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In particular, assume standard deviation= 6. xbar=147.4 1. Suppose that you are asked to test H0...

In particular, assume standard deviation= 6.

xbar=147.4
1. Suppose that you are asked to test H0 : u = 160.0 vs. HA : u is not = 160:0 at the 5% significance level. If the true is actually 1 = 163.2 and you take an iid sample of size 25, what is the power of your z-test?
2. state the probabilities of type I error and type II error for the above scenario.
3. If your sample size is increased to n = 42, what will be the power when the true is
still u1 = 163.2?
4. If we perform the above test (same as part c) at the significance level = 0.01 level, what will be the
power of the test? (Hint: replace z0.025 = 1.96 with z0.005 = 2.58.)

Math   Statistics-And-Probability   
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