Which of the following statements are true? I. The sampling distribution of ¯ x

Question

Which of the following statements are true? I. The sampling distribution of ¯ x has standard deviation n even if the population is not normally distributed. II. The sampling distribution of ¯ x is normal if the population has a normal distribution. III. When n is large, the sampling distribution of ¯ x is approximately normal even if the 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.

Explanation / Answer

If the population has normal distribution or n is large, the distribution of sample mean becomes approximately normal.

Hence,

Option C is correct.

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.