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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 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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.)
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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