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

Question

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Confidence interval is a range of values that is likely to contain the population parameter with a certain level of confidence. It is not a probability statement about the population parameter because the true population parameter is a fixed quantity and it either falls within the interval or it doesn't. Therefore, we cannot interpret the confidence interval as a probability statement.

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