# Question

Comstock Manufacturing uses a metal laminating process in its production of lightweight panels used in building commercial jets. The company is considering replacing its primary laminating adhesive with one of two possible new adhesives and will run tests of laminate strength (in pounds) for each of the two possible replacements. Sample results will be used in a hypothesis test testing H0: π Mean strength of Adhesive A laminated panels is no greater than mean strength of Adhesive B laminated panels. Ha: π Mean strength of Adhesive A laminated panels is greater than mean strength of Adhesive B laminated panels. Design the hypothesis test using a significance level of 1%. For the test, you want the probability of failing to reject the null hypothesis to be no more than 5% if the (population) average laminate strength for Adhesive A is actually 50 pounds greater than the (population) average laminate strength for Adhesive B. Report the sample size (number of panels) for your test and explain exactly how the test would work. (Assume that in a preliminary sample of laminated panels, the Adhesive A laminates had a standard deviation of 90 pounds and the Adhesive B laminates had a standard deviation of 85 pounds.)

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