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When the Necessary Conditions Are Met, a Two-Tail Test Is α\alpha

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When the necessary conditions are met, a two-tail test is being conducted at α\alpha = 0.10 to test H₀: σ12/σ22\sigma _ { 1 } ^ { 2 } / \sigma _ { 2 } ^ { 2 } = 1. The two sample variances are s12s _ { 1 } ^ { 2 } = 736 and s22s _ { 2 } ^ { 2 } = 1024, and the sample sizes are n1 = 16 and n2 = 25. The rejection region is F > 2.11 or F < 0.4367.


Definitions:

Southern Economy

Refers to the economic structure and characteristics dominant in the Southern United States, historically characterized by agriculture and plantation systems.

Plantations

Large agricultural estates typically found in tropical or subtropical regions that specialize in the mass production of a single cash crop, such as sugar, cotton, or tobacco.

Immigrant Population

Refers to individuals who have moved to a new country from their place of origin, often for reasons such as economic opportunity, refuge, or family reunification.

Hinton Helper

An American Southern critic of slavery known for his book "The Impending Crisis of the South," advocating for the abolition of slavery on economic grounds.

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