I am trying to determine whether or not we are 90% confident that the mean of a proposed population is at least 2 times that of the mean of the incumbant population based on samples from each population which is all the data I have right now. Here are the data.incumbantvalues = (7.3, 8.4, 8.4, 8.5, 8.7, 9.1, 9.8, 11.0, 11.1, 11.9)proposedvalues =  (17.3, 17.9, 19.2, 20.3, 20.5, 20.6, 21.1, 21.2, 21.3, 21.7)I have no idea if either population is or will be normal.The ratio of the sample means does exceed 2.0 but how does that translate to confidence that the proposed population mean will be at least twice that of the mean of the incumbant population with 90% confidence ?Can re-sampling (bootstrapping with replacement) help answer this question ?
Statistical comparison of 2 small data sets for 2X increase in the population mean
statistics;sampling