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Psychological Statistics (Spring 2021 - 31) Homework 9 (Chapter 15) - Problem 2 Pearson's r (Ch. 15) - Problem #2 Study Description Bellow are data from a correlational study exploring the relationship between anxiety level and test performance. A total of n = 5 students participated. The participants are asked to come to the laboratory 15 minutes before the final exam. For each participant, the psychologist records a physiological measure of anxiety. In addition, the psychologist obtains the exam score for each participant. Conduct a Pearson's r, with alpha set at 0.05 (two-tails), to determine if there is a relationship between anxiety level and test performance. Table Person Anxiety (X) X2 Exam Grades (Y) Y2 XY A 71 79 75 UNWa 75 75 EX = CX2 = EY = EY? = EXY = Scatter Plot 8 72 1 2 3 4 5 6 7 X Pearsons r . SP = EXY - EXCY . SS. = EX? _ [XX) n . SS, = EY? _ [CY) SP . r = /SS SS Critical Value of r . Critical Value (Table B.6 p. 709) df = n - 2 Conclusion