Consider the following sample information from Population A and Population B.
We want to test the hypothesis that the population variances are equal. The test statistic for this problem equals

Question

​Consider the following sample information from Population A and Population B. ​  ​​
We want to test the hypothesis that the population variances are equal. The test statistic for this problem equals

Quizplus · Accepted Answer

To test the hypothesis that the population variances are equal, we can use the F-test. The test statistic for this problem is calculated as the ratio of the sample variances from each population. In this case, the F-statistic is calculated as:

F = s1^2 / s2^2

where s1^2 is the sample variance from Population A and s2^2 is the sample variance from Population B. Substituting the given values, we get:

F = 6.25 / 5.25 = 1.19

This value corresponds to the F-distribution with (n1-1) and (n2-1) degrees of freedom, where n1 and n2 are the sample sizes from Population A and B, respectively. We can use this F-value to determine the p-value of the test and make a decision about whether to reject or fail to reject the null hypothesis that the population variances are equal.

​Consider the Following Sample Information from Population a and Population

Consider the Following Sample Information from Population a and Population