Reference no: EM132901508

Suppose a student has two possible routes for their commute to school. Because they never want to be late for? class, they want to choose the route that provides a more consistent commute time. Being a hopeless? statistician, the student meticulously drove the first route 21 times and the second route 24 times and calculated the standard deviations for each. The following table summarizes sample data collected from two different routes. C
Route 1 Route 2
Sample
standard deviation 6.5 minutes 10.5 minutes
Sample size 21 24
a. Using α=0.05?, determine if Route 1 provides a more consistent commute time than Route 2.
Let σ21 represent the larger sample variance and let σ22 represent the smaller sample variance. The null and alternative hypotheses.
H0?: σ21≤σ22
H1?: σ21>σ22
Calculate the appropriate test statistic.
F=?
?(Round to two decimal places as? needed.)