Let \( X_1, X_2, ..., X_n\) be a random sample from a normal distribution with mean μ and standard deviation σ. Which of the following is NOT a sufficient statistic for μ?
1
∑(Xi) for i = 1 to n
2
∑(Xi - X̄)2 for i = 1 to n, where X̄ is the sample mean
3
min(Xi) for i = 1 to n
4
max(Xi) for i = 1 to n