5 a manufacturer has developed a new fishing line which the company cl
5. 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 μ = 15 against the alternative that μ< 15, a random sample of 40 lines will
be tested. The critical region is defined to be < 14.85.
(a) Find the probability of committing a type I error.
(b) Evaluate B for the alternative = 14.8.
(c) Evaluate B when the alternative is the critical value.
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