When the population has a normal distribution, the sampling distribution of $ \bar x $ is normally distributed?
A) for any sample size.
B) for any sample size of 30 or more.
C) for any sample size of 50 or more.
D) for any sample from a finite population.

Question

When the population has a normal distribution, the sampling distribution of $ \bar x $ is normally distributed?
A)  for any sample size.
B)  for any sample size of 30 or more.
C)  for any sample size of 50 or more.
D)  for any sample from a finite population.

Quizplus · Accepted Answer

When the population is normally distributed, the sampling distribution of the sample mean $ \bar x $ is normally distributed for any sample size due to the properties of the normal distribution.

When the Population Has a Normal Distribution, the Sampling Distribution xˉ \bar x xˉ

When the Population Has a Normal Distribution, the Sampling Distribution $\bar x$