Problem 2: 20 points total In a study reported in Computers in Human Behavior ("Facebook and Academic Performance", 2010), researchers investigated the relationship between college GPA and Facebook use. One question the researchers were hoping to answer was whether the "average" college GPA for students who use Facebook is lower than the "average" college GPA for students who do not use Facebook. Two samples (141 students who were Facebook users and 68 students who were not Facebook users) were independently selected from students at a large, public Midwestern university. The data in the facebook data set are not exactly the same as in the article, but are very similar. Use the data in this data set to answer the following questions. 8. (2 points) Which of the following is the most appropriate hypothesis test to use in this problem: paired test or two-sample test? Why? 9. (3 points) State the null and alternative hypotheses in notation. Define the notation! 10. Obtain and include a properly labeled appropriate graphical display that shows the comparison of college GPAs between Facebook users and non-Facebook users in the sample. a. (1 point) Include the properly labeled graph here. b. (2 points) Is it appropriate to use the t-methods in this problem? Briefly explain. c. (2 points) Do you feel the null hypothesis will be rejected based on your graphical display? Why or why not?1