for a user study I want to compare some tasks. Each tasks has 2 conditions on a intervall scale. From each task I want to test the the conditions with:
- a t-test if both samples are on a normal distributions
- a wilcoxon, if both samples are not on a normal distribution
but what test I can choose, if one sample of a task is on normal distribution and the other is not?
I've read something about, that I can run samples from a normal distribution with a wilcoxon test, too. Are there some benefit of the t-test for normal distribution samples? Why should I not test all my samples with the wilcoxon?