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

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Sarah Anderson 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.) Data: 2(5), 3(9), 4(3), 5(2), 7, n= 20
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Σx= 66 , µ= 3.3 , σn-1= 1.260743 , σn= 1.228821 Mode is: 3 Median = 3 sample 1 Data: 2(2), 3(3), n= 5 Σx= 13 , µ= 2.6 , σn-1= .5477226 , σn= .4898979 sample Data: 2, 3(2), 4(2), n= 5 Σx= 16 , µ= 3.2 , σn-1= .83666 , σn= .7483315 sample Data: 2(2), 3(2), 7, n= 5
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