What is measured by the numerator of the z-score test statistic?​ a. ​The actual distance between M and µ ​b. Whether or not there is a significant difference between M and µ ​c. The position of the sample mean relative to the critical region ​d. The average distance between M and µ that would be expected if H0 was true

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Answer:

a. ​The actual distance between M and µ

Step-by-step explanation:

The z-score test is a statistical test for which the distribution of the test is normally distributed under null hypothesis. It is used to test the mean for a known standard deviation. The z score (z)  is the distance from the sample mean to the population mean in units of the standard error and is given by the equation:

[tex]z=\frac{M-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex], where μ is the mean, ο is the standard deviation, n is the number of samples in the population and [tex]\frac{\sigma}{\sqrt{n} }[/tex] is the standard error.

The numerator of the z score is the distance from the sample mean (μ) to the population mean (M).