# Test hypothses in small populations

I have 2 independent populations, each with N=50 people. I took n=20 samples from each population. For each person, I asked a question with an answer from 1 to 5. I want to know if there is a significant difference between the distributions of the answers of the 2 populations (e.g., mean). I can assume that the variance is the same in the 2 populations.

Which statistical test fits this scenario, and how do I use it in SPSS?

I will assume your variables are likert and ordinal from your wording in your question. Mann–Whitney U test is a common statistical test for your scenario.