I understand that this is going to be awkward, especially for the low performers, but at the moment I don't think our interview practices are based on anything. We ask questions and then later have a conversation about how and whether or not our questions revealed the presence of the attributes we were supposed to be assessing for and it feels very made up and make believe. Plus, people could be given incentives for going through the process and bonuses for passing the mock interviews to encourage them to try
If we could get people where we already knew how good or bad they were to rerun the interview process then we could start to figure out which questions and which evaluation methods were useful in separating good candidates from poor ones.
Of course, you'll just find out that there's practically no correlation.. Some of the least useful teammates I ever had ended up at Google, and one of the best programmers I've ever met makes $10/hour at a fucking call center out in the middle of nowhere
This is the same problem you see with people claiming that GPA or GRE scores have no or negative correlation with academic success.
A person in your company, after having read the problem and glancing at the rough description figures out a clean solution in time X. That's without the interview stress, knowledge of the problem domain, with the pacing of the problem laid out in writing. A well-performing candidate coming in cold, stressed from the interview setup and under time pressure will take 3X time to solve it.
So if it takes much more than 10 minutes for someone at your company solve your proposed interview question reasonably well, it's almost certainly too difficult.