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The travel time through two routes are being compared for their variability. The travel times can be assumed to be Normally distributed.
The travel time through two routes are being compared for their variability. The travel times can be assumed to be Normally distributed. Randomsamples of these travel times were measured, and along the first route, the sample size was 10, sample mean was 41 minutes, and sample standard deviation was 11 minutes. Along the second route, the sample size was 15, sample mean was 42 minutes and the sample standard deviation was 7 minutes.
We will test at 5% level of significance. We have set up the hypothesis as
H0: (sigma1)^2 = (sigma2)^2
H1: (sigma1)^2 is not equal to (sigma2)^2
What is the critical value for this test? (i.e. find F-sub-0.025 for the appropriate degrees of freedom)
(Provide two decimal places for the answer)