Erecta for Exercise 3b Sem 5

In the seminar I falsely assumed distributions for Xi's individually while the model tells us only how the sum behaves.

In 3b we should use the CI we found in 2c)

lambda hat +- z(a/2)*sqrt(lambda hat/t) ,

and insert for the point estimate of lambda hat and t=36.

We get a smaller CI [679,697] compared to that found in 3a based on the normal distribution, [652,724], as the Poisson standard error is small when t is large. The point estimate is the same, only the error structure is different.

Special thanks to Margarita for pointing out this mistake.