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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 012 3 4 5 6 7 8 9 10 Frequency 1 3 8 10 9 7 5 4 1 1 1 [Hint: The mean and variance of a Poisson variable both equal μ, so X-μ Vμ/n Z=== 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.) 3.53 1x 4.66 x

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 012 3 4 5 6 7 8 9 10 Frequency 1 3 8 10 9 7 5 4 1 1 1 [Hint: The mean and variance of a Poisson variable both equal μ, so X-μ Vμ/n Z=== 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.) 3.53 1x 4.66 x

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 10 9 7 5 4 1 1 1 [Hint: The mean and variance of a Poisson variable both equal μ, so Z = x-μ √μln 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.) 3.53 X 4.66 ]* )
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 μ. Number of absences 0 1 2 3 4 5 6 7 8 9 10 Frequency 1 3 8 10 9 7 5 4 1 1 1 [Hint: The mean and variance of a Poisson variable both equal μ, so Z = x-μ √μln 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.) 3.53 X 4.66 ]* )
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