The x value or observed value corresponding to z-score, z = 1.50 is 130.
According to the question.
For a population with µ = 100 and σ = 20.
Since, we know that
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
And it is given by
z = (x - μ) / σ
Where,
x is the observed value.
μ is the mean.
and, σ is the standard deviation.
Therefore, the x value or observed value corresponding to z = 1.50 is given by
[tex]1.50 = \frac{x -100}{20}[/tex]
⇒ 1.50 × 20 = x - 100
⇒ 30 = x - 100
⇒ x = 30 + 100
⇒ x = 130
Hence, the x value or observed value corresponding to z-score, z = 1.50 is 130.
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