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.