The University of Delaware would like to describe the relationship between the GPA and the starting monthly salary of a graduate who earned a business degree from the university. The following table shows the monthly starting salaries for eight graduates of the business school along with their corresponding GPAs. These data can also be found in the Excel file monthly salary. xlsx.

a. Calculate the Spearman rank order correlation coefficient.
b. Using α = 0.05, perform a hypothesis test to determine if the population rank correlation coefficient is greater than zero.

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Starting Salary (S) 2.600 2,900 2.500 2,600 3,000 2,900 2,200 2,400 GPA 3.2 3.4 2.6 3.5 3.7 4.0 2.5 3.3