I If a Population Is Not Normally Distributed, the Sampling

question 44

Multiple Choice

i. If a population is not normally distributed, the sampling distribution of the sample means tends to
Approximate a normal distribution.
ii. The Central Limit Theorem states that if the sample size n is sufficiently large, the sampling
Distribution of the means will be approximately normal no matter whether the population is normally
Distributed, skewed, or uniform.
iii. Based on the sampling distribution of the means and the central limit theorem, the sample mean
Can be used as a good estimator of the population mean, assuming that the size of the sample is
Sufficiently large.

• A) (i), (ii), and (iii) are all correct statements.
• B) (i) is a correct statement, but not (ii) or (iii).
• C) (ii) is a correct statement, but not (i) or (iii).
• D) (ii) and (iii) are correct statements but not (i).
• E) (i), (ii), and (iii) are all false statements.

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