The highest-ranking detectives in the city’s police department are also the most adept at solving crimes. ███ ██ ████ ██ ███ ████ ███ ██████ ███ ███████ ███████ ████ ███ ███ ████████ ███████████████ ██████████ ██ ███████ ████████ █████ ███ ████ ██ ██████ ████ ███ ███████ ███████ ████ ███ ███ ██████████████ ███████████
The stimulus points out a surprising phenomenon: even though the highest-ranking detectives in the city's police department are the best at solving crimes, their rate of successfully solving cases in the last ten years has been no higher than the average success rate of the lowest-ranking detectives in the department.
The comparison between the success rates of the highest-ranking and lowest-ranking detectives is only surprising if we assume that they are facing cases of a similar level of difficulty. We can assume that if a high-ranking detective and a low-ranking detective were each given ten cases of the same level of difficulty, the high-ranking detective would have a higher rate of success than the low-ranking detective.
But it would make sense for the highest-ranking detectives to be assigned the most difficult cases — i.e., the hardest ones to solve. In that case, the fact that their success rate in solving such cases is no higher than the success rate of the lowest-ranking detectives for their (presumably less difficult) cases would say more about the difficulty of the cases than about the ability of the detectives. So learning about the relative difficulty of these cases would provide a straightforward way to resolve the tension in the stimulus.
Analysis by ArdaschirArguelles
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