The smaller the standard error of the mean,
A) The larger the square root of the sample size
B) The smaller the square root of the sample size
C) The more difficult it is to calculate the standard deviation
D) The more difficult it is to calculate the variance

Question

Quizplus · Accepted Answer

The standard error of the mean is calculated by dividing the standard deviation by the square root of the sample size. So, if the standard error of the mean is smaller, it means that the square root of the sample size is larger. Therefore, Choice A is the correct answer. Choice B is incorrect because a smaller square root of the sample size would result in a larger standard error of the mean. Choices C and D are irrelevant because the question is about the relationship between the standard error of the mean and the sample size, not the difficulty of calculating the standard deviation or variance.

The Smaller the Standard Error of the Mean