Although high school grades and testing scores, such as

Chapter 9, Problem 11E

(choose chapter or problem)

Although high school grades and testing scores, such as SAT or ACT, can be used to predict first-year college grade-point average (GPA), many educators claim that a more important factor influencing GPAis the living conditions of students. In particular, it is claimed that the roommate of the student will have a great influence on his or her grades. To test this hypothesis, suppose we selected at random 200 students and classified each according to the following two attributes:

(a) Ranking of the student’s roommate on a scale from 1 to 5, with 1 denoting a person who was difficult to live with and discouraged scholarship, and 5 signifying a person who was congenial and encouraged scholarship.

(b) The student’s first-year GPA. Say this classification gives the following \(5 \times 4\) contingency table:

Compute the chi-square statistic used to test the independence of the two attributes, and compare it with the critical value associated with \(\alpha=0.05\).

Equation Transcription:

Text Transcription:

5x4

alpha=0.05