An employee of a small software company in Minneapolis bikes

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.

An employee of a small software company in Minneapolis bikes

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

An employee of a small software company in Minneapolis bikes

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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