In a population of scores,X = 44 corresponds to z = +0.50 and X = 50 corresponds to z = +2.00.What are the values for the population mean and standard deviation?
A)µ = 42 and Ϭ = 4
B)µ = 43 and Ϭ = 2
C)µ = 40 and Ϭ = 8
D)µ = 41 and Ϭ = 6

Question

Quizplus · Accepted Answer

The z-score formula is z = (X - µ) / σ, where X is the score, µ is the mean, and σ is the standard deviation. For X = 44, z = 0.50, and for X = 50, z = 2.00, solving the equations simultaneously gives µ = 42 and σ = 4.

In a Population of Scores,X = 44 Corresponds to Z