The restriction that is built into the calculation of the standard error of the mean, the restriction that costs one degree of freedom, is
A) $\Sigma$(X - $\bar { X }$ ) = 0
B) that samples must be random
C) that statistics are never as accurate as parameters
D) none of the other alternatives are correct.

Question

Quizplus · Accepted Answer

The restriction built into the calculation of the standard error of the mean, which costs one degree of freedom, is the mathematical constraint that the sum of the deviations of each score from the mean ($X - \bar{X}$) equals zero. This is a fundamental property of the mean in any sample or population, reflecting that the mean is the balance point of the distribution of values.

The Restriction That Is Built into the Calculation of the Standard