Consider the following spot speed data, which were collected from the location of expressways operating under free flow conditions: a. Draw the frequency curve and cumulative frequency for this data. b. Find and identify on the curve: average speed, modud speed, pace, percent of vehicles in pace. c. Calculate the mean and standard deviation of the velocity distribution. d. What are the confidence bounds in the true mean velocity estimate of the underlying distribution with a 95% confidence level? With a 99.7% confidence level? e. Based on the results of this study, a second study should be conducted to achieve a tolerance of ±1.5 mi/hour with a 95% confidence level. What is the required sample size? f. Can this data deserve to be declared as normal?
Consider the following spot speed data, which were collected from the location of expressways operating under free flow conditions: a. Draw the frequency curve and cumulative frequency for this data. b. Find and identify on the curve: average speed, modud speed, pace, percent of vehicles in pace. c. Calculate the mean and standard deviation of the velocity distribution. d. What are the confidence bounds in the true mean velocity estimate of the underlying distribution with a 95% confidence level? With a 99.7% confidence level? e. Based on the results of this study, a second study should be conducted to achieve a tolerance of ±1.5 mi/hour with a 95% confidence level. What is the required sample size? f. Can this data deserve to be declared as normal?
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter8: Time And Time-related Variables In Engineering
Section8.5: Engineering Variables Involving Length And Time
Problem 2BYG
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Consider the following spot speed data, which were collected from the location of expressways operating under free flow conditions:
a. Draw the frequency curve and cumulative frequency for this data.
b. Find and identify on the curve: average speed, modud speed, pace, percent of vehicles in pace.
c. Calculate the mean and standard deviation of the velocity distribution.
d. What are the confidence bounds in the true mean velocity estimate of the underlying distribution with a 95% confidence level? With a 99.7% confidence level?
e. Based on the results of this study, a second study should be conducted to achieve a tolerance of ±1.5 mi/hour with a 95% confidence level. What is the required sample size?
f. Can this data deserve to be declared as normal?
Transcribed Image Text:Speed
Group
(miles/ho
ur)
15-20
Number of Vehicles
Observed
N
20-25
3
25-30
30-35
35-40
18
45
40-45
48
45-50
18
50-55
12
55-60
4
60-65
3
65-70
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