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 $\bar { x }$
B)The population mean ?
C)Neither $\bar { x }$ nor ? since with a sample anything can happen
D)Both $\bar { x }$

Question

Quizplus · Accepted Answer

The center of a confidence interval for the mean of a distribution is always the sample mean ($\bar{x}$). This is because the interval is constructed based on the sample data to estimate the population mean (μ), and the sample mean is the best estimate we have from that sample.

A Sample Is Taken and a Confidence Interval Is Constructed xˉ\bar { x }xˉ

A Sample Is Taken and a Confidence Interval Is Constructed $\bar { x }$