Statistics Simulation
Confidence Interval Coverage Simulation Lab
Use this interactive statistics simulation to watch repeated samples create confidence intervals, then track how often the method captures the true population mean.
Interval Plot
Last 0 intervals. Blue captures the true mean; orange dashed intervals miss it.
CapturedMissed
Click Step, Run, or Jump to generate intervals.
Running Coverage
X-axis: intervals simulated. Y-axis: percent of intervals that captured the true mean so far.
Current: Not started
No coverage history yet.
What to notice: The line has not started yet. After repeated samples, compare the observed coverage with the 95% target line.
Connect to Calculator
Run at least one interval to compare a specific sample.
Coverage Snapshot
Target 95%
Coverage
Not started
Captured
0
Missed
0
Avg width
0.00
Observed coverageTarget marker at 95%
Latest Interval Formula
Run at least one interval to see the formula for the latest simulated sample.
Running coverage chart is empty. Target coverage is 95 percent. Latest interval: --. Current guided status: Explore mode active.
What This Means
At 95% confidence, this method should capture the true mean in about 95% of repeated samples when its assumptions fit the data.
Population, Sample Means, and CLT
Run intervals to build the sample mean histogram.
- Latest mean
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- Latest sample sd
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- Latest method
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- Latest interval
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