Math Problem Statement
Use s to calculate the value of the test statistic.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Hypothesis Testing
Sample Standard Deviation
Test Statistics
Formulas
Single-sample t-test: t = (x̄ - μ) / (s / √n)
Two-sample t-test: t = (x̄₁ - x̄₂) / (sp √(1/n₁ + 1/n₂))
Pooled standard deviation: sp = √[((n₁ - 1)s₁² + (n₂ - 1)s₂²) / (n₁ + n₂ - 2)]
Z-test: z = (x̄ - μ) / (s / √n)
Theorems
Central Limit Theorem
t-distribution
Z-distribution
Suitable Grade Level
College/University