This appeared on a friends Stats 101 exam:
You have a random sample of 2000 respondents who's mean age is 47.3. A friend of yours, (who is knowledgeable about such things) claims that republican voters are, on average, older and demonstrate a mean age of 50. Using your data, demonstrate if he is correct, or incorrect to a 90% confidence level
The natural reaction for most of us here is that there isn't enough data in the question to even guess at the accuracy of the statement. When asked, the professor said "It isn't relevant to the problem".
Are we being trolled or is there a way, mathematically speaking, to state that there's insufficient information for a conclusion... or /gasp/ is there actually an answer ?
I just now saw that there is a stackexchange specifically for Stats :( If someone has the ability, I don't mind this being moved to a more appropriate forum.