For a population with mean (μ) = 100 and standard deviation (σ) = 20, the X value corresponding to z = 1.50 is 130.
A z-score is also referred to as a standard score and it's a measure of the distance between a raw score and the mean, when standard deviation units are used.
In Statistics, the standardized z-score is giving by this formula:
[tex]Z=\frac{\bar{x}\;-\;\mu}{ \sigma }[/tex]
Making x the subject of formula, we have:
x = Zσ + μ
Substituting the given parameters into the formula, we have;
x = 1.50(20) + 100
x = 30 + 100
x = 130.
Read more on z-scores here: https://brainly.com/question/4302527
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Complete Question:
For a population with μ= 100 and σ = 20, what is the X value corresponding to z = 1.50?
30
101.5
115
130
