The SAS command file MouseDietExample85vs50.sas generates histograms, the randomization distribution of Y 1 Y 2 (500,000 replications are used) assuming = 0, and the endpoints of a 95% confidence interval for 1 2. You should verify that I have copied the numbers provided below correctly from the SAS output. 1 3. According to this program the percentile rank of Y 1 Y 2 = 9.606 is P(Y 1 Y 2 9.606) = .999998 (propGTE = 2 106 ). In other words for this randomization distribution, one of the 500,000 replications resulted in an observed difference as large or larger than the observed difference 9.606.

-Explain, in terms understandable by a reader who has not studied randomization distributions, exactly what this means in the context of this example and explain how this provides strong evidence in favor of the research hypothesis.