Two types of plastic are suitable for an electronics component manufacturer to use. the breaking strength of this plastic is important. it is known that σ1 =σ2 = 1.0 psi. from a random sample of size n1 =10 and n2 =12, you obtain ¯x1 =162.5 and ¯x2 = 155.0. the company will not adopt plastic 1 unless its mean breaking strength exceeds that of plastic 2 by at least 10 psi (inclusive). (a) based on the sample information, should it use plastic 1? test this using α=0.05. write formal null and alternate hypotheses statements for the test. (b) find the p-value for this test.