Question
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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