Answer: ANOVA
Step-by-step explanation:
The statistical procedure that a college admissions office would use if they wanted to know if doing physical exercises can help the same group of students improve their GPA is the ANOVA.
Analysis of variance is used to know whether the means there's a significant difference between two or more groups. Different sample means will be compared in order to checks the effect of the factors involved. Based on the question above, the null hypothesis will be that physical activity doesn't have a significant relationship with the GPA of the college students.