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4. Let X1,..., Xn ~iid Unif(0, 0). (a) Is this family MLR in Y = X(n)? (b) Find the UMP size-a test for Ho: <00 vs H₁: 0> 00. (c) Find the UMP size-a test for Ho: 0≥ 00 vs H₁: 0 <00. = : (d) Letting R₁ be the rejection region for the test in part (b) and R2 be the rejection region for the test in part (c). Consider the test for the hypotheses Ho: 000 vs H₁ 000 determined by the rejection region R = R₁ U R2. That is, we reject Ho if the data is in either R₁ or R2. Find the size of this test at Ho: 0 = 00.

4. Let X1,..., Xn ~iid Unif(0, 0). (a) Is this family MLR in Y = X(n)? (b) Find the UMP size-a test for Ho: <00 vs H₁: 0> 00. (c) Find the UMP size-a test for Ho: 0≥ 00 vs H₁: 0 <00. = : (d) Letting R₁ be the rejection region for the test in part (b) and R2 be the rejection region for the test in part (c). Consider the test for the hypotheses Ho: 000 vs H₁ 000 determined by the rejection region R = R₁ U R2. That is, we reject Ho if the data is in either R₁ or R2. Find the size of this test at Ho: 0 = 00.

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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Need help with part a to c. Thanks.

4. Let X1,..., Xn ~iid Unif(0, 0). (a) Is this family MLR in Y = X(n)? (b) Find the UMP size-a test for Ho: <00 vs H₁: 0> 00. (c) Find the UMP size-a test for Ho: 0≥ 00 vs H₁: 0 <00. = : (d) Letting R₁ be the rejection region for the test in part (b) and R2 be the rejection region for the test in part (c). Consider the test for the hypotheses Ho: 000 vs H₁ 000 determined by the rejection region R = R₁ U R2. That is, we reject Ho if the data is in either R₁ or R2. Find the size of this test at Ho: 0 = 00.
Transcribed Image Text:4. Let X1,..., Xn ~iid Unif(0, 0). (a) Is this family MLR in Y = X(n)? (b) Find the UMP size-a test for Ho: <00 vs H₁: 0> 00. (c) Find the UMP size-a test for Ho: 0≥ 00 vs H₁: 0 <00. = : (d) Letting R₁ be the rejection region for the test in part (b) and R2 be the rejection region for the test in part (c). Consider the test for the hypotheses Ho: 000 vs H₁ 000 determined by the rejection region R = R₁ U R2. That is, we reject Ho if the data is in either R₁ or R2. Find the size of this test at Ho: 0 = 00.
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