The F test of sample variance may be performed if it is not known whether the two populations have equal variance.In this case the hypotheses are ________. A)H₀:μ₁ = μ₂ H₁:μ₁ ≠ μ₂ B)H₀:σ₁² = σ₂² H₁:σ₁² ≠ σ₂² C)H₀:μ ≤ 4.0 H₁:μ 4.0 D)H₀: π₁ = π₂ H₁: π₁ ≠ π₂

Question

The F test of sample variance may be performed if it is not known whether the two populations have equal variance.In this case the hypotheses are ________. A)H₀:μ₁ = μ₂ H₁:μ₁ ≠ μ₂ B)H₀:σ₁² = σ₂² H₁:σ₁² ≠ σ₂² C)H₀:μ ≤ 4.0 H₁:μ > 4.0 D)H₀: π₁ = π₂ H₁: π₁ ≠ π₂

Quizplus · Accepted Answer

The hypotheses for F test of sample variance are related to the population variances, not the population means or proportions. Therefore, options A, C, and D are incorrect. Option B presents the correct hypotheses for F test of sample variance, where the null hypothesis is that the population variances are equal and the alternative hypothesis is that they are not equal.

The F Test of Sample Variance May Be Performed If