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Confidence intervals
Computes confidence intervals for μ and σ.
2024.Jul.03 19:18:50
n Sample size. •
x , s (both) kg Sample average and standard deviation. •
prob % COnfidence level. •
tol, npoints Tolerance for numerical inversion, and graph points. •
Show values ? Shows the graph coordinates.

Computes confidence intervals for the (Gaussian) population parameters, μ and σ. In the case of σ, two intervals are computed: the classical interval with equal left and right probability tails; and the narrowest interval, the tails being recalculated and shown.

Graphs are drawn showing: the Student distribution (in the problem's physical units); and the χ² distribution, in the "classical" case only (as the narrowest interval is practically the same). Their cumulative functions are included, as well as corresponding (shaded) areas.

References: Plate: ConfidenceIntervals

• Wikipedia: Table of χ2 values vs p-values • Keisan Chi-square distribution (chart) Calculator

• 1841-01-06: Sturm, Friedrich Otto Rudolf (1919-04-12).

 
 
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Created: 2019-01-06 — Last modified: 2019-01-20