Confidence Intervals for Population Variance: Videos & Practice Problems

A pediatrician measures head circumferences (in units of cm) of $12$ healthy newborns and finds a sample standard deviation of $s=0.49$ cm. To gauge the precision of this estimate, she takes $10$ bootstrap samples (with the replacement) of size $12$ and computes each sample’s standard deviation. The sorted bootstrap standard deviations (in cm) are: $0.45,0.48,0.49,0.50,0.51,0.52,0.54,0.56,0.58,0.60$. Using these $10$ values, construct a $95\%$ bootstrap confidence interval for the true population standard deviation $\sigma$.