In: Statistics and Probability
1. An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiveness of the new method was evaluated in a simulation study. In 50 simulations, the mean improvement in traffic flow in a particular intersection was 653.5 vehicles per hour, with a standard deviation of 311.7 vehicles per hour.
Find a 95% confidence interval for the improvement in traffic flow due to the new system. Round the answers to three decimal places.
a. The 95% confidence interval is (_,_ ).
b. Find a 98% confidence interval for the improvement in traffic flow due to the new system. Round the answers to three decimal places.
The 98% confidence interval is (, ).
c. A traffic engineer states that the mean improvement is between 581 and 726 vehicles per hour. With what level of confidence can this statement be made? Express the answer as a percent and round to the nearest integer.
The level of confidence is_ %.