If I had a scientific assay which when run on a control population produces readouts which are normally distributed about the mean. A treatment which changes this mean does not change the variance of the population, just the mean. That is to say any treatment simply changes the population mean but not the shape of the bell curve.
I can calculate the SD ect for the control population and would like to predict the smallest change in mean which would be significant at p=0.05 for a given population size. What power calculation can be used to predict this?
E.g. If I had 100 samples in each group, control mean of 10 with an SD of 1 what value of the second "experimental" population would give p<0.05 when the two populations are compared with a t-test?