THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A manager is considering the purchase of new production equipment to improve the output of the plant.Suppose the equipment from two suppliers is extensively tested in multiple production runs.A total of 20 runs are recorded on Supplier A's equipment and another 15 runs are reported from Supplier B's equipment.The volume produced is recorded for each of the 35 runs.The results are summarized in the table below.

-The value of the test statistic for determining if there is a difference in the population variances for Supplier A and B is equal to:
A)0.44
B)1.5
C)2.25
D)0.67

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A manager is considering the purchase of new production equipment to improve the output of the plant.Suppose the equipment from two suppliers is extensively tested in multiple production runs.A total of 20 runs are recorded on Supplier A's equipment and another 15 runs are reported from Supplier B's equipment.The volume produced is recorded for each of the 35 runs.The results are summarized in the table below.
 
-The value of the test statistic for determining if there is a difference in the population variances for Supplier A and B is equal to:
A)0.44 
B)1.5 
C)2.25 
D)0.67

Quizplus · Accepted Answer

The test statistic for determining if there is a difference in the population variances for Supplier A and B is equal to the ratio of the sample variances. In this case, the sample variance for Supplier A is 0.25 and the sample variance for Supplier B is 0.16. Therefore, the test statistic is 0.25 / 0.16 = 1.5625, which is closest to choice A, 0.44.