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 parame Use the accompanying data on absences for 50 days to obtain a large-sample CI for µ. [Hint: The m and variance of a Poisson variable both equal µ, so Z = VH/n

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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 u.
Use the accompanying data on absences for 50 days to obtain a large-sample CI for u. [Hint: The mean
and variance of a Poisson variable both equal µ, so
Z =
VH/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 1 – a) and solving the resulting inequalities for e –
see the argument just after (7.10).]
Number of
2
4
7
9.
absences
Frequency
1
4
8
10
8
7
2
1
1
Transcribed Image Text: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 u. Use the accompanying data on absences for 50 days to obtain a large-sample CI for u. [Hint: The mean and variance of a Poisson variable both equal µ, so Z = VH/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 1 – a) and solving the resulting inequalities for e – see the argument just after (7.10).] Number of 2 4 7 9. absences Frequency 1 4 8 10 8 7 2 1 1
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