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.

What is the level of confidence in %?

Explanation / Answer

std error of mean =std deviation/(n)1/2 =311.7/(n)1/2 =44.08

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

therefore value of z score =margin of score/std error =72.5/44.08 =1.645

for above z value is for 95% confidence interval

therefore we can make this statement with 95% level of confidence

please revert for any clariification

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