Quality In Manufacturing : US Minting and Nickel Weight

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Presentation transcript:

Quality In Manufacturing : US Minting and Nickel Weight Kate Gilland Team #15

Executive Summary Concern that the nickel specifications are not being met during manufacturing Research and collect data to be able to test this concern. Conclude based on the data analyzed as well as the results generated by the various charts

Specifications Weight: 5.000 g Composition: Cupro-Nickel: 25% Ni, Balance Cu Weight: 5.000 g Diameter: 0.835 in., 21.21 mm Thickness: 1.95 mm Edge: Plain

Data Collection 4.978 4.996 5.002 4.995 5.001 5.008 4.997 5.007 5.003 5.006 4.968 5.010 4.999 4.969 5.010 4.997 5.020 4.992 5.009 5.008 5.005 5.000 4.999 5.006 5.001 5.007 5.008 5.004 5.002 5.011 5.013 4.992 5.004 5.019 5.000 4.965 4.996 4.999 4.978 5.000 4.968 4.989 4.989 4.980 5.015 4.979 5.003 4.991 One nickel was sampled every 10 minutes throughout the course of an 8 hour work day. The results of the weights of these nickels (in grams) is shown here.

Time Series Plot

Test for Normality a probability plot was used to test for the first main assumption of normality. there seems to be a slight ‘S’ pattern , more towards the begininging of the data points. However, it still appears that the weight data for the nickels is normal, with a mean of 4.998 and a standard deviation of 0.01334.

Test for Independence

Control Charts The moving range control chart shows observation 10 as OOC, above the upper control limit.

Estimate of AR(1) model: Xt=4.58260+0.0851 Autocorrelation Final Estimates of Parameters Type Coef SE Coef T P AR 1 0.0831 0.1473 0.56 0.576 Constant 4.58260 0.00194 2363.14 0.000 Mean 4.99782 0.00211 Number of observations: 48 Residuals: SS = 0.00830200 (backforecasts excluded) MS = 0.00018048 DF = 46 Modified Box-Pierce (Ljung-Box) Chi-Square statistic Lag 12 24 36 48 Chi-Square 12.8 19.7 31.5 * DF 10 22 34 * P-Value 0.233 0.605 0.589 * Estimate of AR(1) model: Xt=4.58260+0.0851 T-1

Probability Plot of Residuals

Control Charts of Residuals

Conclusion Only one OOC point Further tests to identify if Minting manufacturing of nickels needs to be altered

Resources http://www.usmint.gov/mint_programs/circulatin gCoins/?action=CircNickel