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2. (15%) A study is conducted to determine if the wear rate is different for two brands of radial automotive tires. One tire of each brand is mounted at random to the rear wheels of eight cars. The tests continue until the tires wear out and at that point the mileage of the car is recorded. The following table shows this data. Consider the following for 95% confidence. (Note: you may use Minitab (or other software) to check your answers, but you must supply all the calculations in your submission.) a. Determine differences, the means and the sample standard deviations, and enter these values in the table. b. Identify the type of t-test that should be used; provide the degrees of freedom, t-values from the table and the data. c. State your conclusion regarding the claim that the two brands of tire have the same wear rate. (i.e., a statement that you may put in a technical report) Difference Car 1 2 3 4 5 Brand X 36,925 45,300 36,240 32,100 37,210 48,360 38,200 33,500 Brand Y 34,318 42,280 35,500 31,950 38,015 47,800 37,810 33,215 6 7 8 Means = SSD =