Pierre Simon Laplace, Inverse Probability, Central Limit Theorem, Probability, Deep Dives.
degrees-of-freedom correction) is a consistent, unbiased estimator of the population standard deviation σ. Hence, you may use S in place of σ and still get a consistent, unbiased estimate for μ_low and μ_high: Formulae for the (1 — α)100% confidence bounds μ_low and μ_high using the dof-adjusted