Suppose a 95 confidence interval for a population mean has, Ask an Expert

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Suppose a 95% confidence interval for a population mean has been calculated, and it extends from 123.7 to 155.2. Some people would then state, "The probability that the population mean is between 123.7 and 155.2 is 0.95."

Why is this, strictly speaking, an invalid statement? How would you rephrase it to make it a valid statement?

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