Confidence interval estimate

[mattc]

Assuming a confidence interval estimate is created correctly – meaning there are no sampling errors, calculation errors, or human errors – explain how that interval might miss the true population mean.

[omega]

The confidence interval has a confidence level, eg. 90%, 95%, or 99%. For a 95% confidence interval, there is a 5% chance that it may not contain the true population mean. This occurs by chance, even if there are no sampling errors, calculation errors, or human errors.