When the necessary conditions are met, a two-tail test is being conducted at $\alpha$ = 0.05 to test $H _ { 0 } : \sigma _ { 1 } ^ { 2 } / \sigma _ { 2 } ^ { 2 } = 1$ . The two sample variances are $s _ { 1 } ^ { 2 } = 400$ and $s _ { 2 } ^ { 2 } = 400$ , and the sample sizes are n₁ = 25 and n₂ = 25. The calculated value of the test statistic will be F = 2.

Question

Quizplus · Accepted Answer

The test statistic F is calculated as the ratio of the two sample variances, which is $ F = \frac{s_1^2}{s_2^2} = \frac{400}{400} = 1 $, not 2.

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

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