1. Which of the following statements is NOT true about Central Limit Theorem?

a. The population mean and the mean of the sampling distribution of the means are equal.

b. If you take repeatedly independent random samples of size n from any population, then when n is large, the distribution of the sample means will approach a normal distribution.

c. The central limit theorem tells us exactly what the shape of the distribution of the means will be when we draw repeated samples from a given population.

d. The mean of the sampling distributions of the means, the standard deviation of the sampling distribution of the means, and variance is the same as the population means, variance of the population, and standard deviation.

2.Consider the population consisting of values {2, 4, 6}. List all the possible samples of size 2 which can be drawn with replacement.

A. {2,4,6}

B. {(4,2),(4,4),(4,6),(6,2),(6,4),(6,6)

C. {(2,2),(2,4),(2,6) ,(4,2),(4,4),(4,6)}

D. {(2,2),(2,4),(2,6),(4,2),(4,4),(4,6),(6,2),(6,4),(6,6)}

1. If the population has a variance of 4.6, what is the variance of the sampling distribution of its means if the sampling distribution was derived with sample size n = 2 and all possible samples are drawn with replacements?

A. 21.16B. 19.22C. 10.58D. 2.3

NOTE: I DONT NEED EXPLANATION.JUST THE CORRECT LETTER

B.

For items 14-15, refer to the diagram below. 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14. What is the value of Ux? A. 5 B. 7 C. 9 D. 11 15. How dispersed are the scores from the mean? A.5 B. 7 C. 9 D. 11For items 10 -11, refer to the diagram below. 3 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 10. What is the value of #,? A. 4 B. 5 C. 6 D. 7 11. How dispersed are the scores from the mean? A. 5 B. 6 C. 7 D. 8 For items 12 -13, refer to the diagram below. 3 6 12 15 18 21 12. What is the value of #x? A. 6 B. 9 C. 12 D. 15 13. How dispersed are the elements from the mean? A. 9 B. 12 C. 15 D. 18