Explain what is meant by the statement, "We are $95 \%$ confident that an interval estimate contains $\mu$."
A. The statement reflects the confidence in the estimation process rather than in the particular interval that is calculated from the sample data. It explains that there is a 95\% chance that the interval found contains the true value of $\mu$.
B. The statement reflects the confidence in the particular interval found from this application. It explains that there is a $95 \%$ chance that the interval found contains the true value of $\mu$.
C. The statement reflects the confidence in the estimation process rather than in the particular interval that is calculated from the sample data. It explains that over many repetitions of this application using the same procedure, $95 \%$ of the resulting intervals will contain $\mu$.

Step 1 ：This question is asking for an explanation of a concept in statistics, specifically the interpretation of a confidence interval. A confidence interval is an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.

Step 2 ：If we say we are 95% confident, we mean that 95% of the hypothetical confidence intervals will include the unknown population parameter. In other words, if we were to take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the population mean.

Step 3 ：Therefore, the correct answer is C. The statement reflects the confidence in the estimation process rather than in the particular interval that is calculated from the sample data. It explains that over many repetitions of this application using the same procedure, 95% of the resulting intervals will contain μ.

Step 4 ：Final Answer: \(\boxed{\text{C}}\)