Final answer:
The total number of treatments in the drug experiment, considering both dosage levels and methods of administration, is 12.
Step-by-step explanation:
In an experiment testing a new drug with variables including dose amount and method of administration, the number of treatments can be calculated by multiplying the number of options for each variable. There are four dosage options (5, 10, 15, or 20-mg) and three methods of administration (pill, skin patch, nasal mist). To find the total number of treatments, we multiply the number of dosages by the number of methods of delivery. Thus, the number of treatments is 4 (dosages) × 3 (methods) = 12 treatments.