Design an experiment to evaluate the causal impact of a new employee training program on productivity.

To begin with, the core of our experimental design hinges on the Randomized Controlled Trial (RCT), the gold standard for causal inference. The essence of an RCT is to randomly assign participants into two groups: one will receive the intervention (the new employee training program), and the other will serve as the control group, receiving no intervention or the standard training protocol. This random assignment helps ensure that any other variables that could influence productivity are equally distributed across both groups, effectively isolating the effect of the training program itself.

Productivity, the outcome we're interested in measuring, must be quantitatively defined to ensure precise evaluation. For the purposes of our experiment, let's define productivity as “the average amount of output per hour worked.” This could be measured using a combination of metrics such as the number of tasks completed, the quality of work produced (possibly rated by...