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STAT4260 HW2 - Austin Wen STAT 4260 HW 2 Due...

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Austin Wen STAT 4260 HW 2 Due September-03-2010 1. Exercise 1 page.61 a. = + + + + + = yU 98 102 154 133 190 1756 142 b. Let y be the mean of the sample values. c. (Plan 1) d. Sam ple Nu mbe r e. Sampl e, S f. P( S) g. Sam ple mea n ( x ) h. P(S )* ( x ) i. 1 j. 98, 154, 190 k. 1/ 8 l. 147. 333 3 m. 18. 416 67 n. 2 o. 98, 154,17 5 p. 1/ 8 q. 142. 333 3 r. 17.7 916 7 s. 3 t. 98, 133, 190 u. 1/ 8 v. 140. 333 3 w. 17.5 416 7 x. 4 y. 98, 133, 175 z. 1/ 8 aa. 135. 333 3 ab. 16.9 166 7 ac. 5 ad. 102,15 4,190 ae. 1/ 8 af. 148. 6667 ag. 18. 583 33 ah. 6 ai. 102,15 4, 175 aj. 1/ 8 ak. 143. 6667 al. 17.9 583 3 am. 7 an. 102, 133,19 0 ao. 1/ 8 ap. 141. 6667 aq. 17.7 083 3
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ar. 8 as. 102,13 3, 175 at. 1/ 8 au. 136. 6667 av. 17.0 833 3 aw. i. = = * = Ey i 18PSi xi 142 ii. = = *( - ) Vy i 18PSi x Ey 2 = 18.94444 iii. = - = - = Biasy Ey yU 142 142 0 iv. MSE( = +( ) y Vy Biasy 2 =18.94444+0=18.94444 v. ax. (Plan 2) vi. Sampl e Numb er vii. Sample, S viii. P(S) ix. Sampl e mean ( x ) x. P(S)* ( x ) xi. 1 x i i . 9 x i i i . 1 x i v . 1 xv. 1/4 xvi. 135.3333 xvii. 33.83333 xviii. 2 x i x . 1 x x . 1 x x i . 1 xxii. 1/2 xxiii. 143.6667 xxiv. 71.83333 xxv. 3 x x v i . 9 x x v i i . 1 x x v i i i . 1 xxix. 1/4 xxx. 147.3333 xxxi. 36.83333 xxxii. i. = = * = . Ey i 13PSi xi 142 5 ii. = = * - = . Vy i 13PSi x Ey2 19 36
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iii. = - = . - = . Biasy Ey yU 142 5 142 0 5 iv. MSE( = +( ) y Vy Biasy 2 =19.36+(0.25)=19.61 v.
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