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The superintendent of a large school district, having once had a cour.pdf

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The superintendent believes teacher absences follow a Poisson distribution with parameter λ. Data on absences over 50 days was used to construct a 95% confidence interval for λ. The interval was calculated using the fact that for a Poisson variable, the mean and variance both equal λ, allowing the test statistic Z=√(X-nλ)/nλ to be used to find the interval.

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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 . Use the accompanying data on absences for 50 days to obtain a 95% large- sample CI for . [Hint: The mean and variance of a Poisson variable both equal , so Z=/nX Now proceed as in the derivation of the interval for p by making a probability (Round your answers to two decimal places.) Answer: (,)

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