Ok, to bound the question further, what is the probability that 20 people have no birthdays for 124 CONSECUTIVE days of the year (any 124 consecutive days, to avoid the post-hoc errors plasmid describes).
I'm looking for some explanation 1. is this distribution unlikely (how unlikely) 2. why/how could this happen - self-selection through interviews...
I'm baffled. This is the office where I work, and I know it's statistically significant, but don't know how unlikely this is. I'm also curious what could cause this? Is this a known trait of other offices or social groups?
Gladwell's book talks about athletes getting selected for size, which means almost all NHL players are born during 3 months. However, I can't think of anything in an office that would anti-select for 4 months of the year, especially given that the office is mixed gender and mixed nationality and mixed ethnicity.
What's going on here?