For a recent English exam,use the Normal model N(73,9.2)to find the score that represents the 60th percentile.
A)75.3
B)70.7
C)82.2
D)63.8
E)43.8

Question

Quizplus · Accepted Answer

To find the score that represents the 60th percentile, we need to find the z-score that corresponds to the 60th percentile and then use the z-score formula to find the raw score.

First, we need to find the z-score using the standard normal distribution table or a calculator:

z = invNorm(0.6) = 0.253

Next, we use the z-score formula to find the raw score:

z = (x - μ) / σ

0.253 = (x - 73) / 9.2

x = 75.3

Therefore, the score that represents the 60th percentile is 75.3.

For a Recent English Exam,use the Normal Model N(73,9