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

Explanation:

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

Test statistic :
`F=(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=(8)/(10)=0.8`

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

Thus , the correct answer is a. 0.8 .