I need some advice on choosing a proper statistical test for project I will be starting soon. My expectation is that the data will consist of two distinct datasets with similar (normal?) distributions, but different means and standard deviations. Each dataset will also have <100 samples. I need a way to test/show that they are different, so my question is, what is(are) the best test(s) for a problem like this? The only one I came across that seemed reasonable is a 2-sided K-S test, though I am not certain that will tell me what I want. I expect my data to look similar to the plot below, only with far fewer samples. Thank you in advance for any guidance you provide!