Suppose that a quality control expert would like to compare the number of defective products per day for two different manufacturing plants. A total of 40 independent observations on the number of defectives gave means the number of defectives per day on the i plant has a Poisson distribution with mean 0,, for 4 for the first plant and = 6 for the second plant. Assume that %3D i = 1, 2, respectively. Let A L() be the test statistic for the likelihood ratio test of L( %3D Ho : 0 = 02 versus H: 0 # 0, with a = %3D 0.05. What is (A, B) in the following statement: The observed value of -2 In(A) is A which is larger than the observed value from the Chi-square distribution table which is B, and hence we reject Ho at a = 0.05.
Suppose that a quality control expert would like to compare the number of defective products per day for two different manufacturing plants. A total of 40 independent observations on the number of defectives gave means the number of defectives per day on the i plant has a Poisson distribution with mean 0,, for 4 for the first plant and = 6 for the second plant. Assume that %3D i = 1, 2, respectively. Let A L() be the test statistic for the likelihood ratio test of L( %3D Ho : 0 = 02 versus H: 0 # 0, with a = %3D 0.05. What is (A, B) in the following statement: The observed value of -2 In(A) is A which is larger than the observed value from the Chi-square distribution table which is B, and hence we reject Ho at a = 0.05.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question 3
Suppose that a quality control expert would like to compare the number of defective products per
day for two different manufacturing plants. A total of 40 independent observations on the number
of defectives gave means = 4 for the first plant and = 6 for the second plant. Assume that
the number of defectives per day on the i" plant has a Poisson distribution with mean 0;, for
i = 1, 2, respectively. Let X
L(.)
be the test statistic for the likelihood ratio test of
Ho : 0 = 02 versus H.: 0 # 02 with a =
0.05.
%3D
What is (A, B) in the following statement:
The observed value of -2 In(A) is A which is larger than the observed value from the Chi-square
distribution table which is B, and hence we reject Ho at a = 0.05.
O (16.108, 5.023)
O (16.108, 3.841)
O (13.124, 3.841)
O (13.124, 5.023)
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