Question

The following hypotheses are given:

H₀ : σ₁² − σ₂² ≤ 0

H₁ : σ₁² − σ₂² > 0

A random sample of thirteen observations from the first population resulted in a standard deviation of 15. A random sample of forty nine observations from the second population showed a standard deviation of 18. At the 0.01 significance level, is there more variation in the first population?

a. State the decision rule. (Round the final answer to 2 decimal places.)

Reject H₀ if F >                 .

b. Compute the value of the test statistic. (Round the final answer to 2 decimal places.)

Value of the test statistic: ________________

c. What is your decision regarding H_o?

(Do not reject or Reject?)

Answer 1