Answer:
A) The applicant's SAT z-score has to be positive and large.
Step-by-step explanation:
The zscore measures how much above or below the mean a value is in a normally distributed sample. The value can be a grade, for example.
In a set with mean and standard deviation
, the zscore of a measure X is given by
.
When the zscore of X is negative and large, this means that the grade is on the very low side(very below the mean).
When the zscore of X is negative and small, this means that the grade is on the low side(a bit below the mean).
When the zscore of X is close to 0, the grade is close to the mean.
When the zscore of X is positive and small, this means that the grade is on the high side(a bit above the mean).
When the zscore of X is positive and large(Z > 1), this means that the test score is on a very high side.
The problem states that:
To get admitted to top universities, the applicant's SAT (Scholastic Aptitude Test) score must be on a very high side. So, the correct answer is:
A) The applicant's SAT z-score has to be positive and large.