2. A psychologist is interested in testing the effect of sleep on test scores. He surveys 10 students and asks them how many average hours they slept in a semester and their average grade on a test in a semester. Recorded responses are presented below. (35pts) Is there an association between how many hours a student slept in a semester and their average test score in a semester? Hours Slept Test Scores 8 86 90 71 6 75 68 92 10 95 60 38 6 83 A. Which statistical tests would you perform for this problem? (10pts) B. Please write a sentence in which you describe the association between hours exercised and hours slept (include the appropriate statistical notation related to this problem). (10pts) C. Can you run a regression for this problem? Please write yes or no as your answer. (5pts) D. After determining if you can run regression for this problem, please answer the following question. If you cannot run a regression for this problem, write "cannot run a regression". (10pts) If a student slept 6.5 hours per semester, what would their average test grade be? Please show your work at how you arrived at your answer for full credit. Please also write a sentence describing your answer. E. Write out the complete statistical analysis and interpretation for extra credit. (5pts)