In: Math
What z-score value separates the highest 10% of the scores in a normal distribution from the lowest 90%?
a. z=1.28
d. z=0.25
c. z=-1.28
d. z=-0.25
The Z-score which differentiates the highest 10% from the lower 90% has to have a score "c" such that:
P(X<c) = .90
We look up the Z tables to get the following as Z score:
so, c = 1.282
Hence, the answer is a. Z = 1.28