Statistics
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 μ. Use the accompanying data on absences for 50 days to obtain a 95% large-sample CI for μ.
| Number of absences | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Frequency | 1 | 4 | 7 | 10 | 9 | 7 | 5 | 3 | 2 | 1 | 1 |
[Hint: The mean and variance of a Poisson variable both equal μ, so
Z =
| X − μ |
| μ/n |
has approximately a standard normal distribution. Now proceed as in the derivation of the interval for p by making a probability statement (with probability
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The superintendent of a large school district, having once had a course in probability and statis...
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predicted inches of snow if 16 kids are absence next day.
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