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

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When the necessary conditions are met, a two-tail test is being conducted at α\alpha = 0.05 to test H0:σ12/σ22=1H _ { 0 } : \sigma _ { 1 } ^ { 2 } / \sigma _ { 2 } ^ { 2 } = 1 . The two sample variances are s12=500 and s22=900s _ { 1 } ^ { 2 } = 500 \text { and } s _ { 2 } ^ { 2 } = 900 , and the sample sizes are n1=21 and n2=31n _ { 1 } = 21 \text { and } n _ { 2 } = 31 . The rejection region is F > 2.20 or F < 0.4255.


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