A manufacturer has developed a new fishing line, which the company claims have a mean breaking strength of 15 kilograms with a standard deviation of 0.5 kilogram. To test the hypothesis that μ = 15 kilograms against the alternative that μ < 15 kilograms, a random sample of 50 lines will be tested. The critical region is defined to be x < 14.9 a. Find the probability of committing a type I error when H, is true. b. Evaluate ß for the alternatives μ = 14.8 and μ = 14.9 kilograms.

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