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Interactive 3D/Confidence Intervals

Green = captures μ · Red = misses μ · Dashed line = true μ

Sample Size

n = 30

5100

Confidence Level

95% CI

80%99%

Animation Speed

300ms / interval

fastslow

Controls

Live Stats

Drawn:0

Capturing:0

% capturing:-%

Expected:95%

A 95% CI means: if you repeated the experiment many times, 95% of the intervals would contain the true parameter - not that there's a 95% chance the true value is in this specific interval.

Try: Drop confidence to 80% - watch more CIs miss μ. Raise n - watch intervals shrink but the capture rate stay stable.

Confidence Intervals - Interactive Visualization

A 95% confidence interval means: if you repeated the experiment many times, 95% of the computed intervals would contain the true parameter. This is often misunderstood as '95% probability the true value is in this interval.' This animation shows 50 CI computations, coloring green when they capture μ and red when they miss, making the frequentist interpretation visceral.

Watch 50 confidence intervals animate one by one
Green = captures true μ, red = misses
See % capturing μ converge to 1-α over many intervals
Adjust n to see narrower CIs with more data
Adjust confidence level and see wider/narrower intervals

Part of the EngineersOfAI Interactive 3D - free interactive visualizations covering every major concept in machine learning and AI engineering. Hover any element for a plain-English explanation. No code required.