A 95 percent confidence interval of 31 to 35 means that for the population under consideration,
A) 95 percent of its µ's will be between 31 and 35
B) 95 percent of the confidence intervals based on random samples from the population will contain µ
C) 95 percent of $\bar { X } ^ { \prime } s$ will be between 31 and 35.

Question

Quizplus · Accepted Answer

A 95 percent confidence interval means that if we were to take many random samples from the population and compute a confidence interval from each sample, 95 percent of those intervals would contain the true population mean (µ). Choices A and C misinterpret the concept of a confidence interval.

A 95 Percent Confidence Interval of 31 to 35 Means Xˉ′s\bar { X } ^ { \prime } sXˉ′s

A 95 Percent Confidence Interval of 31 to 35 Means $\bar { X } ^ { \prime } s$