Question: Consider the hypothesis test:

H 0 :800

H a :800.

You took a sample of 40 subjects and found that the sample mean was 785, with a sample standard deviation of 95. You are testing at the significance level 0.05. (10 pts each)

1. Find the border value between the rejection region and the non-rejection region.
2. Using this border value, what does your sample mean tell you? Is the null hypothesis rejected or not?
3. Find the value of when the true mean is 780 instead of 800. What is the power of the test in this circumstance?
4. Find the value of when the true mean is 750 instead of 800. What is the power of the test in this circumstance?

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