An employee of a small software company in Minneapolis bikes to work during the summer months. He can travel to work using one of three routes and wonders whether the average commute times (in minutes) differ between the three routes. He obtains the following data after traveling each route for one week.

The following one-way ANOVA results were obtained for  5 0.01:

Assuming that commute times are normally distributed, determine at the 1% significance level whether average commute times differ between the threeroutes.

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Route 1 Route 2 Route 3 29 27 25 30 32 27 28 24 30 30 29 32 29 26 ANOVA Source of Variation Between Groups 54.532 Within Groups 40.40 12 3.37 ss dfMSF p-value Fcrit 27.27 8.099 0.0059 6.93 Total 94.93 14