1) Billy’s Limos offers limousine service from the city hall in Richmond, VA, to Metro Airport in Washington DC. Billy Williams, president of the company, is considering two routes. One is via U.S. 25 and the other via I-75. He wants to study the time it takes to drive to the airport using each route and then compare the results. He collected the following sample data, which is reported in minutes.
A B
U.s. 25 Interstate 75
52 59
67 60
56 61
45 51
70 56
54 63
64 57
65
Using the .05 significance level, is there a difference in the variation in the driving times for the two routes?
2) A six-sided die is rolled 30 times and the numbers 1 through 6 appear as shown in the following frequency distribution. At the 0.10 significance level, can we conclude that the die is fair?
Outcome Frequency Outcome Frequency
1 3 4 3
2 6 5 9
3 2 6 7


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