6. If a population has a mean of 12.8, what is the mean of the sampling distribution?
A. less than 12.8
B. larger than 12.8
C. closer to 12.8
D. exactly the same as 12.8

7. If the mean of the sampling distribution of the means is 6.5, which of the following
statements best describe the population mean?
A. The population decreases by 6.5.
B. The population is greater than 6.5.
C. The population mean is also equal to 6.5.
D. The population mean and mean of the sampling distribution of the means
cannot be compared

8. 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.

9. Consider the population consisting of values {2, 4, 6). List all the possible samples of size 2 which can be drawn with replacement. (2 Points)
A. (2,4,6)
B. f(4,2),(4,4),(4,6),(6,2),(6,4),(6,6)
C. {(2,2),(2,4),(2,6),(4,2),(4,4),(4,613
D. {(2,2),(2,4),(2,6),(4,2),(4,4),(4,6),(6,2),(6,4),(6,6)}

10. 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. 21.16
B. 19.22
C. 10.58
D. 2.3

11. If a population has a mean of 16.7, what is the mean of the sampling distribution? A. less than 16.7
B. larger than 16.7
C. closer to 16.7
D. exactly the same as 16.7

12. If the mean of the sampling distribution of the means is 29.2, which of the following statements best describes the population mean?
A. The population decreases by 29.2 B. The population is greater than 29.2 C. The population mean is also equal to 29.2
D. The population mean and mean of the sampling distribution of the means cannot be compared.

13. As the sample size n increases, the mean of the sampling distribution
A. increases
B. decreases
C. stays the same
D. not enough information is given

14. Consider the population consisting of values (1, 3,5). List all the possible samples of size 2 which can be drawn without replacement.
A. {1,3,5)
B. {(3,1), (5,1), (5,3}}
C. {(1,2), (1,3), (1,5), (3,1), (3,3), (3,5)}
D. {(1,1), (1,3), (1,5), (3,1), (3,3), 3,5), (5,1), (5,3), (5,5)}

15. If the variance of a certain probability distribution is 16, find its standard deviation.
A 1
B. 2
C. 3
D. 4


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