Using z-scores,a population with µ = 37 and σ = 6 is standardized so that the new mean is µ = 50 and σ = 10.After the standardization,one individual has a score of X = 55.What was this individual's score in the original distribution?
A)X = 40
B)X = 42
C)X = 43
D)Cannot be determined with the information given

Question

Quizplus · Accepted Answer

To find the original score, first calculate the z-score in the new distribution: z = (X - µ_new) / σ_new = (55 - 50) / 10 = 0.5. Then, use this z-score to find the original score: X_original = µ_original + z * σ_original = 37 + 0.5 * 6 = 40.

Using Z-Scores,a Population with µ = 37 and σ =