A Person Who Commutes to Work Is Choosing Between Two

Essay

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 time of each trip. The results (in minutes)are shown below. Use a significance level of 0.01 to test the claim that the times for both routes have the same distribution. $$\begin{array} { c c c | c c c } & { \text { Route 1 } } &&& { \text { Route } } 2 \\\hline 35 & 42 & 4 & 41 & 46 & 38 \\33 & 48 & 40 & 49 & 53 & 36 \\39 & 50 & 46 & 51 & 57 & 53 \\& 36 & 40 & 45 & 50 & 55\end{array}$$