If a population is known to be normally distributed,then it follows that the sample standard deviation must equal $\sigma$.

Question

If a population is known to be normally distributed,then it follows that the sample standard deviation must equal  $\sigma$.

Quizplus · Accepted Answer

The sample standard deviation is calculated using the formula s, while the population standard deviation is represented by σ. Therefore, the statement is false as there is no indication that the sample standard deviation equals the population standard deviation divided by the square root of the sample size.

If a Population Is Known to Be Normally Distributed,then It σ\sigmaσ

If a Population Is Known to Be Normally Distributed,then It $\sigma$