30. The X scores are match score for sets of roommates on the roommate questionnaire. Resident assistants observed roommates for two semesters .Y is the rating by the resident assistants on how well...

30. The  X scores are match score for sets of roommates on the roommate questionnaire. Resident assistants observed roommates for two semesters .Y is the rating by the resident assistants on how well the roommates got along. How well do the roommate questionnaire match scores predict roommate compatibility? Compute the Pearson correlation for the following data for a sample of n=5 student roommate pairs.

                X     Y

                2      3

                3      1

                6      5

                4      2

                5      4

b.Conduct a t-test to  determine if the population correlation between roommate questionnaire scores and roommate compatibility is greater than zero.  Show all steps