5. Researchers have developed a new computer-based self-paced course to teach algebra to students of varying ability. To test the effectiveness of the new method, researchers will administer a pretest to 60 students taking part in the study. Half the students will be taught algebra in a traditional classroom, while the other half will receive instruction via the new method. A post-test will be given to all students upon completion of their instruction, and post-test results will be compared to pre-test results. A. Is this an observational study or an experiment? B. Explain how you would randomize. That is, how would you decide which children get taught with which method? C. Imagine that researchers believe that children with high math ability are more likely to excel with this program than those with low math ability. Describe a matched-pairs design that could be used to test the researchers' belief.