When a confidence interval for a population mean is constructed from sample data, __________.
A)We can conclude that the population mean is in the interval
B)We can conclude that the population mean is not in the interval
C)We can conclude, for an infinite number of samples and corresponding confidence intervals, that the population mean is in a stated percentage of the intervals
D)We cannot make any inferences

Question

Quizplus · Accepted Answer

C is correct because when constructing confidence intervals for a population mean from sample data, the interpretation is that if we were to take an infinite number of samples and construct confidence intervals in the same way, a stated percentage of these intervals would contain the population mean. This does not guarantee that the population mean is in any specific interval constructed from a single sample.

When a Confidence Interval for a Population Mean Is Constructed