A variable is normally distributed with a hypothesized population mean of 30 and a standard deviation of 6. What is the z-score for a raw score (X) of 40?
A) z = -1.67
B) z = 1.67
C) z = 4.75
D) z = 45.25

Question

Quizplus · Accepted Answer

To find the z-score, we use the formula:
z = (X - μ) / σ
where X is the raw score, μ is the population mean, and σ is the standard deviation. Plugging in the given values, we get:
z = (40 - 30) / 6
z = 1.67
Therefore, the z-score for a raw score of 40 is 1.67, which is option B.

A Variable Is Normally Distributed with a Hypothesized Population Mean