Because the sampling distribution of sample means is normally distributed,we can use the z transformation formula to find probabilities.Which of the following gives the appropriate notation for this formula?
A)$ z=\frac{M-\mu_{M}}{\sigma_{M}} $
B)$ Z=\frac{M-\mu}{\sigma_{M}} $
C)$ z=\frac{M-\mu}{\frac{\sigma}{\sqrt{n}}} $
D) all of these

Question

Quizplus · Accepted Answer

The z transformation formula is used to find the probability of a sample mean falling within a certain range. The formula is:$ z=\frac{M-\mu}{\sigma_{M}} $where:* $M$ is the sample mean* $\mu$ is the population mean* $\sigma_{M}$ is the standard deviation of the sampling distribution of sample meansAll of the answer choices provided are correct notations for the z transformation formula.

Because the Sampling Distribution of Sample Means Is Normally Distributed,we z=M−μMσM z=\frac{M-\mu_{M}}{\sigma_{M}} z=σM​M−μM​​

Because the Sampling Distribution of Sample Means Is Normally Distributed,we $z=\frac{M-\mu_{M}}{\sigma_{M}}$