Following is a group of 95% simultaneous Bonferroni confidence intervals. Which mean pairs (if any) appear to differ and how?
| Mean pair | Confidence interval |
| \(\style{font-family:Times New Roman;}{\mu_1-\mu_2}\) | (–7.817, 16.845) |
| \(\style{font-family:Times New Roman;}{\mu_1-\mu_3}\) | (–15.118, 9.698) |
| \(\style{font-family:Times New Roman;}{\mu_1-\mu_4}\) | (–13.868, 10.948) |
| \(\style{font-family:Times New Roman;}{\mu_2-\mu_3}\) | (–18.720, 6.836) |
| \(\style{font-family:Times New Roman;}{\mu_2-\mu_4}\) | (–17.470, 7.686) |
| \(\style{font-family:Times New Roman;}{\mu_3-\mu_4}\) | (–10.479, 12.980) |
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\(\style{font-family:Times New Roman;}{\mu_2>\mu_1\;}\)and\(\style{font-family:Times New Roman;}{\;\mu_4>\mu_3}\)
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\(\style{font-family:Times New Roman;}{\mu_1>\mu_2\;}\)and\(\style{font-family:Times New Roman;}{\;\mu_2>\mu_3\;}\)and\(\style{font-family:Times New Roman;}{\;\mu_4>\mu_1}\)
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\(\style{font-family:Times New Roman;}{\mu_1>\mu_3\;}\)and\(\style{font-family:Times New Roman;}{\;\mu_1>\mu_4\;}\)and\(\style{font-family:Times New Roman;}{\;\mu_2>\mu_4}\)
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None of the mean pairs appears to differ.
Over confidence
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