Nursing rank coefficient computation

The Journal of Professional Nursing article titled “The Graduate Record Examination as an Admission Requirement for the Graduate Nursing Program” reported a significant correlation between undergraduate grade point average (GPA) and GPA at graduation from a graduate nursing program. The following data were collected on 10 nursing students who graduated from a graduate nursing program.

Undergrad GPA 3.5 3.1 2.7 3.7 2.5 3.3 3.0 2.9 3.8 3.2

GPA at Graduation 3.4 3.2 3.0 3.6 3.1 3.4 3.0 3.4 3.7 3.8

Compute the Spearman rank coefficient and test the null hypothesis of no relationship versus a positive relationship. Use a level of significance equal to 0.05