As the sample size increases, the variability among the sample means

A) increases.
B) decreases.
C) remains the same.
D) depends upon the specific population being sampled.

Question

As the sample size increases, the variability among the sample meansA)  increases.B)  decreases.C)  remains the same.D)  depends upon the specific population being sampled.

Michelle Seeger · Accepted Answer

Final Answer : B, Explanation :  As the sample size increases, the variability among the sample means decreases. This is due to the central limit theorem, which states that as sample size increases, the distribution of sample means approaches a normal distribution with less variance.

As the sample size increases, the variability among the sample means

A) increases.
B) decreases.
C) remains the same.
D) depends upon the specific population being sampled.

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