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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=400 and s22=800s _ { 1 } ^ { 2 } = 400 \text { and } s _ { 2 } ^ { 2 } = 800 , and the sample sizes are n1=25 and n2=25n _ { 1 } = 25 \text { and } n _ { 2 } = 25 . The calculated value of the test statistic will be F = 2.

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