Drawing Conclusions from Samples

S.IC.5 Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.

You can compare samples to determine if the difference in mean or proportion for a large population, based on a given confidence level, is significant. If a population is large and there are at least 30 data points in a sample, then the means and proportions can be compared using a normal distribution.