I have a couple things to add together- two different pools of material, and I need to know the total material. Because of various things related to the sampling, I would like to bootstrap the sampling data from each pool. So I generate a list of 100 masses for one pool, and 50 masses for the second pool. Plus, I get the confidence intervals built off the bootstrap. I can just add the mean, to get the mean total mass, but what about the CIs?
I'm still learning bootstrapping, obviously, so sorry if it's a simple question. At first, I figured I could combine them similar to SD's, like sqrt(x^2 + y^2), but that doesn't work. Does simple addition work? Or do I need to build the CI's from scratch using the standard errors from each pool?