When Performing a Tukey Multiple Comparison, the Population Means Are $\mu _ { \mathrm { i } } \text { and } \mu _ { \mathrm { j } }$

Essay

When performing a Tukey multiple comparison, the population means are compared pairwise. How do you decide whether to declare two population means $\mu _ { \mathrm { i } } \text { and } \mu _ { \mathrm { j } }$ different? Why does this make sense?