Suppose that you had constructed from sample data a 95 percent confidence interval about the population mean. Which is a correct interpretation? A) 95 percent of the population µ^'s are in the interval B) µ has a .95 probability of being in the interval C) you are 95 percent sure that the interval contains $\mu$ D) all of the other alternatives are correct.

Question

Quizplus · Accepted Answer

A 95% confidence interval means that if we were to take many samples and build a confidence interval from each of them, we expect 95% of those intervals to contain the true population mean $\mu$. It does not mean that $\mu$ has a 95% probability of being in the interval, as $\mu$ is a fixed value.

Suppose That You Had Constructed from Sample Data a 95 μ\muμ

Suppose That You Had Constructed from Sample Data a 95 $\mu$