Number...2... aragraphbecause your Office product is inactive. To use for free, sign in and use the Web version. ActivateEnglish (South Africa)search2) Suppose that a random sample X₁X2,...,X10 is from a poison distribution with mean 8. It isdesired to test a null hypothesis H₂:0 = 0.1 against alternative H₁: 8 = 0.5 at a level ofsignificance.1 -f(y) = (0_ee, y> 00, elsewhereAnd its cumulative distribution function is given bya) Use Neyman Raphson method to show that the best test or uniformly most powerful testrejects Ho if ¹0-1x₁2c where c satisfies the probability equationa= P(E|qx 2c |θ = 0.1).b) If c= 3, show that Type I error is 0.0803 for the test in part a).Hint: 1X has a poisson distribution with mean 100.3) The probability density function for Y is given byAccessibility: UnavailableAtUse free at Office.com2StylesF(y) = (1-es, yo0, elsewhere26°CE3

Given Information: Consider a random sample X1,X2,....,X10 is from a Poisson distribution with mean…

(South Africa) 2) Suppose that a random sample X₁X2,...,X10 is from a poison distribution with mean 8. It is desired to test a null hypothesis Ho:0 = 0.1 against alternative H₁: 0 = 0.5 at a level of significance. a) Use Neyman Raphson method to show that the best test or uniformly most powerful test rejects Ho if 10-1x₁2c where c satisfies the probability equation a = P(E|_ixi 2 c \0 = 0.1). b) If c = 3, show that Type I error is 0.0803 for the test in part a). Hint: 1X has a poisson distribution with mean 100. 3) The probability density function for Y is given by 1 -1 f(y) = [8_ee, y> 0 0, elsewhere And its cumulative distribution function is given by Accessibility: Unavailable www 2 Fy) = (1-es, yo 0, elsewhere 26°C DE

(South Africa) 2) Suppose that a random sample X₁X2,...,X10 is from a poison distribution with mean 8. It is desired to test a null hypothesis Ho:0 = 0.1 against alternative H₁: 0 = 0.5 at a level of significance. a) Use Neyman Raphson method to show that the best test or uniformly most powerful test rejects Ho if 10-1x₁2c where c satisfies the probability equation a = P(E|_ixi 2 c \0 = 0.1). b) If c = 3, show that Type I error is 0.0803 for the test in part a). Hint: 1X has a poisson distribution with mean 100. 3) The probability density function for Y is given by 1 -1 f(y) = [8_ee, y> 0 0, elsewhere And its cumulative distribution function is given by Accessibility: Unavailable www 2 Fy) = (1-es, yo 0, elsewhere 26°C DE

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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