If a variable is normally distributed with a hypothesized mean (μ) of 32 and a standard deviation (σ) of 5, what is the z-score for a raw score (X) of 41?
A) z = 1.80
B) z = -1.80
C) z = 46.41
D) z = 9

Question

If a variable is normally distributed with a hypothesized mean (μ) of 32 and a standard deviation (σ) of 5, what is the z-score for a raw score (X) of 41?
A) z = 1.80 
B) z = -1.80
C) z = 46.41
D) z = 9

Quizplus · Accepted Answer

The formula for calculating z-score is:
z = (X - μ) / σ
Plugging in the values given in the question, we get:
z = (41 - 32) / 5
z = 1.80
Therefore, the z-score for a raw score (X) of 41 is 1.80, which corresponds to option A.

If a Variable Is Normally Distributed with a Hypothesized Mean