INGENIA

PRB-34

SE of the mean

Sampling SE.

Reading speed
GoverningSE of the mean

Governing equation

mathrmSE=sigma/sqrtn\\mathrm{SE}=\\sigma/\\sqrt{n}

where

sig
sig ()
n
n ()
se
SE of the mean ()

Lecture brief

Historical brief

Bernoulli trials, Poisson, Gauss, Bayes and Shannon entropy turned chance into a calculus of belief and noise. The lab computes likelihood, interval and information in SI-free counts. This sheet (PRB-34 — SE of the mean) is the form associated with SE of the mean. Working symbols: sigsig, nn \rightarrow sese. Sampling SE. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute sese from sigsig, nn in Probability & statistics via mathrmSE=sigma/sqrtn\\mathrm{SE}=\\sigma/\\sqrt{n} Sampling SE. Use it when a real probability & statistics question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given sig=4.000sig = 4.000\,\mathrm{—}, n=25.000n = 25.000\,\mathrm{—}, the governing relation mathrmSE=sigma/sqrtn\\mathrm{SE}=\\sigma/\\sqrt{n} yields se=0.800se = 0.800\,\mathrm{—}. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Outputs

  • SE of the mean se0.800
Reading speed

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PRB-34 · curve
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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Sampling SE. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube