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           3500

Sample Size                                                                              20              30

Using an alpha level 0f 0.01 determine if there is a difference in the varibility of the two tire brands.