When Y,.Y,.Y, is a random sample from N(u,o), we learned in class that the statistic T =- Y-u has t distribution with n-1 degrees of freedom, where Y and S are n-1 the sample mean and sample standard...

Extracted text: When Y,.Y,.Y, is a random sample from N(u,o), we learned in class that the statistic T =- Y-u has t distribution with n-1 degrees of freedom, where Y and S are n-1 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 xrandom variables, each divided by their respective degrees of freedom. What is, therefore, the distribution of T ?,