10-19 Section Solutions.pdf

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STAT20/131 10/19/2016 Section Problem Solutions #6 page 305 (good review of vocabulary) Observed value for the sum of the draws: 45*1 + 23 * 2 + 32 * 3 = 187 Observed value for the number of 3’s : 32 Observed value for the number of 1’s : 45 Expected value for the sum of the draws : 7/4 * (45 + 23 + 32) =175 Expected value for the number of 3’s : ¼ * 100 = 25 Expected value for the number of 1’s : ½ *100 = 50 Chancer error in the sum of the draws : 187 175 = 12 Standard error for the number of ones : Sd * Sqrt(100) = ½ *10 =5 #3 page 319 Exact solution could be found by using the binomial formula in the following way: (100 choose 60) * (1/2) 60 * (1/2) 40 But we can also solve it with approximation. We need to correct for continuity though. The expected number of heads =50. The SE is 5 We will look at the area between 61.5 and 59.5. In standard units this corresponds to looking between 2.1 and 1.9. Using the table we find the area is 1.085 %.
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  • Spring '11
  • Haward

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