Assume are independent normal random variables where

Assume are independent normal random variables where and for i = 1 2 3. For each of the following situations use to construct a statistic with the indicated distribution. Briefly explain your reasoning in each situation.(5 points) Standard Normal Distribution
(5 points) Distribution with 2 degrees of freedom
(10 points) Distribution with 2 degrees of freedom Assume are independent normal random variables where and for i = 1 2 3. For each of the following situations use to construct a statistic with the indicated distribution. Briefly explain your reasoning in each situation.(5 points) Standard Normal Distribution
(5 points) Distribution with 2 degrees of freedom
(10 points) Distribution with 2 degrees of freedom
Attachments: