Let X1, · · · , Xn be a simple random sample from some finite population of values {x1, · · · xN }.
Is the estimate $$\frac{1}{n} \sum_{i}^{n} f(Xi)$$ always unbiased for $$\frac{1}{N} \sum_{i}^{N} f(xi)$$ no matter what f is?My thinking: I don't think all f's are unbiased, because not all...