A population with μ = 59 and s = 8 is standardized to create a new distribution with μ = 100 and s = 20.After the transformation,an individual receives a new score of X = 90.The original score for this individual was X = 51.

Question

Quizplus · Accepted Answer

We can use the formula for standardization:

z = (x - μ) / s

For the original distribution: 
z = (51 - 59) / 8 = -1

For the new distribution: 
90 = (x - 100) / 20 
x = 490

Now we can standardize this score in the new distribution: 
z = (490 - 100) / 20 = 19

Therefore, the statement is false. The new score of X = 90 corresponds to a much higher standard score than the original score of X = 51.

A Population with μ = 59 and S = 8