Suppose you wish to estimate the mean of a normal population with a 95% confidence interval and you know from prior information that s2 ≈ 1. LO6

a. To see the effect of the sample size on the width of the confidence interval, calculate the width of the confidence interval for n = 36, 64, 81, 225, and 900.

b. Plot the width as a function of sample size n on graph paper. Connect the points by a smooth curve, and note how the width decreases as n increases.