Question

Use Tables V, VI, VII, and VIII in Appendix D to find each

of the following F-values:

a. F_0.05,v_1=4,v₂₌₄

b. F_0.01,v_1=4,v₂₌₄

c. F_0.10,v_1=30,v₂₌₄₀

d. F_0.025,v_1=15,v₂₌₁₂

Short answer

d. The F-critical value isF_0.025,v_1=15,v₂₌₁₂=3.18.

Step-by-step solution

Given Information

The degrees of freedom for the test are 15 and 12. The significance level for the test is 2.5%.

Concept

The critical value is used to find the rejection region for the test statistic; based on it, the decision regarding the null hypothesis is taken.

Obtaining the critical value

d.

In Table VII in Appendix D, one has to check the value at the intersection of 15 and 20, which is the required critical value.

Thus the critical value is F_0.025,v_1=15,v₂₌₁₂=3.18.