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Average is 15 minutes To monitor the billing rate, the manager is going to take a...

Average is 15 minutes

To monitor the billing rate, the manager is going to take a random sample of 20 surveys each shift and calculate the average survey time in the sample. They make a decision rule that if ?¯≥16.5x¯≥16.5, they will charge the premium rate for that shift's work. Assume the population standard deviation is 5 minutes.

3. What is the probability that the company will make a Type I error using this decision rule? Round your answer to four decimal places.

4. Using this decision rule, what is the power of the test if the actual mean time to complete the survey is 16.75 minutes? That is, what is the probability they will reject ?0H0 when the actual average time is 16.75 minutes? Round your answer to four decimal places.

Math   Statistics-And-Probability   
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Answer #1

Probability of type I error =0.0898

Power of the test=0.5886

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