The formula for z based on the mean of a sample is: A) z = (M - $\mu $_M)/$\mu $_s. B) z = (X - $\mu $_M)/$\mu $_s. C) z = (X - $\mu $_M)/ s_M. D) z = (M - $\mu $_M)/s_M.

Question

Quizplus · Accepted Answer

The correct formula for calculating a z-score based on the mean of a sample is $z = \frac{(M - \mu)}{s/\sqrt{N}}$, where $M$ is the sample mean, $\mu$ is the population mean, $s$ is the sample standard deviation, and $N$ is the sample size. Option D is the correct representation of this formula, despite the presence of formatting errors in the options provided.

The Formula for Z Based on the Mean of a Sample