Question

Missy took the ACT and was told her standard score (z-score) is –1. Frank took the SAT and was told his standard score (z-score) is –2. Which student has a better chance of getting admitted to college based on their test score?

a. Missy
b. Frank
c. Impossible to tell; we need to know their actual scores on the exam.

Answer 1

a. Missy

Explanation:

The z-score is how manu standard deviations a measure of normally distributed random variable is above or below the mean.

A negative z-score indicates that the measure is below the mean.

A positive z-score indicates the measure is above the mean.

In this problem, we have that:

Missy has a higher z-score than Frank. This means that he had a better relative score on her exam than Frank

So the correct answer is:

a. Missy