We cannot interpret the confidence interval estimate of $\mu$ as a probability statement about $\mu$ , simply because the population mean is a fixed but unknown quantity.

Question

Quizplus · Accepted Answer

Confidence intervals provide a range of plausible values for a population parameter (such as the population mean), but it does not provide a probability statement about the parameter itself. The reason for this is that the parameter is fixed but unknown, so it either falls within the confidence interval or it does not. It is incorrect to say that there is a certain probability that the true population mean falls within the interval.

We Cannot Interpret the Confidence Interval Estimate Of μ\muμ As a Probability Statement About

We Cannot Interpret the Confidence Interval Estimate Of $\mu$ As a Probability Statement About