Refer to Exercise 7 20 According to Theorem 6 11, are independent chi square random variables with (n 1 1) and (n 2 1) df, respectively Show that is a chi square random variable with (n 1 n 2 2) df Data from Exercise 7 20 Let (y 1 , s 1 2 ) and (y 2 , s 2 2 ) be the means and variances of two indep...

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Refer to Exercise 7.20. According to Theorem 6.11, are independent chi-square random variables with (n 1 -

Question:

Refer to Exercise 7.20. According to Theorem 6.11, are independent chi-square random variables with (n₁ - 1) and (n₂ - 1) df, respectively.

Show that

is a chi-square random variable with (n₁ + n₂ - 2) df.

Data from Exercise 7.20

Let (y̅₁, s₁²) and (y̅₂ , s₂²) be the means and variances of two independent random samples of sizes n₁ and n₂, respectively, selected from normal populations with different means, μ₁ and μ₂, but with a common variance, σ².

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Related Book For answer-question

Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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Question Posted: Apr 15, 2021 07:47 AM

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Refer to Exercise 7.20. According to Theorem 6.11, are independent chi-square random variables with (n 1 -

Question:

(n - 1)s xỉ = and x2 (n - 1)s3

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Statistics For Engineering And The Sciences

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