stats week7 - Sarah Anderson stats week 7 Exercise 4 (page...

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stats week 7 Exercise 4 (page 265) Exercise 6 (page 270) DONE Exercise 12 (page 278) DONE Exercises 16, 18 (page 281) DONE 4.) 6.) With reposition. n = 2 a)(2,2), (2,2),(2,4), (2,4), (2, 8) (2,2), (2,2),(2,4), (2,4), (2, 8) (4,2), (4,2),(4,4), (4,4), (4, 8) (4,2), (4,2),(4,4), (4,4), (4, 8) (8,2), (8,2),(8,4), (8,4), (8, 8) Means 2, 2, 3, 3, 5 2, 2, 3, 3, 5 3, 3, 4, 4, 6 3, 3, 4, 4, 6 5, 5, 6, 6, 8 xmean(i). ..f(i) 2.............. 4 3.............. 8 4 . ............ 4 5 . ............ 4 6.............. 4 8.............. 1 n.............. 25 Xmean = (2*4 + 3*8 + 4*4 + 5*4 + 6*4 + 8*1)/25 = 4 Population mean = μx = (2 + 2 + 4 + 4 + 8)/5 = 4 V(X) = (2^2 + 2^2 + 4^2 + 4^2 + 8^2 - 5*4^2)/5 = 24/5 = 4.8 V(Xmean) = ((2^2)*4 + (3^2)*8 + (4^2)*4 + (5^2)*4 + (6^2)*4 + (8^2)*1 - 25*4^2)/25 = 12/5 = 2.4 The means are equals and V(Xmean) = V(X)/n, as established in the Central Limit Theorem. 12.)
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This note was uploaded on 04/12/2011 for the course STAT 2610 taught by Professor Sanjeev during the Spring '11 term at Bemidji State.

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stats week7 - Sarah Anderson stats week 7 Exercise 4 (page...

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