Sample size and margin of error. The margin of error for a confidence interval depends on the confidence level, the standard deviation, and the sample size. Fix the confidence level at 95% and the standard deviation at 1 to examine the effect of the sample size.
Find the margin of error for sample sizes of 5 to 100 by increments of 5-that is, let n = 5, 10, 15,..., 100. Plot the margins of error versus the sample sizes and summarize the relationship.