3. Let X1, ·.. , Xn be iid N(µ, 1) where µ is an unknown parameter. Consider the hypothesis test:Но :H = 0H1: µ= -2.We have two proposed critical reagions: C1 = {X > K1}, C2 = {X < K2}.Find K1 so that C1 has size a.Find K2 so that C2 has size a.Which critical region, C1 or C2 is more suitable for the hypothesis test in thisquestion? Explain why with precise calculation.

Let X1, · , X, be iid N(µ, 1) where µ is an unknown parameter. Consider the hypothesis test: Ho : µ=0 H1 H = -2. We have two proposed critical reagions: C1 = {X > K1},C2 = {X < K2}. Find K1 so that C1 has size a.

Let X1, · , X, be iid N(µ, 1) where µ is an unknown parameter. Consider the hypothesis test: Ho : µ=0 H1 H = -2. We have two proposed critical reagions: C1 = {X > K1},C2 = {X < K2}. Find K1 so that C1 has size a.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Question

3. Let X1, ·.. , Xn be iid N(µ, 1) where µ is an unknown parameter. Consider the hypothesis test:
Но :
H = 0
H1
: µ= -2.
We have two proposed critical reagions: C1 = {X > K1}, C2 = {X < K2}.
Find K1 so that C1 has size a.
Find K2 so that C2 has size a.
Which critical region, C1 or C2 is more suitable for the hypothesis test in this
question? Explain why with precise calculation.

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