A sample is taken and a confidence interval is constructed for the mean of the distribution.At the center of the interval is always which value?
A) The sample mean
B) The population mean μ
C) Neither nor μ since with a sample anything can happen
D) Both

Question

A sample is taken and a confidence interval is constructed for the mean of the distribution.At the center of the interval is always which value?
A) The sample mean 
B) The population mean μ 
C) Neither nor μ since with a sample anything can happen 
D) Both

Quizplus · Accepted Answer

The center of the confidence interval is the sample mean because it is used to estimate the population mean. The interval is constructed based on the sample mean and its variability in order to estimate where the population mean is likely to be.

A Sample Is Taken and a Confidence Interval Is Constructed