I'm currently without direction in this problem and need guidance as to whether what I'm attempting is possible.
I'm attempting to derive the length of a specific task from employee supplied data. Lets assume there are multiple tasks an employee performs throughout the day, and they occasionally report the tasks accomplished along with how long the collective tasks took to complete. Is it possible, with enough data, to identify the approximate true length of each task?
For example lets say that the true length of changing a garbage is 2 minutes (very short). When an employee claims they have performed a garbage swap alongside other tasks, and provides an accurate time it took to complete the group of tasks, if we average the time taken to complete all tasks by the number of tasks performed we should arrive at an average which "pulls" towards two minutes.
Now say we don't know the true value of changing a garbage, but we have numerous employee submissions which involve changing the garbage, and are thusly "pulled" towards the true value. This average should, given enough data, be lower than the mean time of all tasks. Is there any formula or computation which allows for the approximation of the tasks true length when compared to the average of all tasks?