Testing H₀: σ₁² = σ₁², H_A: σ₁² > σ₂² at α

question 46

Short Answer

Testing H₀: σ₁² = σ₁², H_A: σ₁² > σ₂² at α = .01, where n₁ = 5, n₂ = 6, s₁² = 15,750, and
s₂² = 10,920, can we reject the null hypothesis?

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Definitions:

Within-group Differences

Variability or disparities found within a single group's members rather than between different groups.

Between-group Differences

Refers to variations or discrepancies in characteristics or outcomes between distinct groups in a study.

Within-groups Df

Degrees of Freedom used within an analysis to account for variability among grouped observations or subjects.

Between-group Estimate

Statistical measurements that compare differences in characteristics or outcomes between distinct groups.