Suppose a 95% confidence interval for μ turns out to be (1,000,2,100).Give a definition of what it means to be "95% confident" as an inference.
A)In repeated sampling,the population parameter would fall in the given interval 95% of the time.
B)In repeated sampling,95% of the intervals constructed would contain the population mean.
C)95% of the observations in the entire population fall in the given interval.
D)95% of the observations in the sample fall in the given interval.

Question

Quizplus · Accepted Answer

A 95% confidence interval means that if we were to take many samples and construct a confidence interval from each of those samples, 95% of those intervals would contain the true population mean. This is a statement about the procedure of constructing intervals, not about the probability of the parameter being in any one interval.

Suppose a 95% Confidence Interval for μ Turns Out to Be