Unformatted text preview: ± 2 cm you could say that their heights diﬀer by 3 cm with a total measurement uncertainty of 4 cm (There is 2 cm of uncertainty in Alice’s height and 2 cm uncertainty in Bob’s height), which allows us to say that the diﬀerence in their heights was measured to be 0 . 75 × the total measurement uncertainty. Generally if two values diﬀer by less than 1 × the total measurement uncertainty we say they “agree” with each other. In this case the measured height of Alice and Bob agree (i.e. they are the same height), given our measurement uncertainty – Alice could be anywhere from 152 cm to 156 cm, and Bob could be from 155 cm to 159 cm, so the measurement doesn’t exclude the possibility that they are the same height (for example they could both be 155.5 cm) 5...
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 Fall '08
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 Physics, Alice, 3 cm, measurement uncertainty, 4 cm, total measurement uncertainty

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