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 3 8 11 9 6 5 3 2 1 1 [Hint: The mean and variance of a Poisson variable both equal µ, so X- u Z = 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 two decimal places.)
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 3 8 11 9 6 5 3 2 1 1 [Hint: The mean and variance of a Poisson variable both equal µ, so X- u Z = 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 two decimal places.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 95% large-sample CI for u.
Number of
absences
0 1 2
3 4 5 6 7 8 9 10
Frequency
8 11 9 6 5 3 2 1
1
[Hint: The mean and variance of a Poisson variable both equal u, so
Z =
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 µ.] (Round your answers to two decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86bfc21f-7304-4d6a-8ae3-de059a5180e7%2F00526059-b1b7-4051-bb04-6043c8db70a9%2F560eram_processed.png&w=3840&q=75)
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 95% large-sample CI for u.
Number of
absences
0 1 2
3 4 5 6 7 8 9 10
Frequency
8 11 9 6 5 3 2 1
1
[Hint: The mean and variance of a Poisson variable both equal u, so
Z =
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 µ.] (Round your answers to two decimal places.)
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