The superintendent of a large school district, having once had a course in probability a...

The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of teachers absent on any given day has a Poissondistribution with parameter m. Use the accompanying data on absences for 50 days to obtain a large-sample CI for μ. [Hint: The mean and variance of a Poisson variable both equal μ, so

has approximately a standard normal distribution. Now proceed as in the derivation of the interval for p by making a probability statement (with probability 1 – α) and solving the resulting inequalities for μ –– see the argument just after (7.10).]