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)$\mu$= 42 and $\sigma$ = 4
B)$\mu$ = 43 and$\sigma$ = 2
C)$\mu$ = 40 and $\sigma$ = 8
D)$\mu$ = 41 and $\sigma$ = 6

Question

Quizplus · Accepted Answer

To find the mean (μ) and standard deviation (σ), use the z-score formula: z = (X - μ) / σ. For X = 44 and z = 0.5, and X = 50 and z = 2.0, solve the system of equations to find μ = 42 and σ = 4.

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

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