In constructing the confidence interval with known population standard deviation the sample size is increased from n=36 to n=144 while the confidence level is held fixed at 95%. This will
(a) increase the width of the confidence interval making the estimate less precise.
(b) decrease the width of the confidence interval making the estimate less precise.
(c) leave the width of the confidence interval unchanged.
(d) double the width of the confidence interval.
(e) decrease the width of the confidence interval making the estimate more precise.