There follows the formula for "z-score:"
raw score - mean
z = ------------------------------
standard dev
9.1 - 8
Here, the z-score is z = ------------- = 0.344
3.2
Answer: The z-score of a car is 0.34375.
Step-by-step explanation:
Since we have given that
The ages of cars driven by employees at a company are normally distributed.
Mean = [tex]\mu[/tex] = 8 years
Standard deviation = [tex]\sigma[/tex] = 3.2 years
Age of car = X = 9.1 years old.
We need to find the z-score of a car which is given by
[tex]z=\frac{X-\mu}\sigma}\\\\z=\frac{9.1-8}{3.2}\\\\z=\frac{1.1}{3.2}\\\\z=0.34375[/tex]
Hence, the z-score of a car is 0.34375.
