I have a team which works on online jobs; their productivity is measured in terms of the number of jobs completed per hour. The team has been given a goal for this metric. Let's call the task as Task X and the metric Tasks Per Hour (TPH).
The jobs are assigned to each team member through an online queueing system. The team is pretty large (~800). Their primary task is something else (Task Y) and the Task X is secondary for them. The secondary task (Task X) is less than 10% of the main task (Task Y). The queueing system sends both Task X and Task Y randomly to each team member. Due to the large size of the team, the number of secondary tasks assigned to each team member is typically small (4-5 per shift); however, creating a smaller team to handle this secondary task is not feasible due to certain business restrictions.
Recently, the team's TPH for Task X (the secondary task) has consistently been below the goal set for them. I have to find answers to the following:
a) Is the current productivity goal correct or is there a need to change it?
b) If there is a need to relax the productivity goal, what should it be?
I am looking for guidance on the statistical tests / tools which can be employed to undertake these tests. I have access to the performance of the team in both primary and secondary tasks.
Thanks in advance!