Asample 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.

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 :

Sample variance :

In population 2 .

Samples size :

Sample variance :

If we want to test whether the variances of the two populations are equal, then the test statistic will have a value of

Hence, the value of test-statistic = 0.8

Thus , the correct answer = b. .8

step-by-step explanation:

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)