The power curves of Figures 10.5 and 10.6 can be used

Chapter 11, Problem 15

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The power curves of Figures 10.5 and 10.6 can be used toobtain b 5 P(type II error) for the F test in two-factorANOVA. For fixed values of a1, a2,, aI, the quantityf2 5 sJ/Idoai2ys2 is computed. Then the figure correspondingto n1 5 I 2 1 is entered on the horizontal axis atthe value f, the power is read on the vertical axis from thecurve labeled n2 5 sI 2 1dsJ 2 1d, and b 5 1 2 power.a. For the corrosion experiment described in Exercise 2,find b when a1 5 4, a2 5 0, a3 5 a4 5 22, ands 5 4. Repeat for a1 5 6, a2 5 0, a3 5 a4 5 23,and s 5 4.b. By symmetry, what is b for the test of H0B versus HaBin Example 11.1 when b1 5 .3, b2 5 b3 5 b4 5 2.1,and s 5 .3?

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