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 ?. Use the accompanying data on absences for 50 days to obtain a 95% large-sample CI for ?. Number of absences 0 1 2 3 4 5 6 7 8 9 10 Frequency 2 4 8 11 8 6 6 2 1 1 1 [Hint: The mean and variance of a Poisson variable both equal ?, so Z = X − ? ?/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 − ?) and solving the resulting inequalities for ?.] (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 ?. Use the accompanying data on absences for 50 days to obtain a 95% large-sample CI for ?. Number of absences 0 1 2 3 4 5 6 7 8 9 10 Frequency 2 4 8 11 8 6 6 2 1 1 1 [Hint: The mean and variance of a Poisson variable both equal ?, so Z = X − ? ?/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 − ?) and solving the resulting inequalities for ?.] (Round your answers to two decimal places.)

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Number of absences	0	1	2	3	4	5	6	7	8	9	10
Frequency	2	4	8	11	8	6	6	2	1	1	1

[Hint: The mean and variance of a Poisson variable both equal ?, so

Z =

X − ?

?/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 − ?) and solving the resulting inequalities for ?.] (Round your answers to two decimal places.)

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