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 Poisson distribution with parameter m. Use the accompanying data on absences for 50 days to obtain a large sample CI for µ. 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 2 a) and solving the resulting inequalities for m - see the argument just after (7.10).

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Number of absences 0 1 23 4 5 6 7 8 9 10 Frequency1 48 10 8 7 5 3 2 1 1