It is assumed that the discrete random variable X follows a Poisson distribution. A sample of size n = 142.0 is distributed as ni classes 29.0 41.0 X=0 X=1 39.0 23.0 X=2 X=3 10.0 X≥4 where ni, i = 1,..., 5 is absolute frequency in the corresponding class. Use a x2 test on a significance level = 0.05 to decide whether X has distribution Poi(A) with a A estimated by the approximate sample mean. Calculate the test statistic and rejection region. (H: X~Poi(A), H₁: X Poi(A)) O test statistic: 1.36, rejection region: (9.39,00) O test statistic: 1.33, rejection region: (9.39,00) O test statistic: 1.33, rejection region: (9.49,00) O test statistic: 1.36, rejection region: (9.49,00)
It is assumed that the discrete random variable X follows a Poisson distribution. A sample of size n = 142.0 is distributed as ni classes 29.0 41.0 X=0 X=1 39.0 23.0 X=2 X=3 10.0 X≥4 where ni, i = 1,..., 5 is absolute frequency in the corresponding class. Use a x2 test on a significance level = 0.05 to decide whether X has distribution Poi(A) with a A estimated by the approximate sample mean. Calculate the test statistic and rejection region. (H: X~Poi(A), H₁: X Poi(A)) O test statistic: 1.36, rejection region: (9.39,00) O test statistic: 1.33, rejection region: (9.39,00) O test statistic: 1.33, rejection region: (9.49,00) O test statistic: 1.36, rejection region: (9.49,00)
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:It is assumed that the discrete random variable X follows a Poisson distribution. A sample of size n = 142.0 is distributed as
ni
classes
29.0 41.0
X=0 X=1
39.0 23.0
X=2 X=3
10.0
X≥4
where ni, i = 1,..., 5 is absolute frequency in the corresponding class. Use a x2 test on a significance level = 0.05 to decide whether X has distribution Poi(A) with a A
estimated by the approximate sample mean. Calculate the test statistic and rejection region. (H: X~Poi(A), H₁: X Poi(A))
O test statistic: 1.36, rejection region: (9.39,00)
O test statistic: 1.33, rejection region: (9.39,00)
O test statistic: 1.33, rejection region: (9.49,00)
O test statistic: 1.36, rejection region: (9.49,00)
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