Two companies manufacture a rubber material intended for use in an automotive application. the part will be subjected to abrasive wear in the field application, so you decide to compare the material produced by each company in a test. twenty-five 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 ¯x1 = 20 milligrams/1000 cycles and s1 = 2 milligrams/1000 cycles, and for company 2, you obtain ¯x2 = 15 milligrams/1000 cycles and s2 = 8 milligrams/1000 cycles. you will assume σ 2 1 6= σ 2 2 for this problem, so there will be separate estimates for σ2=1 and σ2=2. do the data support the claim that the two companies produce material with different mean wear? use α = 0.05, and assume that each population is normally distributed but that their variances are not equal. what is the p-value for this test?