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.

Respuesta :

Answer: b. .8

Step-by-step explanation:

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

As per given , we have

In population 1 .

Samples size : [tex]n_1=60[/tex]

Sample variance : [tex]s^2_1=8[/tex]

In population 2 .

Samples size : [tex]n_2=40[/tex]

Sample variance : [tex]s^2_2=10[/tex]

If we want to test whether the variances of the two populations are equal, then the test statistic will have a value of [tex]F=\dfrac{s_1^2}{s_2^2}[/tex]

[tex]=\dfrac{8}{10}=0.8[/tex]

Hence, the value of test-statistic = 0.8

Thus , the correct answer = b. .8

Q&A Education