Question: 50. Knowing that for a normal random sample, a. Show that E(S2) s2. b. Show that V(S2) 2s4/(n 1). What happens to

50. Knowing that for a normal random sample,

a. Show that E(S2)  s2.

b. Show that V(S2)  2s4/(n  1). What happens to this variance as n gets large?

c. Apply Equation (6.12) to show that Then show that if n  2. Is it true that E(S)  s for normal data?

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