In a broad sense, the role of a confidence interval for the population mean is meant to accurately portray what?
A) If you take a random sample, the sample mean is a biased estimate of the population mean.
B) Different population distributions have different population means.
C) The uncertainty involved with observing a sample and not the entire population.
D) None of the answers is correct.

Question

Quizplus · Accepted Answer

A confidence interval for the population mean is meant to accurately portray the uncertainty involved with observing a sample and not the entire population. This means that the interval provides a range of values within which the true population mean is likely to lie, given the observed sample mean and standard deviation. Option A is true but not the main purpose of a confidence interval. Option B is also true but not the main purpose of a confidence interval. Option D is incorrect as option C is correct.

In a Broad Sense, the Role of a Confidence Interval