When I read Wikipedia - Student's t-test I can see it assumes that:
- The sample mean follows a Gaussian distribution.
- The sampled mean follows a chi square distribution.
Samples of Gaussian distribution clearly holds the assumptions.
Are there any other distributions which obeys it?
While t-test when the data population is not normally distributed touches the subject, it only shows a single case. The question is about distributions which obeys the assumption on small number of samples or better yet arbitrary number of samples.