A population has a mean $\mu = 17$ and standard deviation $\sigma = 14$ What number has a z-score of -0.1?
A) 15.6
B) -1.2
C) -18.4
D) -1.4

Question

Quizplus · Accepted Answer

The formula for z-score is: 
z = (x - μ) / σ
where x is the value in question.
We are given z = -0.1, μ = 17, and σ = 14.
Rearranging the formula, we get:
x = zσ + μ
Substituting the given values, we get:
x = -0.1 * 14 + 17
x = 15.6
Therefore, the answer is 15.6, which corresponds to choice A.

A Population Has a Mean μ=17\mu = 17μ=17 And Standard Deviation σ=14\sigma = 14σ=14

A Population Has a Mean $\mu = 17$ And Standard Deviation $\sigma = 14$