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(60 points) Problem 11-1 Consider the spot speed data below,collected at a rural highway site under conditions of uncongested flow.

(a) plot the frequency and cumulative frequency curvesfor this data. (b) determine median speed, the modal speed, the pace,and the percentage of vehicle in the pace from the curves and show how each was found. (c) compute the mean and standard deviations of the speed distribution. (d) what is the confidence interval bounds of the estimate of the true mean speed of the distribution with 95%confidence? (e) based on the results of this study, a second study is to be conducted to achieve a tolerance of ±0.8 mi/h with 95% confidence. What sample size is required? (40 points) Problem 11-4 A series of travel time runs are to be made along an arterial section. Tabulate the number of runs required to estimate the overall average travel time with 95%confidence to within ±2 min, ±5min, ±10min, for standard deviations of 5, 10, 15 mins. Note that a 3X3 table of values is desired.

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