Let's say I have a non-normal distribution A and another non-normal distribution B, the mean and std deviations of each distribution are different.
I then randomly sample 100 values from A, SampleA, and 50 values from B, SampleB.
Given only SampleA and SampleB, what is the equation to determine the probability that the mean of A is less than the mean of B.
I'm not a statistician, if this problem is underspecified leave a comment and I'll update it with any relevant information.
I've looked into t-tests, but things I've read have made it sound like it is inapplicable to non-normal distributions. I'm also unsure why I care about things like the null hypothesis and 95% confidence intervals when I'm only concerned with the specific probability that one distribution has a lower mean than the other.