Problem#3 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 01 = 02 = 1.0 psi. From a random sample of size n1=30 and n2=35, 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. a) Based on the sample information, should it use plastic 1? Use a = 0.05 in reaching a decision. b) Calculate a 95% confidence interval on the difference in means. What is your conclusion on the hypothesis based on this CI?

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