Which of the following is a correct comparison of the population standard error

Question

Which of the following is a correct comparison of the population standard error (SE) to the population standard deviation (SD)?

Select one:

a. There is no difference; the SE is always equal to the SD.

b. Unlike the SE, the SD is necessary for calculating confidence intervals.

c. The SE should be reported with a sample mean in a descriptive analysis, not the SD.

d. The SD is always smaller than the SE.

e. The SE is a measure of the variability in the sampling distribution of the mean, whereas the SD is a measure of variability about the mean for a given sample.

Explanation / Answer

Answer:

Which of the following is a correct comparison of the population standard error (SE) to the population standard deviation (SD)?

Select one:

a. There is no difference; the SE is always equal to the SD.

b. Unlike the SE, the SD is necessary for calculating confidence intervals.

c. The SE should be reported with a sample mean in a descriptive analysis, not the SD.

d. The SD is always smaller than the SE.

Answer: e. The SE is a measure of the variability in the sampling distribution of the mean, whereas the SD is a measure of variability about the mean for a given sample.

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