Two companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasive wear in the eld application, so you decide to compare the material produced by each company in a test. Twenty-four samples of material from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, the sample mean and standard deviation of wear are it] = 21 milligrams/1000 cycles and S1 = 2.5 milligramsf1000 cycles, and for company 2, you obtain 12 = 16 milligrams/1000 cycles and $2 = 7.5 milligrams/1000 cycles. (a) Do data support the claim that the two companies produce material with different mean wear? Use or = 0.05 and assume that each population is normally distributed but that their variances are unequal. What is the P-value for this test? (b) Do data support a claim that the material from company 1 has higher mean wear that the material from company 2? Use the same assumptions as in part (a). (c) Construct a condence interval that will address the questions in parts (a) and (b)