An article presents a new method for timing traffic signals in heavily traveled

Question

An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiveness of the new method was evaluated in a simulation study. In 50 simulations, the mean improvement in traffic flow in a particular intersection was 653.5 vehicles per hour, with a standard deviation of 311.7 vehicles per hour. A traffic engineer states that the mean improvement is between 581 and 726 vehicles per hour. With what level of confidence can this statement be made? Express the answer as a percent and round to the nearest integer.

The level of confidence is what % ?

Explanation / Answer

here std error of mean =std deviation/(n)1/2 =311.7/(50)1/2 =44.081

margin of error E=(726-581)/2=72.5

for above critical value z =margin of error/std error =72.5/44.081 =1.645

for above is a critical value for 90% confidence interval

therefore level of confidence in 90%.

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