Which of the following statements is correct?
A) The distribution of the values in a sample is called a sampling distribution.
B) The variability of sample means is never smaller than that of the population being sampled.
C) The larger the sample size is, the larger is the standard error of the mean.
D) The distribution of the values of a statistic over all possible samples of fixed size is called a sampling distribution.

Question

Quizplus · Accepted Answer

Option D correctly defines the sampling distribution, which is the distribution of the values of a statistic over all possible samples of a fixed size. Option A refers to the distribution of values in a single sample, not the distribution of the statistic over all possible samples. Option B is incorrect because the variability of sample means can be smaller than that of the population, depending on the sample size and the variability of the population. Option C is also incorrect because the standard error of the mean decreases as sample size increases, not the other way around.

Which of the Following Statements Is Correct