The the sample size and the the variability of scores, the more accurately a sample mean will estimate a population mean.
A)smaller; larger
B)larger; smaller
C)smaller; smaller
D)larger; larger

Question

Quizplus · Accepted Answer

According to the central limit theorem, as the sample size increases, the distribution of sample means becomes more normal, and the standard error of the mean decreases, leading to a more accurate estimation of the population mean. Additionally, a larger variability of scores in the population can also reduce the accuracy of the sample mean as an estimator of the population mean. Therefore, a larger sample size and a smaller variability of scores would lead to a more accurate estimation of the population mean.

The the Sample Size and the The Variability of Scores