Solution Found!
Suppose that Y1, Y2, . . . , Y5, Y6, Y , W, and U are as
Chapter 7, Problem 38E(choose chapter or problem)
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.