3. Suppose that the number of system failures each month has a Poisson distribution with average 0. The number of such failures was observed for a year in order to test the following hypotheses: Ho: 0 = 0, vs H;: 0 = 0, Find an MP size-a (or level- a) test for these hypotheses.

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
Section13.3: Special Probability Density Functions
Problem 19E
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Hint get the likelihood in terms of Ho the num then denom in terms of Ha then equate on k the ratio simplify LHS in terms of x, then RHS other rv (which you can set as k')
3. Suppose that the number of system failures each month has a Poisson distribution with average 0. The
number of such failures was observed for a year in order to test the following hypotheses:
Ho: 0 = 0, vs H;: 0 = 0,
Find an MP size-a (or level- a) test for these hypotheses.
Transcribed Image Text:3. Suppose that the number of system failures each month has a Poisson distribution with average 0. The number of such failures was observed for a year in order to test the following hypotheses: Ho: 0 = 0, vs H;: 0 = 0, Find an MP size-a (or level- a) test for these hypotheses.
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