In preparation for a public hearing, an engineer needs to estimate the travel time savings for a proposed highway bypass of a small city in a rural area. The existing highway goes through the downtown area for 4.1 miles between the points where the bypass will connect. (a) If the engineer anticipates a standard deviation of 7 mi/h and would like a 95% confidence of estimating the mean speed within ±4 mi/h, how many runs should a travel time study include? (Enter the minimum number of runs that achieves a 95% confidence level.) runs (b) If the engineer measures an average speed of 34.9 mi/h through the town and the bypass is expected to operate at speeds of 65 mi/h over a distance of 6.2 miles, what is the expected travel time saving (in minutes) per vehicle? minutes Need Help? Read It Watch It

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter6: Fundamental Principles Of Traffic Flow
Section: Chapter Questions
Problem 16P
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In preparation for a public hearing, an engineer needs to estimate the travel time savings for a proposed highway bypass of a small city in a rural area. The existing highway goes through the downtown area for 4.1 miles between the points where the bypass will connect.
(a) If the engineer anticipates a standard deviation of 7 mi/h and would like a 95% confidence of estimating the mean speed within ±4 mi/h, how many runs should a travel time study include? (Enter the minimum number of runs that achieves a 95% confidence level.)
runs
(b) If the engineer measures an average speed of 34.9 mi/h through the town and the bypass is expected to operate at speeds of 65 mi/h over a distance of 6.2 miles, what is the expected travel time saving (in minutes) per vehicle?
minutes
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Transcribed Image Text:In preparation for a public hearing, an engineer needs to estimate the travel time savings for a proposed highway bypass of a small city in a rural area. The existing highway goes through the downtown area for 4.1 miles between the points where the bypass will connect. (a) If the engineer anticipates a standard deviation of 7 mi/h and would like a 95% confidence of estimating the mean speed within ±4 mi/h, how many runs should a travel time study include? (Enter the minimum number of runs that achieves a 95% confidence level.) runs (b) If the engineer measures an average speed of 34.9 mi/h through the town and the bypass is expected to operate at speeds of 65 mi/h over a distance of 6.2 miles, what is the expected travel time saving (in minutes) per vehicle? minutes Need Help? Read It Watch It
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