Question

A university 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 accompanying table shows the monthly starting salaries for FIVE graduates of the business school along with their corresponding GPAs. These data have a sample correlation​ coefficient, rounded to three decimal​ places, of 0.893. using α=0.05 if the population correlation coefficient between the starting salary and the gap of a university business graduate is greater ZERO.

Starting_Salary   GPA
2,500   3.2
2,900   3.4
2,600   2.7
3,100   3.7
2,100   2.5

what is the test statistic

T=

what is the p-vaule

p=

Answer 1

The statistical software output for this problem is:

Hence,

Test statistic (T) = 3.432

P-value = 0.0207