Suppose an outboard motor factory is known to have an output of 1000 motors per day, with a standard deviation of 50 motors per day. The company has hired a new foreman, and want to see whether his presence increases productivity during his first week on the job. Formulate this as a hypothesis test, state any assumptions you make about the distributions of the data. What is the critical region for a level a = .05 test? What is the power of the test if the foreman actually increases productivity by 30 motors per day?

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