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

= 2n + 6

Step-by-step explanation:

The nth term of an arithmetic sequence is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = 2 , then

= 8 + 2(n - 1) = 8 + 2n - 2 = 2n + 6