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A college admissions office is trying to determine if there is a linear correlation between a student's high school grade point average and the grade

A college admissions office is trying to determine if there is a linear correlation between a student's high school grade point average and the grade point average the student earns during his or her first year in college. A sample of 10 students is taken, yielding the following:

High School GPA

First-Year College GPA

2.4

2.6

2.9

2.2

2.8

2.7

2.7

2.5

3.6

3.0

3.2

2.9

2.9

2.7

3.6

3.1

3.4

3.0

3.9

3.3

Use a hypothesis test to test for a linear correlation between high school GPA and first-year college GPA. Use 0.05 as the significance level. Be sure to report the p-value. Write a sentence interpretation specific to this problem.

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