Question

A sample of 60 items from population 1 has a sample variance of 8 while a sample of 40 items from population 2 has a sample variance of 10. If we test whether the variances of the two populations are equal, the test statistic will have a value of


a. 0.8

b. 1.56

c. 1.5

d. 1.25

Answer 1

Answer:  a. 0.8

Step-by-step explanation:

When we test whether the variances of the two populations are equal we use F- test.

Test statistic : $F=\dfrac{s_1^2}{s_2^2}$

, where $s_1^2$= sample variance from population 1.

$s_2^2$= sample variance from population 2.

As per given , we have

$s_1^2=8$ and  $s_2^2=10$

Then,  If we test whether the variances of the two populations are equal, the test statistic will be $F=\dfrac{8}{10}=0.8$

Hence, the test statistic will have a value of 0.8 .

Thus , the correct answer is  a. 0.8 .