduct an ANOVA test at the 5% significance level to determine if some population means differ.
b. Calculate 95% confidence interval estimates for μ1 − μ2, μ1 − μ3, and μ2 − μ3 with Tukey's HSD approach.
c. Given your response to part (b), which means significantly differ?

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SUMMARY Groups Column 1 Column 2 Column 3 Source of Variation Between 9.12 24.56 12.84 0.0006 3.68 Groups Within Groups Count 6 6 6 Average 0.57 1308 2.33 Ss df MS F p-value F crit 5.33 150.36 Total 14.46 17