Confidence intervals
Sampling and inference · Mathematics
Study notes
Q: n = 64, x̄ = 80, σ = 16. Construct a 95% confidence interval for μ. SE = 16/√64 = 16/8 = 2. Margin = 1.96 × 2 = 3.92. CI: 80 ± 3.92 = (76.08, 83.92). We are 95% confident μ lies between 76.08 and 83.92!