Complete a full Bonferroni follow-up for an ANOVA with k = 3 groups, each n = 10, N = 30, MSE = 9. Group means: A = 10, B = 12, C = 15. Perform the three pairwise comparisons (A vs B, B vs C, A vs C) by computing t-statistics, two-tailed p-values (use df = 27), applying Bonferroni correction (m = 3), and state which comparisons are significant at α = 0.05.

None are significant after adjustment because Bonferroni is so conservative that it always returns no significant results regardless of t-values.

A vs B and B vs C are significant after correction because their unadjusted p-values were below 0.05 even before adjustment, so they remain significant.

All three comparisons are significant after adjustment because the largest t in magnitude guarantees all pairwise differences are different with Bonferroni.

Only A vs C is significant after Bonferroni (adjusted p ≈ 0.0024); A vs B and B vs C are not significant.