A person who commutes to work is choosing between two different routes. He tries the

first route 11 times and the second route 12 times and records the commute time of each

trip. The results (in minutes) are shown below. Use a significance level of 0.01 and a

suitable formulation of the Wilcoxon rank-sum test to test the claim that the population

median commute time from Route 2 is longer than the population median commute time

from Route 1. State the null and alternative hypotheses for this test. Show all work in the

computation of the test statistic. State the conclusion of this investigation.

Route 1

35 42 41

33 48 40

39 50 46

36 40

Route 2

41 46 38

49 53 36

51 57 53

45 50 55