27) Which of the following statements is consistent with the Central Limit Theor

Question

27) Which of the following statements is consistent with the Central Limit Theorem?

A. If a population has µ and s, a sample from that population will be normally distributed if the sample size is large enough.
B. When µ and s are known, the population will be approximately normally distributed.
C. Means of samples of n=30 from an exponential distribution will be approximately normally distributed.
D. When we know s, the variation in the sample means will be equal to that of the population.



28) The expected value of the sampling distribution of the sample mean equals the population mean

A. when the population is symmetric.
B. when the population is normally distributed.
C. for all populations.
D. when the population size N > 30.



29) The use of the student’s t distribution requires which of the following assumptions?

A. The population variance is known
B. The sample size is greater than 30
C. The sample is drawn from a positively skewed distribution
D. The population is normal



30) Ceteris paribus, which is narrower, a 95% confidence interval with n=100 or a 99% confidence interval with n=30?

A. The 99% confidence interval
B. The 95% confidence interval
C. Need the margin of error to tell
D. They are the same width.

Explanation / Answer

(27)C. Means of samples of n=30 from an exponential distribution will be approximately normally distributed. (28)C. for all populations. (29)D. The population is normal (30)B. The 95% confidence interval

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

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