Suppose that Y1, Y2, . . . , Y5, Y6, Y , W, and U are as

Chapter 7, Problem 38E

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QUESTION:

Suppose that \(\text { Y1, Y2,,., Y5, Y6, } \bar{Y}, \mathrm{~W}, \text { and } U\) are as defined in Exercise 7.37. What is the

distribution of

\(\sqrt{5} \mathrm{Y} 6 / \sqrt{\mathrm{W}}\)? Why?\(2 \mathrm{Y}_{6} / \sqrt{\mathrm{U}}\)? Why?\(2\left(5 \bar{Y}^{2}+Y_{6}^{2}\right) / \mathrm{U}\)? Why?

Equation Transcription:

Text Transcription:

Y1, Y2,...,Y5,Y6, \bar Y, W, and U

\sqrt 5 Y 6 / \sqrt W

2 Y_6 / \sqrt U

2(5 \bar Y^2+Y_ 6^2) / U

Questions & Answers

QUESTION:

Suppose that \(\text { Y1, Y2,,., Y5, Y6, } \bar{Y}, \mathrm{~W}, \text { and } U\) are as defined in Exercise 7.37. What is the

distribution of

\(\sqrt{5} \mathrm{Y} 6 / \sqrt{\mathrm{W}}\)? Why?\(2 \mathrm{Y}_{6} / \sqrt{\mathrm{U}}\)? Why?\(2\left(5 \bar{Y}^{2}+Y_{6}^{2}\right) / \mathrm{U}\)? Why?

Equation Transcription:

Text Transcription:

Y1, Y2,...,Y5,Y6, \bar Y, W, and U

\sqrt 5 Y 6 / \sqrt W

2 Y_6 / \sqrt U

2(5 \bar Y^2+Y_ 6^2) / U

ANSWER:

Step 1 of 6

Given that,

From Exercise 7.37, Let  follows normal population with mean 0 and variance 1.

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