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A traffic flow engineer needs to estimate the average time between vehicles passing a particular point...

A traffic flow engineer needs to estimate the average time between vehicles passing a particular point on the road; they know that times between vehicles follow an Exponential distribution. Having waited for 457.12 minutes, a total of 191 vehicles are counted. Produce a 95% confidence interval for the average time between vehicles (in minutes)

Math   Statistics-And-Probability   
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Answer #1

In the case of Exponential distribution, the mean and standard deviations are equal.

Here the sample mean is ans sample standard deviation is . The sample size is .

The confidence interval for true mean based on the sample mean is

A 95% confidence interval for the average time between vehicles (in minutes)

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