In 1951, I found a book, Facts into Figures, by F. J. Moroney, a British communications engineer.Moroney stated this problem. I solved it incorreclty, making the typical error.
In 53 years of submitting this problem to students and others, I discovered only one parson (a statistician, in 2004) who solved it correctly, but only by one of the two standard methods for solving it.
This is part of my claim that it "baffles the Naiton".