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Use the following to answer questions 1-11. Research question: Does restorative yoga lower perceived joint pain ratings in patients who have been diagnosed with psoriatic arthritis? Researchers plan to obtain data from 60 patients who have been diagnosed with psoriatic arthritis. They will randomly assign half of the participants to engaged in daily restorative yoga for one month. The other half will serve as a control group and will not change their daily exercise routines. Each patient will rate their perceived joint pain on a scale of 0 to 100 at the beginning of the study and again at the end of the month. 1. Is this an observational or experimental study? Explain how you determined this 2. What is the intended population in the study? Explain how you determined this. 3. What is the sample in the study? Explain how you determined this. 4. What are the explanatory and response variables in this study? Explain how you determined this 5. Is the explanatory variable you identified in question 4 a categorical or quantitative variable? Explain how you determined this 6. Is the response variable you identified in question 4 a categorical or quantitative variable? Explain how you determined this. 7. Describe how researchers could use a convenience sampling method to obtain a sample of 60 patients with psoriatic arthritis. In other words, describe the procedures of obtaining a convenience sample in this specific scenario. In this study, the researchers could obtain a convenience sample by.... 8. Describe how researchers could use a simple random sampling method to obtain a sample of 60 patients with psoriatic arthritis. In other words, describe the procedures of obtaining a simple random sample in this specific scenario. In this study, the researchers could obtain a simple random sample by.... 9. In order to obtain a sample that is representative of the intended population, should researchers use the convenience sampling method from question 7 or the simple random sampling method from question 8? Explain why 10. Suppose these researchers found that the restorative yoga group experienced a large decrease in joint pain ratings from the beginning to end of the month-long study while the control group experienced no change in joint pain ratings. Can the researchers conclude that restorative yoga caused perceived joint pain ratings to decrease? Explain why or why not