Unformatted text preview: So they are the same b) SD for box 1= (29 – (1)) sqrt(1/36*35/36)= 4.93 SD for box 2=(4 – (1)) sqrt(6/36*30/36)= 1.86 SE for option 1 = 4.93 * sqrt(60)=38.19 SE for option 2 = 1.86 * sqrt(60)=14.41 Option 1 has a larger SE, so it is easier to come out ahead with. 3. AV of box = (1+31)/5=0.6 Expected value for sum=0.6*100=60 SD of box=sqrt((0.4^2+2.4^2+(1.6)^2+(0.6)^2+(0.6)^2)/5)=1.356 SE for sum = 1.356*sqrt(100)=13.56 The sum of the odd numbers drawn should be around 60, give or take 13.56...
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 Spring '09
 IBSER
 Statistics, Addition, Errors and residuals in statistics, chance error

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