chance-variability

chance-variability - 52 56 53 58 53 54 53 52 56 58 53 59 45...

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Chapter 17 Expected value and standard error. The box we are dealing with is: 1 1 2 3 4 The average of the numbers in the box is 2 . 2 The SD of the box is 1 . 17. Now we make 25 draws from the box with replacement. The expected value is number of draws × average of box = 25 × 2 . 2 = 55. The standard error is number of draws × SD f the box = 25 × 1 . 17 5 . 8 One hundred repetitions of the experiment of making 25 draws from the box 45 49 68 54 60 53 61 58 56 54 53 70 42 60 60 58 57 58 69 51 59 53 61 53 45 52 50 58 60 59 50 52 67 60 57 51 58 59 58 49 49 58
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Unformatted text preview: 52 56 53 58 53 54 53 52 56 58 53 59 45 61 52 55 60 54 45 58 51 56 58 62 59 50 62 56 56 57 57 54 60 57 58 58 59 55 54 57 61 62 51 66 49 42 54 55 70 52 54 66 50 50 60 64 56 49 The numbers in the table above are between 42 and 70. The average of these numbers is 56 which very close to the expected value of 55. The standard deviation of these numbers is 5.6 which is pretty close to the standard error of 5.8. 1...
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This document was uploaded on 10/29/2011 for the course MATH 127a at Vanderbilt.

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