(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
Related questions
Question
Number...2...
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning