Confidence Interval
★★★☆☆High School
📖Definition
Range of values expected to contain parameter. 95% CI means 95% of repeated samples contain true value
📐Formulas
Mean CI: x̄ ± z_α/2 · σ/√n
t-CI: x̄ ± t_α/2,n-1 · s/√n
Proportion CI: p̂ ± z_α/2√(p̂(1-p̂)/n)
✏️Examples
예제 1
95% CI for μ
예제 2
99% CI for proportion
⚡Applications
Polling
Medical research
Quality estimation
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