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

Question

Quizplus · Accepted Answer

The test statistic for comparing two variances is calculated as $ F = \frac{s_1^2}{s_2^2} = \frac{400}{800} = 0.5 $, 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 $\alpha$