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. Answer the following question based on this scenario. a. What is the probability 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. b. If the district has 500 fifth-graders in total, how many will be eligible for the gifted program? 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 this “significant” portion of students who will be eligible for the gifted program?
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. Answer the following question based on this scenario.
a. What is the probability 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.
b. If the district has 500 fifth-graders in total, how many will be eligible for the gifted program?
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 this “significant” portion of students who will be eligible for the gifted program?
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