Which of the following is true regarding the sampling distribution of the mean for a large sample
Size?
A) It has the same shape, mean, and standard deviation as the population.
B) It has a normal distribution with the same mean and standard deviation as the population.
C) It has the same shape and mean as the population, but has a smaller standard deviation.
D) It has a normal distribution with the same mean as the population but with a smaller standard deviation.

Question

Quizplus · Accepted Answer

According to the Central Limit Theorem, the sampling distribution of the mean will be approximately normal for a large sample size, with the same mean as the population but a smaller standard deviation, specifically the population standard deviation divided by the square root of the sample size.

Which of the Following Is True Regarding the Sampling Distribution