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

Question

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

Quizplus · Accepted Answer

The rejection region for a two-tail test is always in the form of F > F_critical or F < 1/F_critical.

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

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