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Useful output depends highly upon the nature of the work and how well-rested you are. I find myself capable of at most 4 hours of high-intensity programming per day, but easily capable of 10 hours of routine work. However, if I don't get at least 7 hours of sleep per night, I'm useless for most everything.

Commenting on the statistics themselves, though, I would very much like to see the data on working time disambiguated from the data on sleep. Perhaps the negative correlation between working hours and productivity stems from their mutual relation to sleep: it is not only possible, but probable that sleep declines about linearly with hours worked. I would argue that the difference in sleep is likely to make a far larger difference for the majority than the difference in the length of the workweek.

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