Question

What is the z-score that separates the highest 30% from the rest of the distribution?

a) -0.12
b) -0.39
c) 0.52
d) 0.39

Answer 1

The z-score that separates the highest 30% from the rest of the distribution is -0.52.

Step-by-step explanation:

The z-score that separates the highest 30% from the rest of the distribution can be found by looking up the area under the normal curve in a z-table. Since we want to find the z-score that separates the highest 30%, we need to find the z-score that corresponds to an area of 0.70 to the left. The closest z-score to this is -0.52, so the correct answer is c) -0.52.