In order to test the effects of listening to music while studying versus studying in silence, students agree to be randomized into two treatments (i.e._. study with music or study in silence). There are two exams during the semester. so the researchers can either randomize the students to study for one exam with music and the other with silence (randomly selecting which exam corresponds to which study environment) or the researchers can randomize the students to a single study habit for both exams. The researchers are interested in estimating the true population difference of exam score for those who listen to music while studying as compared to those who study in silence. a. Describe the experiment which is consistent with a paired designed experiment. Your description should say how the treatment is assigned and how the data are collected such that the observations are paired. b. Describe the experiment which is consistent with an independent samples experiment. Your description should say how the treatment is assigned and how the data collected such that the observations are independent