Two random samples 4.49, 7.68, 5.97, 0.97, 6.88, 6.07, 3.08, 4.02, 3.83, 6.35, and 4.59, 3.39, 3.79, 6.89, 5.07, 7.41, 0.44, 2.47, 4.80, 7.23 were obtained independently from distributions with the same mean. Perform a permutation test to test the hypothesis that the variability in both populations is the same against the alternative that it is larger in the second population. As a test statistic use: (i) The difference of sample ranges. (ii) The ratio of sample variances. (iii) Compare both results.