Which of the following is true about the sampling distribution of means? A. Shape of the sampling distribution of means is always the same shape as th

Cem Hayes 2021-03-09 Answered
Which of the following is true about the sampling distribution of means?
A. Shape of the sampling distribution of means is always the same shape as the population distribution, no matter what the sample size is.
B. Sampling distributions of means are always nearly normal.
C. Sampling distributions of means get closer to normality as the sample size increases.
D. Sampling distribution of the mean is always right skewed since means cannot be smaller than 0.
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Expert Answer

un4t5o4v
Answered 2021-03-10 Author has 105 answers
Step 1
According to central limit theorem, sampling distribution of means approaches normal when the sample size increases.
Step 2
Therefore Sampling distributions of means get closer to normality as the sample size increases.
Option C is correct.
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Jeffrey Jordon
Answered 2021-10-06 Author has 2070 answers
When the sample size is sufficiently large, obviously the sampling distributions get closer to normality. So option d is the correct answer.
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Which of the following is true about the sampling distribution of means?
Sampling distribution of the mean is always right skewed since means cannot be smaller than 0.
Shape of the sampling distribution of means is always the same shape as the population distribution, no matter what the sample size is.
Sampling distributions of means get closer to normality as the sample size increases.
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