The requirement that is built into the calculation of $s _ { X }$ , the requirement that costs one degree of freedom, is that A) the null hypothesis is µ_l = µ₂ = 0 B) $\hat{ S }$ is always smaller than S C) variances of the two populations must be equal D)$\Sigma$(X- $\bar { X }$ )=0.

Question

Quizplus · Accepted Answer

The requirement that costs one degree of freedom in the calculation of $s_X$ is that the sum of the deviations from the mean ($X- \bar { X }$) equals zero. This is a fundamental property of sample variances, where the deviations of individual data points from the sample mean are used to calculate variance, and their sum must equal zero to ensure that the variance calculation is centered around the sample mean.

The Requirement That Is Built into the Calculation Of sXs _ { X }sX​

The Requirement That Is Built into the Calculation Of $s _ { X }$