I am assigned with preparing and distributing a routine weekly financial report; my senior coworker is assigned with double checking it before I send it out.
My manager and the quality checker (senior team lead) usually communicate more frequently with each other than with me.
Today, the e-mail I sent had mistakes based on what the quality checker made. They were quite obvious mistakes anyone could have spotted had they re-read the whole report carefully. However, it is a very, very lengthy report, and basically the very last thing I receive before leaving the office; also, I have to distribute what he sends back to me at a very specific time, and end of day is when it's most chaotic and I have loads of new tasks coming in. There is very little or no time to re-read it.
In essence, there is a very brief and workload intensive timeframe between the moment I can start building the report (based on external news/data at a very specific time) and the moment I have to distribute the final version.
If I had to go above and beyond my responsibilities, I would always try to proofread it, but proofreading (for a second time) is not my basic responsibility. So I would not see it as my fault.
My manager asked me for an explanation of this mistake with the entire team CC'd (including the quality checker).
Should I reply with the whole story (pointing out specifically that the origin of the mistake was not mine but my senior coworker's)?