A study was to be conducted at the San Mateo County Health Center in California, in which marijuana would be dispensed to 60 AIDS patients for pain management. Suppose patients were asked to report their level of pain on a scale of 0 to 10, and scores were compared for patients receiving marijuana and another group of patients receiving more conventional pain medication.
a. Is the variable for pain quantitative or categorical, and which role is it playing (explanatory or response)?
b. Is the variable for treatment quantitative or categorical, and which role is it playing (explanatory or response)?
c. The goal of the study was to see if, in general, marijuana could be helpful in pain management for any AIDS patient. Is this focusing on data production, displaying and summarizing, probability, or statistical inference?