Based on the central limit theorem,the size of the sampling error is
A)Directly related to the sample size,i.e. ,the larger the sample size the larger the sampling error.
B)Directly related to the population mean,i.e. ,the larger the mean,the larger the sampling error.
C)Inversely related to the sample size,i.e. ,the larger the sample size the smaller the sampling error.
D)Inversely related to the population standard deviation,i.e. ,the smaller the standard deviation,the larger the sampling error.

Question

Quizplus · Accepted Answer

The central limit theorem states that as the sample size increases, the sampling distribution of the mean approaches a normal distribution, regardless of the shape of the population distribution. As a result, the sampling error, which is the difference between the sample mean and the population mean, decreases as the sample size increases. Therefore, the correct answer is C, which states that the sampling error is inversely related to the sample size.

Based on the Central Limit Theorem,the Size of the Sampling