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For a population with a mean of μ=45 and a standard deviation of σ=10,

Sagot :

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]