Comparing repair times in hours. Verizon uses permutation testing for hundreds of comparisons, such as between different time periods, between different locations, and so on. Here is a sample from another Verizon data set, containing repair times in hours for Verizon (ILEC) and CLEC customers.
(a) Choose and make data displays. Describe the shapes of the samples and how they differ.
(b) Perform a t test to compare the population mean repair times. Give hypotheses, the test statistic, and the P-value.
(c) Perform a permutation test for the same hypotheses using the pooled-variance t statistic. Why do the two P-values differ?
(d) What does the permutation test P-value tell you?