For the test at level 0.05 of the hypotheses given by (4.6.1) with 0 = 30,000

For the test at level 0.05 of the hypotheses given by (4.6.1) with μ₀ = 30,000 and n = 20, obtain the power function, (use σ = 5000). Evaluate the power function for the following values: μ = 25,000; 27,500; 30,000; 32,500; and 35,000. Then sketch this power function and see if it agrees with Figure 4.6.1.

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x(μ) 0.8 0.4 + 0.05 26000 30000 Test of size a = 0.05 Test of size α = 0.01 34000 Figure 4.6.1: Power curves for the tests of the hypotheses (4.6.7). μ