Question

Exhibit 11-6

Sample A Sample B

s2 40 96

n 16 26

We want to test the hypothesis that the population variances are equal. Refer to Exhibit 11-6.

The p-value is between Question 21 options:

0.025 and 0.05

0.05 and 0.10

0.10 and 0.20

0.00 and 0.01

Answer 1

As we are testing for whether the population variances are equal, we need to use F test here. The F test statistic is computed here as:

Note that the greater variance is always taken as the numerator. Now for n₁ - 1 = 25 and n₂ - 1 = 15 degrees of freedom, we get the p-value from the F distribution tables as:

Therefore the p-value here ranges from 0.025 to 0.05 as it is equal to 0.04