8) Which of the following is true?
A) The sample variance is almost always larger than the population variance
B) The formula for standard deviation when it is used to estimate population variance uses just N on the bottom of the equation
C) The formula for standard deviation when it is used to estimate population variance uses N -1 on the bottom of the equation
D) The 'uncorrected' version of the standard deviation formula uses N -1 on the bottom of the equation

Question

Quizplus · Accepted Answer

The formula for standard deviation when it is used to estimate population variance uses N -1 on the bottom of the equation. This is known as the 'corrected' version of the standard deviation formula, which accounts for the fact that when we calculate a sample standard deviation, we are estimating the population standard deviation based on a smaller number of observations. The 'uncorrected' version of the standard deviation formula uses just N on the bottom of the equation, and is used when we have complete data for the entire population. Choice A is incorrect because there is no general rule that the sample variance is larger than the population variance. It depends on the particular sample and population being compared. Choice B is incorrect because the formula for standard deviation when used to estimate population variance uses N -1 on the bottom of the equation, not just N. Choice D is partially correct, but does not specify that the formula using N -1 is the corrected version used to estimate population variance.

8) Which of the Following Is True