Final answer:
The response variable in this study is the gain in muscle mass during the 12-week period, which is a quantitative variable. The type of drink the young men consumed after exercising is a categorical variable.
Step-by-step explanation:
The response variable in this study is the gain in muscle mass during the 12-week period. It is a quantitative variable because it represents a measurable quantity, in this case, the increase in muscle mass.
The type of drink the young men consumed after exercising is the categorical variable. It is not the response variable in this study, but rather an explanatory variable being compared to see its effect on the gain in muscle mass.
Therefore, the response variable is quantitative (the gain in muscle mass) and the type of drink consumed is categorical.