Question # Revisit A manufacturer has produced a new product, which he claims has a mean lifetime of 25 with a standard deviation of 3.5. To test the hypothesis that, u = 25 against the alternative that p> 25 kilograms, a random sample of 49 such products will be tested. The critical region is defined to be > 26.5. a. Find the probability of committing a type I error. b. Evaluate probability of type II error for the alternatives u = 26 and u = c. Find the power of the test for each case in part (b) and conclude which is better in the 26.6. part (b).

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