A Person Who Commutes to Work Is Choosing Between Two

Essay

A person who commutes to work is choosing between two different routes.He drives the first route 11 times and the second route 12 times and records the travel time of each trip.The results (in minutes)are shown in the table.Use a significance level of 0.01,does the Wilcoxon rank sum test provide evidence of a difference between the two routes? $$\begin{array} { ccc|ccc } & { \text { Route } 1 } &&& \text { Route 2 } \\\hline 35 & 42 & 41 & 41 & 46 & 38 \\33 & 48 & 40 & 49 & 53 & 36 \\39 & 50 & 46 & 51 & 57 & 53 \\& 36 & 40 & 45 & 50 & 55\end{array}$$