A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 50 of each brand. The tires are run until they wear out. The results are Brand A: Brand B 36300 km, 5000 km, = SA = = 38100 km, SB=6100 km. 2 =.... Test the claim that the Brand A performs better than Brand B, using an appropriate test for two sample means. (a) State the null and alternative hypotheses. (b) Find the test statistic (c) Find the rejection region. (d) State your conclusion based on the rejection region at a = 0.01 significance. (e) Compute the p-value and state your conclusion based on the p-value as highly significant, statistically significant, tending towards statistically significant or not statistically significant. Show all your steps.