When Y,,Y,..,Y, is a random sample from N(u,0), we learned in class that the statistic T S " has t distribution with n-1 degrees of freedom, where Y and S are the sample mean and sample standard...

Extracted text: When Y,,Y,..,Y, is a random sample from N(u,0), we learned in class that the statistic T S " 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 T? and show algebraically that T' can be written as the ratio of two independent x random variables, each divided by their respective degrees of freedom. What is, therefore, the distribution of T?