Question: What is the most appropriate interpretation of a 95% confidence interval for the population mean?

1. There is a 95% chance that the sample mean (i.e., \(\bar{X}\) ) will be contained in the confidence interval.
2. There is a 5% chance that the sample mean (i.e., \(\bar{X}\) ) will be contained in the confidence interval.
3. There is a 5% chance that the confidence interval will contain the population mean (i.e., \(\mu \) ).
4. There is a 95% chance that the confidence interval will contain the population mean (i.e., \(\mu \) ).
5. There is a 95% chance that a randomly selected individual from the population of interest will be contained within the confidence interval limits for the mean.

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