Cem Hayes

2021-03-09

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.

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.

un4t5o4v

Skilled2021-03-10Added 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.

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.

Jeffrey Jordon

Expert2021-10-06Added 2605 answers

When the sample size is sufficiently large, obviously the sampling distributions get closer to normality.
So option d is the correct answer.

Jazz Frenia

Skilled2023-06-19Added 106 answers

Andre BalkonE

Skilled2023-06-19Added 110 answers

xleb123

Skilled2023-06-19Added 181 answers

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