A researcher has run an experiment and has properly calculated a confidence interval for a population mean parameter µ. Her 95% confidence interval is (0.351, 0.412). What is the probability that the true, unknown parameter µ is in her 95% confidence interval?
1) The researcher is 95% confident that the true population mean falls between 5 and 95.
2) The researcher is 95% confident that the sample mean falls between 5 and 95.
3) The researcher is 95% confident that the population proportion falls between 5 and 95.
4) This isn't appropriate because confidence intervals are for sample statistics, not parameters.
5) This isn't appropriate because confidence intervals are for population proportions, not population means.