Assume are independent , normal random variables where and for i = 1, 2, 3. For each of the...

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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  
	
Document Preview: 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

David · Accepted Answer

1. Assume 1 2 3, ,X X X are independent , normal random variables where   2iE X i  and 
  23iVar X i  for i = 1, 2, 3.  For each of the following situations, use 1 2 3, ,X X X  to construct a 
statistic with the indicated distribution. Briefly explain your reasoning in each situation.
a) (5 points) Standard Normal Distribution, (0,

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...

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