Question

Explain in a complete sentence what the confidence interval means. We are 95% confident that the mean wait time at the courthouse of the sample of 81 individuals waiting at the courthouse lies within this interval. There is a 95% chance that a wait time at the courthouse lies within this interval. We are 95% confident that the true population mean wait time at the courthouse lies within this interval. We are 95% confident that a wait time at the courthouse lies within this interval.

Answer 1

The right interpretation for a confidence interval is this:

"We are 95% confident that the true population mean wait time at the courthouse lies within this interval."

Explanation:

The right interpretation for a confidence interval is this:

"We are 95% confident that the true population mean wait time at the courthouse lies within this interval."

The confidence interval gives us, with a certain degree of confidence (in this case, 95%), a rangee of values within there is a chance (in this case, 95%) that the true population lies within.

It is inferred from a sample statistic, taking into account the sample mean, standard deviation and size.

It can not be used to infere probabilities about individual values or sample means.