Answered: 2 13. Let X1,..., Xn ~ iid N(0, T) and… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 23E

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13. Let X1,..., Xn ~iid N(0, 7) and consider the hypotheses Ho: T To vs H₁T < To-
(a) Find the most powerful size-a test. You should provide to in terms of a x2 critical value.
(b) If X1,..., Xn ~iid N(д, T) for known μ, find the UMP size-a test.
(c) If X1,..., Xn ~iid N(μ, T) for unknown μ, propose a size-a test with similar from to (b).
Comment on why you can't conclude that this test is UMP.

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