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 tw decimal places.)

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 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 7 12 875 4 1 1
[Hint: The mean and variance of a Poisson variable both equal u, so
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 -
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 0 1 2 3 4 5 6 7 8 9 10 Frequency 1 3 7 12 875 4 1 1 [Hint: The mean and variance of a Poisson variable both equal u, so 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 - a) and solving the resulting inequalities for u.] (Round your answers to two decimal places.)
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