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Exercise 6. Let 0 > 0 and X ~U[0,0], i.e. X is uniformly distributed on the interval [0, 0]. a) As a function of 0, determine P(X < 1). b) Assume that 0 is unknown, but we can observe X. For given 00, we want to test the hypothesis Ho: 0 > 0o against the alternative H1: 0 < 0. Consider the test which rejects Ho, if and only if X < c. How should we choose c, as a function of 0o and a, to get a test with significance level a? Carefully justify your answer.

Exercise 6. Let 0 > 0 and X ~U[0,0], i.e. X is uniformly distributed on the interval [0, 0]. a) As a function of 0, determine P(X < 1). b) Assume that 0 is unknown, but we can observe X. For given 00, we want to test the hypothesis Ho: 0 > 0o against the alternative H1: 0 < 0. Consider the test which rejects Ho, if and only if X < c. How should we choose c, as a function of 0o and a, to get a test with significance level a? Carefully justify your answer.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Exercise 6. Let 0 > 0 and X ~U[0, 0], i. e. X is uniformly distributed on the interval [0, 0]. a) As a function of 0, determine P(X < 1). b) Assume that 0 is unknown, but we can observe X. hypothesis Ho: 0 > 0, against the alternative H1: 0 < 0g. Consider the test which rejects Ho, if and only if X < c. How should we choose c, as a function of 00 and a, to get a test with significance level a? Carefully justify your answer. For given Oo, we want to test the
Transcribed Image Text:Exercise 6. Let 0 > 0 and X ~U[0, 0], i. e. X is uniformly distributed on the interval [0, 0]. a) As a function of 0, determine P(X < 1). b) Assume that 0 is unknown, but we can observe X. hypothesis Ho: 0 > 0, against the alternative H1: 0 < 0g. Consider the test which rejects Ho, if and only if X < c. How should we choose c, as a function of 00 and a, to get a test with significance level a? Carefully justify your answer. For given Oo, we want to test the
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