Which (if any) of the following statements about a 95% confidence interval for a mean is CORRECT?

A. The 95% confidence interval will include the true population mean.

B. The 95% confidence interval will include the observed mean.

C. If the study were repeated 100 times, of the 100 resulting 95%

confidence intervals for the mean, we would expect 95 of these to include the true population mean.

D. There is a probability of 0.95 that the true population mean lies between the lower and upper limits of the confidence interval.

E. A 95% confidence interval is a range of values which will include the true population mean for 90% of possible samples.