A 95 percent confidence interval of 14 to 17 means that
A) 95 percent of the time $\bar { X }$ will be between 14 and 17
B) 95 percent of the µ's will be between 14 and 17
C) 95 percent of the confidence intervals calculated like this one will contain µ
D) all of the other alternatives are correct.

Question

Quizplus · Accepted Answer

A 95 percent confidence interval of 14 to 17 means that if we were to take many samples and calculate a confidence interval for each, 95 percent of those confidence intervals would contain the true population mean (µ). Choices A and B misinterpret the concept of a confidence interval.

A 95 Percent Confidence Interval of 14 to 17 Means Xˉ\bar { X }Xˉ

A 95 Percent Confidence Interval of 14 to 17 Means $\bar { X }$