Suppose the Goodyear Tire Company developed two new brands of tires and would like to compare the variability of the tire life of the two. Both brands were driven under normal conditions, and random samples of the tires were collected. The following table shows the sample sizes and the standard deviations, in miles, calculated for each sample:
Brand 1 Brand 2
Sample standard deviation 5,300 3400
Sample Size 40 30
Using an alpha level of 0.01 determine if there is a larger variance in Brand 1 over Brand 2.