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Let X be from a normal distribution with mean u and varince 4. We would like...

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Statistics

Let X be from a normal distribution with mean u and varince 4.We would like to test the null hypothesis H0: u=10 against thealternative hypothesis H1: u>10. Let the rejection region bedefined by C={(x1,x2,...,x9): X.bar>=11.5}, where X.bar is thesample mean of a random sample of size 9 from thisdistribution.

(a) what's the significance level of this test?

(b) Define the power function for this test.

(c) what are the power when u=11, 11.5 and 12?

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