Question 8.208

31. Refer to Exercise 29.

  1. Write a sentence describing what happens to the margin of error as the sample size increases while remains constant.
  2. What effect will the behavior you observed in (a) have on the width of the confidence interval?

8.3.31

(a) Since the margin of error is , an increase in the sample size while remains constant results in a decrease in the margin of error. (b) Since the width of the confidence interval is 2 , an increase in the sample size while remains constant results in a decrease in the width of the confidence interval.