Question:
For a population with a mean of μ=45 and a standard deviation of σ=10. What is the corresponding z score if it has a score of X = 44?
Answer:
[tex]z = -0.10[/tex]
Explanation:
Given
[tex]\mu = 45[/tex]
[tex]\sigma = 10[/tex]
[tex]x = 44[/tex]
Required
Calculate the z score
This is calculated as:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So:
[tex]z = \frac{44 - 45}{10}[/tex]
[tex]z = \frac{-1}{10}[/tex]
[tex]z = -0.10[/tex]
