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 H. Use the accompanying data on absences for 50 days to obtain a 95% large-sample CI for u. Number of absences 0 1 2 3 45 6 789 10 Frequency 138 11 9 65 3 21 1 [Hint: The mean and variance of a Poisson variable both equal H, so %D V u/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 u.) (Round your answers to twe decimal places.) 3.52 4.64

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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 µ. Use the accompanying data
on absences for 50 days to obtain a 95% large-sample CI for u.
Number of
absences
0 1 2
3 4 5 6 7 8 9 10
Frequency
1 3 8 11 9 6 5 3 2 1
1
[Hint: The mean and variance of a Poisson variable both equal u, so
X -
Z =
V H/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 -
decimal places.)
a) and solving the resulting inequalities for µ.] (Round your answers to two
|× )
3.52
4.64
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 µ. Use the accompanying data on absences for 50 days to obtain a 95% large-sample CI for u. Number of absences 0 1 2 3 4 5 6 7 8 9 10 Frequency 1 3 8 11 9 6 5 3 2 1 1 [Hint: The mean and variance of a Poisson variable both equal u, so X - Z = V H/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 - decimal places.) a) and solving the resulting inequalities for µ.] (Round your answers to two |× ) 3.52 4.64
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