The ________ is called the standard error of the mean or the proportion to indicate that it refers to a sampling distribution of the mean or the proportion,and not to a sample or a population.
A)coefficient of variation
B)standardized variate
C)variance
D)standard deviation

Question

Quizplus · Accepted Answer

The standard deviation is a measure of variability within a sample or population. However, when calculating the standard error of the mean or proportion, we are referring to the variation within the sampling distribution. Hence, option D, which refers to the standard deviation of the sampling distribution, is the correct answer. Option A (coefficient of variation) is not relevant here as it measures the variability relative to the mean. Option B (standardized variate) is a term used for the standardization of a normal distribution to a standard normal distribution. Option C (variance) is also not the correct answer as it measures the average of squared deviations from the mean of a sample or population.

The ________ Is Called the Standard Error of the Mean