Which of the following statements are true? I. The sampling distribution of x̄ has standard deviation σ/√n even if the population is not normally distributed. II. The sampling distribution of x̄ is normal if the population has a normal distribution. III. When n is large, the sampling distribution of x̄ is approximately normal even if the population is not normally distributed.
A. I and II
B. I and III
C. II and III
D. I, II, and III
E. None of the above gives the complete set of true responses.