Which of the following is true about a 95% confidence interval of the mean of a given sample
A) 95 out of 100 sample means will fall within the limits of the confidence interval.
B) There is a 95% chance that the population mean will fall within the limits of the confidence interval.
C) 95 out of 100 population means will fall within the limits of the confidence interval.
D) There is a .05 probability that the population mean falls within the limits of the confidence interval.

Question

Quizplus · Accepted Answer

A 95% confidence interval means that if we were to repeat the experiment multiple times and construct 95% confidence intervals from each sample, we can expect the true population mean to fall within 95% of those intervals. Therefore, we cannot make any definitive statements about the location of the population mean with only one sample. Option A and C refer to the same concept but are incorrect because the success rate of capturing the population mean in a single interval cannot be guaranteed. Option D is incorrect because probabilities do not refer to specific values in confidence intervals.

Which of the Following Is True About a 95% Confidence