File:inf-coverage.png

Figure file · Confidence intervals

Forty samples of size 10 from \operatorname{N}(10,1), each with its 95% t interval for \mu. Thirty-eight cover \mu=10. The two in red miss it. In repeated sampling about 5% of such intervals miss, and nothing in an interval’s own data shows whether it is one of them.

Forty samples of size 10 from \operatorname{N}(10,1), each with its 95% t interval for \mu. Thirty-eight cover \mu=10. The two in red miss it. In repeated sampling about 5% of such intervals miss, and nothing in an interval’s own data shows whether it is one of them.

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Summary

Description. Forty samples of size 10 from \operatorname{N}(10,1), each with its 95% t interval for \mu. Thirty-eight cover \mu=10. The two in red miss it. In repeated sampling about 5% of such intervals miss, and nothing in an interval’s own data shows whether it is one of them.

Appears in. Confidence intervals

Made by. Drawn with Python and matplotlib from the example data. One script draws every figure in its section.

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