The sampling distribution of the mean
A) is skewed for N 30
B) is a rectangular distribution for N 30
C) approaches a normal distribution for N 30
D) is none of the other alternatives.

Question

The sampling distribution of the mean
A) is skewed for N > 30
B) is a rectangular distribution for N > 30
C) approaches a normal distribution for N > 30
D) is none of the other alternatives.

Quizplus · Accepted Answer

According to the Central Limit Theorem, as the sample size (N) increases, the sampling distribution of the mean approaches a normal distribution, regardless of the shape of the population distribution. This typically becomes noticeable when N > 30.

The Sampling Distribution of the Mean