The following data relate the scores of 10 students on a college entrance examination to their…

The following data relate the scores of 10 students on a college entrance examination to their grade-point average at the end of their first year.

Entrance examination score

Grade-point average

88

3.2

74

2.7

70

2.3

77

2.9

83

2.8

94

3.6

92

3.0

81

2.8

85

3.3

92

3.1

(a) Predict the grade-point average of a student, not listed in the given data, who scored 88 on the entrance examination.

(b) Obtain a 90 percent prediction interval for the score of the student described in part (a).

(c) Test the hypothesis, at the 5 percent level of significance, that a student’s grade-point average is independent of her or his score on the entrance examination.

 

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