If a population is skewed, based on the Central Limit Theorem, what is a good rule of thumb for assuming the sampling distribution of is approximately normal?
A) np ≥ 5
B) n ≥ 30
C) μ ≥ 30
D) n ≤ 30

Question

If a population is skewed, based on the Central Limit Theorem, what is a good rule of thumb for assuming the sampling distribution of  is approximately normal?
A) np ≥ 5 
B) n ≥ 30 
C) μ ≥ 30 
D) n ≤ 30

Quizplus · Accepted Answer

The Central Limit Theorem states that the sampling distribution of the means of any independent, random variable will be approximately normal if the sample size is sufficiently large (usually n ≥ 30), regardless of the shape of the population distribution. Therefore, choice B is the best option for assuming the sampling distribution of 11eb86f3_5f6e_e543_883a_838240c049d6_TB8195_11 is approximately normal.

If a Population Is Skewed, Based on the Central Limit