ENCH 213 Lecture Notes - Sodium Carbonate, Confidence Interval, Approximation Error
5 Nov 2013
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Document Summary
Error propagation: must propagate error to find the overall error errors can be estimated through statistical analysis following replicate measurements by being careful: possible to get high accuracy and precision, eliminate systematic errors, minimize random errors. If large number of individual errors: gaussian curve. Ways to look at the data example: % pcb in soil (large sample)= 7. 7, 4. 5, 6. 9, 4. 9, 5. 3, 6. 9, 5. 9, 1. 1 % arithmetic mean : n = 8 = number of measurements. For infinite set of data: = population mean. = population standard deviation on general, distribution of replicate measurements gaussian curve: distribution of the population for finite set of data: x, s. 3 observations: median usually better estimate of true central value. Company making tires with a mean lifetime = 100,000 km, s = 8,600 km. What should be the lifetime warranty on the tires if the company does not want to reimburse more than.
