A manufacturer has developed a new fishing line, which the

Chapter , Problem 6.14

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A manufacturer has developed a new fishing line, which the company claims has a mean breaking strength of 15 kilograms with a standard deviation of 0.5 kilogram. To test the hypothesis that = 15 kilograms against the alternative that < 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 H0 is true. (b) Evaluate for the alternatives = 14.8 and = 14.9 kilograms.

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