When testing H₀: $\sigma$₁² $\le$ $\sigma$₂² H_A: $\sigma$₁² $\sigma$₂² where s₁² = .004,s₂² = .002,n₁ = 4,n₂ = 7 at $\alpha$ = .05,what critical value do we use? A)1.833 B)1.796 C)4.12 D)4.76

Question

When testing H₀: $\sigma$₁² $\le$ $\sigma$₂² H_A: $\sigma$₁²> $\sigma$₂² where s₁² = .004,s₂² = .002,n₁ = 4,n₂ = 7 at $\alpha$ = .05,what critical value do we use? A)1.833 B)1.796 C)4.12 D)4.76

Quizplus · Accepted Answer

The critical value for an F-test comparing two variances with degrees of freedom (n1-1, n2-1) at α = 0.05 is found using an F-distribution table. Here, df1 = 3 and df2 = 6, and the critical value is approximately 4.12.

When Testing H0 σ\sigmaσ 12 ≤\le≤ σ\sigmaσ 22 HA σ\sigmaσ 12> σ\sigmaσ 22 Where S12 =

When Testing H₀ $\sigma$ ₁² $\le$ $\sigma$ ₂² H_A $\sigma$ ₁²> $\sigma$ ₂² Where S₁² =