Samples of two different types of automobiles were selected, and the actual speed for each car was determined when the speedometer registered 50 mph. The resulting 95% confidence intervals for true average actual speed were (50.7, 52.1) and (49.7, 50.9). Assuming that the two sample standard deviations are identical, which confidence interval is based on the larger sample size?

(49.7, 50.9) or

(50.7, 52.1) Explain your reasoning.

As the sample size increases, the width of the interval increases. or

As the sample size increases, the width of the interval decreases.