If a population is known to be normally distributed,then it follows that the sample mean $\bar { x }$ must equal the population mean $\mu$ .

Question

If a population is known to be normally distributed,then it follows that the sample mean $\bar { x }$ must equal the population mean $\mu$.

Quizplus · Accepted Answer

While the distribution of sample means will be normally distributed around the population mean due to the Central Limit Theorem, individual sample means ($\bar{x}$) can vary and do not always equal the exact population mean ($\mu$).

If a Population Is Known to Be Normally Distributed,then It xˉ\bar { x }xˉ

If a Population Is Known to Be Normally Distributed,then It $\bar { x }$