Consider the problem of testing H0: μ = 10 versus H1: μ > 10 with n =
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Suppose we wish to calculate the power of this test at the alternative μ1 = 11. Power = the probability of rejecting the null hypothesis when the alternative is true. Since our test rejects the null hypothesis when > 10.49, its power at μ1 = 11 is the probability
P[ > 10.49 when the true mean μ1 = 11]
If the population mean is 11, we know that X has the normal distribution with mean 11 and sd = Ï/n = 2//64 = .25. The standardized variable is
and we calculate
Following the above steps, calculate the power of this test at the alternative:
(a) μ1 = 10.5
(b) μ1 = 10.8
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Related Book For
Statistics Principles And Methods
ISBN: 9780470904114
7th Edition
Authors: Richard A. Johnson, Gouri K. Bhattacharyya
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