I am planning a study and are considering taking an SRS of either 100 or 1,000 o

Question

I am planning a study and are considering taking an SRS of either 100 or 1,000 observations. Which of the explanation on how the sampling distribution would differ for these two scenarios is appropriate?

a. The larger sample would have less sampling variability.

b. The smaller sample would have less sampling variability.

c. The larger sample would have a center closer to the true population parameter.

d. The statistics of the larger sample have more chance for bias than those of the smaller sample.

And can you tell me why the other choices are wrong?

Explanation / Answer

considering taking an SRS of either 100 or 1,000 observations.

Answer : The larger sample would have a center closer to the true population parameter.

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