# TP#20_f08 - CE 3102 Fall 2008 Thought Problem#20 Location...

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Unformatted text preview: CE 3102 Fall 2008 Thought Problem #20 Location, Location In 1800-1801 David Thompson, a surveyor and trader working for the Northwest Company, made the following estimates of the longitude of Rocky Mountain House, in western Alberta: 115 o 12.0’ = 115+(12.0/60) = 115.2 114 o 57.75’ = 114+(57.75/70) = 114.963 115 o 11.0’ 115.183 114 o 51.25’ 114.854 114 o 39.0’ 114.65 114 o 36.0’ 114.6 114 o 13.0’ 114.217 114 o 28.75’ 114.479 114 o 26.75’ 114.446 114 o 52.25’ 114.871 114 o 59.75’ 114.996 115 o 11.0’ 115.183 114 o 44.25’ 114.737 (a) What is the 95% confidence interval for the mean of Thompson’s measurements? (b) A modern value for the longitude of this location is 114 o 58’50”. Can we conclude that Thompson’s method is biased? (c) In 2005 a mathematician at the University of Calgary recomputed Thompson’s longitude estimates, using Thompson’s original measurements but a modern table of the Moon’s positions. The average longitude was 115.05 o , and the estimated standard deviation of 0.227 o . Can we conclude that Thompson’s method was biased? Fall 2008 Thought Problem #20 Location, Location Instructor’s Partial solution In 1800-1801 David Thompson, a surveyor and trader working for the Northwest Company, made the following estimates of the longitude of Rocky Mountain House, in western Alberta: (a) What is the 95% confidence interval for the mean of Thompson’s measurements?...
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TP#20_f08 - CE 3102 Fall 2008 Thought Problem#20 Location...

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