A sample is taken and a confidence interval is constructed for the mean of the distribution.Which value is always found at the center of the interval?
A)The sample mean
B)The population mean μ
C)Neither nor μ since with a sample anything can happen
D)Both and μ as long as there are not too many outliers

Question

Quizplus · Accepted Answer

The center of the confidence interval is always the sample mean. The confidence interval is constructed based on the sample, therefore the sample mean is the value around which we are constructing the interval. The population mean μ is not necessarily known and is not always found at the center of the interval. The presence of outliers does not affect which value is at the center of the interval.

A Sample Is Taken and a Confidence Interval Is Constructed