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Let X¯ = å n i=1 X i/n and S = å i=1 (X i X¯ )2/(n 1) Find the constant c so that the statistic c(X¯ X n1)/S has a tdistribution If n = 8, determine k such that P(X ¯ kS < X 9 < X¯ kS) = 08 The observed interval (x¯ ks,(x)ks) is often called an 80% prediction interval for X 9 Answer Recall, t = Z p c2(v 1)/(v 1) ˘t(df = v 1. ( Ó ¯ r Â ª » ° $ ü É h e _ M s q e _ > f > g ° " ° w !. Q x ˜˚˚ Ì n Ì w , j t ` o M b {A B C 8» Ów C«x *» Óts b{ yyÜ ¨ å ï Ó ?.

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