The dataset TrafficFlow gives the delay time in seconds for 24simulation runs in Dresden, Germany, comparing the current timedtraffic light system on each run to a proposed flexible trafficlight system in which lights communicate traffic flow informationto neighboring lights. On average, public transportation wasdelayed 105 seconds under the timed system and 44 seconds under theflexible system. Since this is a matched pairs experiment, we areinterested in the difference in times between the two methods foreach of the 24 simulations. For the n=24 differences D, we weregiven that x¯D=61 seconds with sD=15.19 seconds. We wish toestimate the average time savings for public transportation on thisstretch of road if the city of Dresden moves to the new system.
what parameter are we estimating? give correct notation
suppose that we write the 24 differences on 24 slips of paper.describe how to physically use the paper slips to create abootstrap sample.
what statistic do we for this one bootstrap sample?
if we create a bootstrap distribution using many of thesebootstrap statistics what shape do we expect it to be centered?
how can we use the values in the bootstrap distribution to findthe standard error?
the standard error 3.1 for one set of 10,000 bootstrap samples.find and interpret a 95% confidence interval for the average timesavings.
