two-sided Definition and 1 Threads

From what I've seen of online comments on math fora, a chi-square test is two-sided. I interpreted that as to mean that if our ##H_0: \mu_1 = \mu_2##, a chi-square test only allows to infer ##\mu_1 \ne \mu_2##. Correct? If yes, can we use the fact that the computed ##\mu_1 < \mu_2## to make the...