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

We need to calculate the critical F-value to compare with the calculated F-value. The critical F-value with a two-tail test at $\alpha$ = 0.05 and degrees of freedom of $df_1 = 24$ and $df_2 = 24$ is 2.064. Since the calculated F-value of 2 is less than the critical F-value of 2.064, we fail to reject the null hypothesis. Therefore, the statement is false.

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

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