Q36Section B (Section B)36 of 60

Sufficient statistics for the mean of a normal distribution

Let $X_1,…,X_n$ be a random sample from a $N(\theta,1)$ population, where $-\infty<\theta<\infty$ is unknown. Which of the following statistics is (are) sufficient for $\theta$ ?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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