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)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F983bde7f-5267-4e80-9192-46bc7dee56c3%2Fae722ff5-4f49-4b06-9131-cd8596179d6e%2Fhnb4glf_processed.jpeg&w=3840&q=75)
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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