A distribution has a mean of 1.57 with a standard deviation of 0.24.A z score of -0.62 converts into a raw score of _____, whereas a z score of 0.62 converts into a raw score of _____.
A) -1.42; 1.72
B) -1.81; -1.33
C) 1.42; 1.72
D) 1.81; 1.33

Question

Quizplus · Accepted Answer

The formula to convert a z-score to a raw score is X = μ + Zσ, where μ is the mean, σ is the standard deviation, and Z is the z-score. For a z-score of -0.62: X = 1.57 + (-0.62)(0.24) = 1.42. For a z-score of 0.62: X = 1.57 + (0.62)(0.24) = 1.72.

A Distribution Has a Mean of 1