If a population standard deviation is 100,then the sampling distribution for will have a standard deviation that is less than 100 for all sample sizes equal to 2 or more.

Question

If a population standard deviation is 100,then the sampling distribution for  will have a standard deviation that is less than 100 for all sample sizes equal to 2 or more.

Quizplus · Accepted Answer

This statement is true according to the Central Limit Theorem. As sample size increases, the standard deviation of the sampling distribution decreases and approaches the population standard deviation. Therefore, for sample sizes equal to 2 or more, the standard deviation of the sampling distribution will be less than 100.

If a Population Standard Deviation Is 100,then the Sampling Distribution