Generally, the larger the standard error, the less accurate the sample mean is as an estimate of the population parameter. In general, as sample size increases the standard error decreases

1. As the size of the random sample increases, the amount of sampling error of means decreases. 2. As the variability in the population increases, the amount of sampling error of means increases

 

.The relationship between margin of error and sample size is simple: As the sample size increases, the margin of error decreases. … If you think about it, it makes sense that the more information you have, the more accurate your results are going to be (in other words, the smaller your margin of error will get