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.At the 10% level of significance, the null hypothesis

Question

Quizplus · Accepted Answer

To test the hypothesis that the population variances are equal, we can use the F-test. We compare the sample variances using the F-statistic, which follows an F-distribution with degrees of freedom equal to (n1 - 1) and (n2 - 1). At the 10% level of significance, we would compare the computed F-value to the critical F-value with degrees of freedom (23, 15) from the F-table. If the computed F-value is greater than the critical F-value, we reject the null hypothesis, and if it is less than or equal to the critical F-value, we fail to reject the null hypothesis. In this case, the computed F-value is (38/15.51) = 2.45. The critical F-value at the 10% level of significance with (23, 15) degrees of freedom is 2.28. Since the computed F-value is less than the critical F-value, we fail to reject the null hypothesis that the population variances are equal. Therefore, the correct choice is B.

​Consider the Following Sample Information from Population a and Population

Consider the Following Sample Information from Population a and Population