Answer:
[tex]z = -1.125[/tex]
Step-by-step explanation:
The z value for a random normal variable = x with mean = [tex]\mu[/tex] and standard deviation = [tex]\sigma[/tex] is given by the formula
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
[tex]\text{Given x = 36, \mu = 47, \sigma = 8}\\\\[/tex][tex]\text {GIven $x = 38, \mu = 47, \sigma = 8$}\\\\z = \dfrac{38-47}{8}\\\\z = \dfrac{-9}{8}\\\\z = -1.125[/tex]
