When testing H₀: $\sigma$₁²= $\sigma$₁²,H_A: $\sigma$₁² $\sigma$₂² at $\alpha$ = .01 where n₁ = 5,n₂= 6,s₁² = 15750,s₂² = 10920 what critical value do we use? A)2.821 B)11.39 C)8.75 D)1.443

Question

When testing H₀: $\sigma$₁²= $\sigma$₁²,H_A: $\sigma$₁²> $\sigma$₂² at $\alpha$ = .01 where n₁ = 5,n₂= 6,s₁² = 15750,s₂² = 10920 what critical value do we use? A)2.821 B)11.39 C)8.75 D)1.443

Quizplus · Accepted Answer

The critical value for an F-test with α = 0.01, numerator degrees of freedom (n1 - 1) = 4, and denominator degrees of freedom (n2 - 1) = 5 is 11.39.

When Testing H0 σ\sigmaσ 12= σ\sigmaσ 12,HA σ\sigmaσ 12> σ\sigmaσ 22 At α\alphaα = 01 Where N1 = 5,n2= 6,s12 = 15750,s22 = 10920

When Testing H₀ $\sigma$ ₁²= $\sigma$ ₁²,H_A $\sigma$ ₁²> $\sigma$ ₂² At $\alpha$ = 01 Where N₁ = 5,n₂= 6,s₁² = 15750,s₂² = 10920