An employee of a small company in Minneapolis bikes to work during the summer months. He can travel at work using one of three routes and wonders where the average commute time (in minutes) differ between the three routes. He obtains the following data after traveling each route for on week.
a. Determine at the 1% significance level whether the average commute time differ between the three routes.
b. If difference exist, use Tudey's HSD test at the 1% signification level to determine which routes' average times differ.