t confidence interval for the mean
expresses the coverage of the population mean by a repeated sampling procedure.
symbols, variables and units
α: significance level; t: t distribution quantile; s: sample standard deviation.
applicable conditions and boundaries
is accurate for normal population independent samples; it is not the frequentist probability that the mean falls into the calculated interval.
formula source code
The following is a copyable LaTeX expression.
\bar x\pm t_{1-\alpha/2,n-1}\frac{s}{\sqrt n}Reference and Extended Learning
NIST/SEMATECH · e-Handbook of Statistical Methods ↗is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.
confidence intervalconfidence interval