Question

question 4
values of the standard normal random variable are measured
with reference to specific units.
in the units in which the mean is measured.
in the number of standard deviations from the mean.
in squared units in which the mean is measured.
none of these answers are correct.

Explanation:

A standard normal random variable \(Z\) is defined as \(Z=\frac{X - \mu}{\sigma}\), where \(X\) is a normal random variable with mean \(\mu\) and standard deviation \(\sigma\). The value of \(Z\) represents the number of standard deviations that the value of \(X\) is away from the mean \(\mu\). For example, if \(Z = 2\), the corresponding \(X\) value is \(2\) standard deviations above the mean.

Answer:

in the number of standard deviations from the mean.