A 95% confidence interval for a mean is (12, 18). The correct interpretation is
- A
95% of individual data points lie in (12, 18)
- Bcheck_circle
If we repeated the sampling procedure many times, ~95% of resulting intervals would contain the true mean
- C
The sample mean has a 95% chance of being in (12, 18)
- D
There is a 95% probability that the true mean lies in (12, 18)
Explanation
Frequentist interpretation: it's the procedure that captures the parameter 95% of the time across hypothetical replications. Probability statements about a fixed parameter belong to Bayesian framework.