f(; 9) = {0:30-2,

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answerhappygod
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f(; 9) = {0:30-2,

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F 9 0 30 2 Y 1 A It Is Known That The Random Variable Y Has A Probability Density Function 0 Y0 1 Y 1 Else 1
F 9 0 30 2 Y 1 A It Is Known That The Random Variable Y Has A Probability Density Function 0 Y0 1 Y 1 Else 1 (234.31 KiB) Viewed 71 times
f(; 9) = {0:30-2, <y<1 a) It is known that the random variable Y has a probability density function 0) y0–1, <y<1 , elsewhere It is desired to test the null hypothesis Ho: 0 = 2 against the alternative Hz: 0 = 1. A random sample Y, of size n=1 is to be used. i) Calculate the level of significance or type I error which rejects H, if y, s. (4) 3 Page ho SSTA022 NOV/DEC EXAMINATION 2021 ii) Consider the test which rejects H, if yį sc. If the level of significance for the test is 0.1. What is the value of c? (4) iii) Show that the product II"=1 yi is sufficient statistic for o using the factorisation method. (5) =
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