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

#신뢰구간#confidence#interval#estimation