A researcher was observing traffic along one lane of a rural highway. During a 1 minute time interval, ten vehicles were observed travelling 65, 64, 71, 66, 58, 72, 69, 66, 55 and 62 mph. Estimate the average vehicle spacing (ft/veh). Provide your answer to the nearest integer.
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- Question 3: (a) A section of highway is known to have a free-flow speed of 95 km/h and a capacity of 3300 veh/h. Your summer student indicates that the average time in between passing vehicles was 1.6 seconds during an hour of monitoring. If the linear speed-density relationship applies, what was the space-mean speed of the vehicles during the hour of monitoring?A researcher was observing traffic along one lane of a rural highway. During a 1 minute time interval, ten vehicles were observed travelling 65, 64, 71, 66, 58, 72, 69, 66, 55 and 62 mph. Estimate the average vehicle spacing (ft/veh). Provide your answer to the nearest integer.Question 2: A student safety advocacy group believes that drivers are speeding down Manhattan College Blvd. To prove their point, they wish to college vehicle speed data. Previous research has shown that the standard deviation of vehicle speeds on this functional class of roads is 7.00 mph. A. How many vehicles will the group need to sample to determine the 50 percentile speed if they wish to be 95.5% confident in their results plus or minus 3.00 mph? B. How does the 50“ percentile required sample size change if we are concerned about the 85" percentile? C. How does the 50" percentile required sample change if we want the results to be accurate to plus or minus 1.5 mph?
- At an impaired driver checkpoint, the time required to conduct the impairment test varies (according to an exponential distribution) depending on the compliance of the driver, but takes 60 seconds on average. If an average of 30 vehicles per hour arrive (according to a Poisson distribution) at the checkpoint, determine the average time spent in the system in minutes/vehicle. Answer in whole number.At an impaired driver checkpoint, the time required to conduct the impairment test varies (exponentially distributed) depending on the compliance of the driver, but takes 60 seconds on average. If an average of 30 vehicles per hour arrive (according to a Poisson distribution) at the checkpoint, determine the average time spent in the system.An observer has determined that the time headways between successive vehicles on a section of highway are exponentially distributed and that 65% of the headways between vehicles are 9 seconds or greater. If the observer decides to count traffic in 30-second time intervals, estimate the probability of the observer counting exactly four vehicles in an interval.
- Consider only a single lane of a highway. Based on extensive data from an urban freeway it is assumed thatfree-flow speeds (i.e., there are no jams) can best be represented by a Normal distribution with mean andstandard deviation 119 km/h and 13.1 km/h, respectively.1. What is the probability that the speed of a randomly selected vehicle is between 100 and 120 km/h?2. What is the expected number of vehicles between two vehicles that exceed the posted speed limit of100 Km/h? You can use the Z table for calculating the final answer. You can also write your final answer in form ofR functions or as PDF/CDF of statistical distributions with correct arguments.Question 7 Data obtained from aerial photograph showed eight vehicles on 200 m long section of road. Traffic data collected at the same time indicated an average time headway of 3 sec. Determine: a) the density on the road b) the flow on the road c) the speed What type of speed is this? Explain.A researcher was observing traffic along one lane of a rural highway. During a 1 minute time interval, ten vehicles were observed travelling 65, 64, 71, 66, 58, 72, 69, 66, 55 and 62 mph. Using these spot speeds, calculate the time mean speed (mph). Provide your answer to the nearest tenth of a mph.
- This is a three-part question. Data obtained from aerial photography showed eight vehicles on an 800 ft-long section of road. Traffic data collected at the same time indicated an average time headway of 3.7 sec. Part A. Determine the density on the highway in vehicles per mile. Part B. Determine the flow on the road in vehicles per hour. Part C. Determine the space mean speed in mph.The city received a complaint of afternoon traffic speeding in a residential area. The city suspected this was related to students leaving a nearby school. The first action taken by the city was to quantify the facts by conducting a spot speed study. The city decided to use the stopwatch method because of their limited resources. The Speed (mph) 21.4 22.2 23 24 Frequency of Vehicles 3. 25 26.1 27.2 28.9 30 31.5 33.3 35.2 37.5 9. 11 13 posted speed limit is 30 mph. The study was conducted on a Wednesday and started at 3:00 p.m. The time was selected to correspond to the period when most students leave the school. The study continued until a sample size of 100 9 10 10 9. 40 42.8 vehicles was measured.A researcher was observing traffic along one lane of a rural highway. During a 1 minute time interval, ten vehicles were observed travelling 65, 64, 71, 66, 58, 72, 69, 66, 55 and 62 mph. Calculate the flow rate (vph). Provide your answer to the nearest integer.