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Confidence Intervals and What They Cover

Coverage as a property of the procedure rather than of any one interval, why the t distribution is not a refinement you can skip, and an exact computation showing a standard interval delivering 87% where it advertises 95%.

IntermediateModule 230 min · 120 XP
Interval after interval stacking up around a fixed true value with a steady fraction missing it, the normal and t quantiles compared side by side, and an exact coverage curve for a proportion oscillating below its advertised level as the sample size grows.

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