I am able to draw any number of samples from two different populations. I would like to test the hypothesis that the population mean of the first population is smaller than the population mean of the second population. The null hypothesis is that the first mean is greater than or equal to the other one.
I have no other information about the populations, other than that they are probably normally distributed, but the samples can be assumed independent.
How can I test this hypothesis to a given confidence level?
(this might be a textbook question but I don't have any statistics textbooks to refer to - feel free to tag as homework if you feel it's appropriate, although it's more of a hobby thing)