Consider the following sample information from Population A and Population B.

Sample A
Sample B
N
24
16
S²
32
38

We want to test the hypothesis that the population variances are equal.The test statistic for this problem equals

Question

Quizplus · Accepted Answer

The test statistic for testing the equality of variances for independent samples is calculated as: F = (S² / df1) / (SS2U2P22S2S2P0 / df2) where, SS = Sum of Squares U = Sum of Scores P = Population S = Sample df = Degrees of Freedom For Population A and Population B, we have: df1 = n1 - 1 = 24 - 1 = 23 df2 = n2 - 1 = 16 - 1 = 15 S² = 32 SS2U2P22S2S2P0 = 38 Plugging these values in the formula, we get: F = (32 / 23) / (38 / 15) = 1.187 Using a standard F-table with df1 = 23 and df2 = 15, at a significance level of 0.05, the critical values for F are 1.988 and 0.527. Since our calculated F of 1.187 is between these two values, we fail to reject the null hypothesis of equal variances. Therefore, the test statistic for this problem equals 1.19, which corresponds to choice C.

​Consider the Following Sample Information from Population a and Population

Consider the Following Sample Information from Population a and Population