In the equation for confidence intervals, $\bar{X} \pm z_{a}\left(\frac{s}{\sqrt{n}}\right)$ , $Z_{a}$ corresponds to ______.

Question

Quizplus · Accepted Answer

$Z_{a}$ corresponds to the z-score associated with the desired level of confidence, not the alpha itself, but it is determined based on the alpha level (where alpha is the probability of type I error, or 1 minus the confidence level). It does not represent the standard deviation, variance of the sample, or the lower limit of the confidence interval directly.

In the Equation for Confidence Intervals Xˉ±za(sn)\bar{X} \pm z_{a}\left(\frac{s}{\sqrt{n}}\right)Xˉ±za​(n​s​) ZaZ_{a}Za​ Corresponds to ______

In the Equation for Confidence Intervals $\bar{X} \pm z_{a}\left(\frac{s}{\sqrt{n}}\right)$ $Z_{a}$ Corresponds to ______