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5. When Y,.Y,..Y, is a random sample from N(4,0), we learned in class that the Y-u has 1 distribution with n-1 degrees of freedom, where Y and S are statistic T = - the sample mean and sample standard deviation, respectively. Write out the form of T and show algebraically that T can be written as the ratio of two independent z* random variables, each divided by their respective degrees of freedom. What is, therefore, the distribution of T? (5 pts.)

5. When Y,.Y,..Y, is a random sample from N(4,0), we learned in class that the Y-u has 1 distribution with n-1 degrees of freedom, where Y and S are statistic T = - the sample mean and sample standard deviation, respectively. Write out the form of T and show algebraically that T can be written as the ratio of two independent z* random variables, each divided by their respective degrees of freedom. What is, therefore, the distribution of T? (5 pts.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5. When Y,,Y,..,Y, is a random sample from N(u,0). we learned in class that the Y-u statistic T = has t distribution with n-1 degrees of freedom, where Y and S are the sample mean and sample standard deviation, respectively. Write out the form of T² and show algebraically that T can be written as the ratio of two independent z random variables, each divided by their respective degrees of freedom. What is, therefore, the distribution of T? (5 pts.)
Transcribed Image Text:5. When Y,,Y,..,Y, is a random sample from N(u,0). we learned in class that the Y-u statistic T = has t distribution with n-1 degrees of freedom, where Y and S are the sample mean and sample standard deviation, respectively. Write out the form of T² and show algebraically that T can be written as the ratio of two independent z random variables, each divided by their respective degrees of freedom. What is, therefore, the distribution of T? (5 pts.)
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