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

The z-score for X = 55 is (55 - 50) / 10 = 0.5. The corresponding score in the original distribution is 0.5 * 6 + 37 = 43.

Using Z?scores, a Population with µ = 37 and σ