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When the Necessary Conditions Are Met, a Two-Tail Test Is α\alpha

Question 57

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When the necessary conditions are met, a two-tail test is being conducted at α\alpha = 0.10 to test H0: σ12/σ22\sigma _ { 1 } ^ { 2 } / \sigma _ { 2 } ^ { 2 } = 1. The two sample variances are s12s _ { 1 } ^ { 2 } = 736 and s22s _ { 2 } ^ { 2 } = 1024, and the sample sizes are n1 = 16 and n2 = 25. The rejection region is F > 2.11 or F < 0.4367.

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