lec06_handout - Error Analysis - Statistics Accuracy and...

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ME365 Statistics 1 Error Analysis - Statistics Accuracy and Precision Individual Measurement Uncertainty – Distribution of Data – Means, Variance and Standard Deviation –C o n f i d e n c e I n t e r v a l Uncertainty of Quantity calculated from several Measurements – Error Propagation Least Squares Fitting of Data Hypothesis Testing - χ 2 Test ME365 Statistics 2 From Last Time Population mean and standard deviation Sampled mean and standard deviation
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ME365 Statistics 3 Statistical Analysis Ex:The inlet pressure of a steam generator was measured 100 times during a 12 hour period. The specified inlet pressure is 4.00 MPa, with 0.7% allowable fluctuation. The measured data is summarized in the following table: Pressure (P)(MPa) Number of Results (m) 3.970 1 3.980 3 3.990 12 4.000 25 4.010 33 4.020 17 4.030 6 4.040 2 4.050 1 (1) Calculate the mean, variance and standard deviation. (2) Given the data, what pressure range will contain 95% of the data? ME365 Statistics 4 Sampled Mean Statistics –I f w e t a k e N measurements for multiple times, the sampled mean for each of the N
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This note was uploaded on 12/26/2011 for the course ME 365 taught by Professor Merkle during the Fall '07 term at Purdue University-West Lafayette.

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lec06_handout - Error Analysis - Statistics Accuracy and...

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