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.
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(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?