Answer:
The mean and standard deviation for the z-scores in this distribution are 0 and 1 respectively.
Step-by-step explanation:
Let the random variable <em>X</em> follow a Normal distribution with mean <em>μ </em>and standard deviation <em>σ.</em>
The <em>z</em>-scores are standardized form of the raw scores <em>X</em>. It is computed by subtracting the mean (<em>μ</em>) from the raw score <em>x</em> and dividing the result by the standard deviation (<em>σ</em>).
These <em>z</em>-scores also follow a normal distribution.
The mean is:
The standard deviation is:
Thus, the mean and standard deviation for the z-scores in this distribution are 0 and 1 respectively.