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
A) .67.
B) .84.
C) 1.19.
D) 1.50.

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
A) ​.67. 
B) .84. 
C) ​1.19. 
D) ​1.50.

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