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Hypothesis Testing

★★★★☆Undergraduate

📖Definition

A statistical method to test claims about a population using sample data.

📐Formulas

H₀: μ = μ₀, H₁: μ ≠ μ₀

Null and alternative hypotheses

Z = \frac\barX - μ₀σ / √n

Z test statistic

t = \frac\barX - μ₀s / √n

t test statistic

✏️Examples

예제 1★★★★

Test μ=50 with sample mean 52, SD 10, n=25 (α=0.05).

Applications

Pharmaceuticals

Clinical trial efficacy

Quality Control

Process anomaly detection

Social Science

Research validation

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