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Unformatted text preview: . b. A new measuring device, whose uncertainty is only 0.02 m, becomes available. Five independent measurements are made with this device. Let denote the average of these measurements. Find the uncertainty in . c. In order to decrease the uncertainty still further, it is decided to combine the estimates and . One engineer suggests estimating the length with (1/2) + (1/2) . A second engineer argues that since . is based on 10 measurements, while is based on only five, a better estimate is (10/15) + (5/15) . Find the uncertainty in each of these estimates. Which is smaller? d. Find the value c such that the weighted average c +(1-c ) has minimum uncertainty. Find the uncertainty in this weighted average. X X Y Y Y Y Y Y Y X X X X X...
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- Fall '10