. (20 points)Engineers at a tire manufacturing corporation wish to test a new tire material for incresed durability. To test the tires under realistic road conditions, new front tires are mounted on each of 11 company cars, one tire made with a production material and the other with the experimental material. After a fixed period, the 11 pairs were measured for wear. The amount of wear for each tire(in mm) is shown in the table:

Test, at the 1% level of significance, the hypothesis that the mean wear with the experimental material is less than that for the production material.(Assume the population follow a normal distribution) (a)Set up the null and alternative hypothesis. (b)Report the value of test statistic.(Assume the population follow a normal distribution with equal variance) (c)Find the P-value and make your conclusion at