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 1 3 8 11 8 6 6 3 2 1 1 [Hint: The mean and variance of a Poisson variable both equal μ, so χαμ 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 - x) and solving the resulting inequalities for u.] (Round your answers to two decimal places.) Need Help? Read It

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
icon
Related questions
Question
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
Z =
0 1 2 3 4 5
6
Frequency 1 3 8 11 8 6 6 3 2 1 1
[Hint: The mean and variance of a Poisson variable both equal μ, so
x-μ
Vμ/n
Need Help? Read It
7 8 9 10
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.)
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 Z = 0 1 2 3 4 5 6 Frequency 1 3 8 11 8 6 6 3 2 1 1 [Hint: The mean and variance of a Poisson variable both equal μ, so x-μ Vμ/n Need Help? Read It 7 8 9 10 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.)
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill