Statement of a problem № m41110


Consider again the conditions of Exercise 7, but suppose now that it is desired to test the following hypotheses: H0: σ21 = σ22, H1: σ21 = σ22. Suppose also that the statistic V is defined by Eq. (9.7.4), and it is desired to reject H0 if either V ≤ c1 or V ≥ c2, where the constants c1 and c2 are chosen so that when H0 is true, Pr(V ≤ c1) = Pr(V ≥ c2) = 0.025. Determine the values of c1 and c2 when m = 16 and n = 10, as in Exercise 7.

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