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 want to test whether the variances of the two populations are equal, the test statistic will have a value of a. 1.25. b. .8. c. 1.5. d. 1.56.

Answer 1

Answer: b. .8

Explanation:

We find F-test statistic for testing whether two population have equal variances.

As per given , we have

In population 1 .

Samples size :
`n_1=60`

Sample variance :
`s^2_1=8`

In population 2 .

Samples size :
`n_2=40`

Sample variance :
`s^2_2=10`

If we want to test whether the variances of the two populations are equal, then the test statistic will have a value of
`F=(s_1^2)/(s_2^2)`

`=(8)/(10)=0.8`

Hence, the value of test-statistic = 0.8

Thus , the correct answer = b. .8