The company where I work created a new position to gather and present internal statistics for use in forecasting and project management and other things. This newly created job required a degree in something, several years of experience in statistics, and several years of experience in the custom-built statistics engine and toolset we had just created within our company. The product literally didn't exist a month prior to this job being created and it wasn't based on any off the shelf solution.
Also, it was going to pay a pretty low starting salary (we never pay new hires anything worth mentioning; if you can't actually speak any language and may or may not be legal, we love you but we won't pay you jack) and require relocating (not paid relocation mind you), in my case.
My bosses boss put very strong pressure on me to apply for this job. They wanted to hire internally, you know. Not bring in a newbie. I refused on the grounds that the job requirements meant I didn't qualify -and in fact it was not possible for any living being short of a time lord to have had ANY experience with this toolset much less the years experience stipulated. The sort of network access needed to gather the raw numbers needed was also clearly impossible to get and nobody would lift a finger to help with something like this. I could see the fail written all over it, so I refused.
The eventually hired an intern or something. They quit after a week.