Question: 5) If + 2 = E i (Xi - X)2, show that E( 2) = ((n-1))sx 2 and that Var( 2) = (2(n-1) g x
5) If + 2 = E i (Xi - X)2, show that E( 2) = ((n-1))sx 2 and that Var( 2) = (2(n-1) g x 4)2. Use these two results to find MSE( 2). (Hint: Use the fact that - 2 = ((n-1))sx 2.) Does have a smaller mean squared error than does sx 2? (Justify your answer.)
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