Two-sample t test vs. chi-squared test for homogeneity

[Leo Liu]

The purpose of t test is to find how close the two means of the two samples given are; whereas the result of $\chi^2$ homogeneity test indicates the likeness of the two distributions of two populations (or maybe samples--I am not sure). Can anyone please tell me the differences between them, when one should use which one, and whether one may conclude that chi-squared test is applicable to more situations than t test? Thanks.

 

[FactChecker]

I think that your own statement has described the difference between the t-test and the chi-squared test. One thing to add is that the Student's t-test is for a sample drawn from a normal distribution.