Answered: Let Zi X₁μx~N(0,1), and Wi = ~N(0,1),… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 22E

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Question

2.

STATISTICAL INFERENCE

Let Z₁ X₁¯μX~N(0,1), and W₁
=
~N(0,1), for i = 1,2,3,...,10, then:
i) State, with parameter(s), the probability distribution of the statistic, T =
σχ
Yi-HY
gy
=
ii) Find the mean and variance of the statistic T
=
Σ1,w;2
ΣΩΖ,2
10
iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4.
2
2
iv) Find the value of ß such that P(T > ß) = 0.01, where T =
10₁Z₁²+¹0₁ W₂².
Σi=1²i
Σ=1W;2
i=1
i=1

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