A continuous random variable x has a right-skewed distribution with a mean of 80 and a standard deviation of 12.The sampling distribution of the sample mean for a sample of 50 elements taken from this population is:
A)approximately normal
B)not normal
C)skewed to the right
D)skewed to the left

Question

Quizplus · Accepted Answer

According to the Central Limit Theorem, the sampling distribution of the sample mean will be approximately normal if the sample size is large enough (usually n > 30), regardless of the shape of the population distribution. Here, the sample size is 50, which is sufficient for the sampling distribution to be approximately normal.

A Continuous Random Variable X Has a Right-Skewed Distribution with a Mean