In: Statistics and Probability
6.The time of arrivals between two successive cars to a gas station is assumed to have an exponential distribution with mean 8 minutes. A maintenance operation is started on the road. A random sample of 36 arrival times are recorded to determine the effect of maintenance operation, and average time between arrivals is found as 10 minutes.
a) Test the hypothesis that the mean arrival time has changed. Use =0.05.
b) Discuss what practical conclusions you would draw in part (a).