Question

In: Statistics and Probability

To test Ho: ? = 400 versus H1: ? > 400, a simple random sample of...

To test Ho: ? = 400 versus H1: ? > 400, a simple random sample of n = 100 is obtained. Assume the population standard deviation is 80. If the researcher decides to test this hypothesis at the ?? = .05 level of significance, compute the probability of making a Type II Error if the true population mean is 420. What is the power of the test?

Solutions

Expert Solution

To test against

The rejection region is : or

P(Type II Error)

Power of the test = 1 - P(Type II Error) = 1 - 0.196234 = 0.803766


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