Please Lie More Carefully
I’m not saying textbook problems have to use real-world data. In fact, as far as I’m concerned, there’s way too much emphasis on “applications” in college maths (and below). But.
For heck sake, when you make stuff up, do it carefully enough that it isn’t obviously impossible. I’ve just come from working with a statistics student. We were supposed to test the claim that a certain population proportion was 10% against a sample proportion of 13%, based on n= 57 data points (at some stated confidence level that I’ve forgotten). But wait a minute. You can’t get 13% from a sample of 57 subjects: (i.e., 12%) and (i.e., 14%). Now, this is from a textbook. You should see some of the nonsense the actual instructors make up. And what I am saying is: quit telling stupid lies. Or become an administrator or something.