Question

For a population with = 100 and = 20, what is the x value corresponding to z = 1.50?

Answer 1

For a population with mean (μ) = 100 and standard deviation (σ) = 20, the X value corresponding to z = 1.50 is 130.

What is a z-score?

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.

How to determine the value of x?

In Statistics, the standardized z-score is giving by this formula:

$Z=\frac{\bar{x}\;-\;\mu}{ \sigma }$

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: 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