A car manufacturer is going to equip its new product, model S, with a new tire. A tire company claims that the mean tread wear for its product is 53,000 kilometers. Before purchasing, the car manufacture tests a random sample of 10 tires provided by the tire company. The test result show that the sample has a mean tread wear of 54,100 kilometers, and a stand deviation of 5,801 kilometers.

(a) Choose an appropriate distribution for the test and justify your choice (Chi-squared Distribution, t-Distribution, or F-Distribution) (5 points)

(b) Compute the corresponding statistic of your chosen distribution (2, , or ) (5 points) (c) Does the test result support the claim made by the tire company? (10 points)