Question: Suppose I have two different possible routes for my commute to school. Because I never want to be late for class, I want to choose

Suppose I have two different possible routes for my commute to school. Because I never want to be late for class, I want to choose the route that provides a more consistent commute time. Being a hopeless statistician, I meticulously drove the first route 21 times and the ­second route 24 times and calculated the standard ­deviations for each. The data are as follows:

Sample standard deviation Sample size Route 1 6.5 minutes 21 Route 2

a. Using α = 0.05, determine if Route 1 provides a more consistent commute time than Route 2.

b. Verify your results using PHStat.

c. Interpret the p value obtained from the software.

Sample standard deviation Sample size Route 1 6.5 minutes 21 Route 2 10.4 minutes 24

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