Which of the following descriptions about Central Limit Theorem is NOT essential? A. The larger the sample, the better approximation will be. B. The smaller the sample, the bigger the approximation will be. C. When the original variable is normally distributed, the distribution of the sample means will be normally distributed for any sample size n. D. When the distribution of the original variable might not be normal, a sample size of 30 or more is needed to use a normal distribution to approximate the distribution of the sample means.

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Which of the following descriptions about Central Limit Theorem is NOT essential?
A. The larger the sample, the better approximation will be.
B. The smaller the sample, the bigger the approximation will be.
C. When the original variable is normally distributed, the distribution of the
sample means will be normally distributed for any sample size n.
D. When the distribution of the original variable might not be normal, a sample
size of 30 or more is needed to use a normal distribution to approximate the
distribution of the sample means.
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)}
Transcribed Image Text:Which of the following descriptions about Central Limit Theorem is NOT essential? A. The larger the sample, the better approximation will be. B. The smaller the sample, the bigger the approximation will be. C. When the original variable is normally distributed, the distribution of the sample means will be normally distributed for any sample size n. D. When the distribution of the original variable might not be normal, a sample size of 30 or more is needed to use a normal distribution to approximate the distribution of the sample means. 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)}
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