As part of its highway tort liability risk management program, a city’s road department wishes to monitor pavement roughness on its local streets. The entire network is divided into several sections of equal length. Previous roughness measurements on a small sample of the city streets yielded a mean and standard deviation of 115 and 35 units, respectively. The city requires that 95% of the time, the estimated value of roughness must be within 15 unit of the true value.  a). What is the minimum number of tests per unit?  b). In a certain year, budgetary constraints limited the number of tests to 5 tests  per unit, what was the impact on the level of confidence in the test results in that year? c). What can be done to address the problem of high roughness values?

Structural Analysis
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Chapter2: Loads On Structures
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As part of its highway tort liability risk management program, a city’s road department wishes to monitor pavement roughness on its local streets. The entire network is divided into several sections of equal length. Previous roughness measurements on a small sample of the city streets yielded a mean and standard deviation of 115 and 35 units, respectively. The city requires that 95% of the time, the estimated value of roughness must be within 15 unit of the true value. 

a). What is the minimum number of tests per unit? 

b). In a certain year, budgetary constraints limited the number of tests to 5 tests  per unit, what was the impact on the level of confidence in the test results in that year?

c). What can be done to address the problem of high roughness values?

 

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