7.122 Sample size and margin of error. The margin of error for a confidence interval for μ depends on the confidence level, the sample standard deviation s, and the sample size. Fix the confidence level at 95% and the sample standard deviation at s = 1 to examine the effect of the sample size. Find the margin of error for sample sizes of 11 to 101 by 10s—that is, let n = 11, 21, 31, . . . , 101. Plot the margins of error versus the sample size and summarize the relationship.