Question

Problem 82c

Answer 1

Given information

Given that Ricardo and Anita attend different colleges. Ricardo’s GPA is the same as the average GPA at his school. Anita’s GPA is 0.70 standard deviations above her school average. We have to explain the following statement Anita is in the 70th percentile of students at her college is false.

 

Step-by-step explanation

Step 1.

According to the given information, Ricardo’s GPA is the same as the average GPA at his school. Anita’s GPA is 0.70 standard deviations above her school average.

 

The standard score or z-score can be measured by using the formula:

 

where is the actual score and are the average score and standard deviation of the particular school.

 

So Ricardo's actual score is and the z-score is 0.

 

Anita's actual score is and the z-score is 0.7.