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Drivers’ use of the Lincoln Tunnel. The Lincoln Tunnel
Chapter 7, Problem 128SE(choose chapter or problem)
Problem 128SE
Drivers’ use of the Lincoln Tunnel. The Lincoln Tunnel (under the Hudson River) connects suburban New Jersey to midtown Manhattan. On Mondays at 8:30 a.m., the mean number of cars waiting in line to pay the Lincoln Tunnel toll is 1,220. Because of the substantial wait during rush hour, the Port Authority of New York and New Jersey is considering raising the amount of the toll between 7:30 and 8:30 a.m. to encourage more drivers to use the tunnel at an earlier or later time. Suppose the Port Authority experiments with peak-hour pricing for 6 months, increasing the toll from $4 to $7 during the rush hour peak. On 10 different workdays at 8:30 a.m. aerial photographs of the tunnel queues are taken and the number of vehicles counted. The results follow:
Analyze the data for the purpose of determining whether peak-hour pricing succeeded in reducing the average number of vehicles attempting to use the Lincoln Tunnel during the peak rush hour.
Questions & Answers
QUESTION:
Problem 128SE
Drivers’ use of the Lincoln Tunnel. The Lincoln Tunnel (under the Hudson River) connects suburban New Jersey to midtown Manhattan. On Mondays at 8:30 a.m., the mean number of cars waiting in line to pay the Lincoln Tunnel toll is 1,220. Because of the substantial wait during rush hour, the Port Authority of New York and New Jersey is considering raising the amount of the toll between 7:30 and 8:30 a.m. to encourage more drivers to use the tunnel at an earlier or later time. Suppose the Port Authority experiments with peak-hour pricing for 6 months, increasing the toll from $4 to $7 during the rush hour peak. On 10 different workdays at 8:30 a.m. aerial photographs of the tunnel queues are taken and the number of vehicles counted. The results follow:
Analyze the data for the purpose of determining whether peak-hour pricing succeeded in reducing the average number of vehicles attempting to use the Lincoln Tunnel during the peak rush hour.
ANSWER:
Solution:
Step 1 of 2:
The mean number of cars waiting in line to pay the Lincoln tunnel toll is 1,220.
Here the port authority experiments with peak-hour pricing for 6 months, increasing the toll from $4 to $7 during the rush hour peak.
The number of vehicles counted on 10 different workdays are given.
1,260 |
1,052 |
1,201 |
942 |
1,062 |
999 |
931 |
849 |
867 |
735 |
We have to analyse the data to determine whether peak- hour pricing succeeded in reducing the average number of cars in line during the peak rush hour.