Question

Answer the following questions with this scenario:

A school district runs a gifted language program in fifth grade with a selection criterion of 97th percentile. That is, students who score at 97th percentile or above on a standardized language test are eligible for the gifted program.

Question A:

What is the probablility of randomly drawing a student from the whole population of fifth-graders that would meet the selection criterion for the gifted program? Explain how you determined the answer.

Question B:

IF the district has 400 fifth-graders in total, how many will be eligible for the gifted program?

Questions C:

If we use a Z distribution to represent all the test scores from the fifth-graders, what is the Z-score that serves as the critical (or cutoff) value for determining eligibility for the gifted program?

Answer 1