A confidence interval for the population mean will contain the true value of as long as the point estimate is within the lower and the upper confidence limits.

Question

A confidence interval for the population mean  will contain the true value of  as long as the point estimate  is within the lower and the upper confidence limits.

Quizplus · Accepted Answer

This is true, as the confidence interval is constructed in such a way that there is a specified level of confidence (e.g. 95%) that the true population mean lies within the lower and upper limits of the interval. As long as the point estimate (i.e. the sample mean) falls within this interval, we can be reasonably confident that it is a good estimate of the population mean.

A Confidence Interval for the Population Mean Will Contain