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INE 326 Statistical Quality Control – Spring 2012 (HW#3 Solution) CH 6 6.2. The net weight (in oz) of a dry bleach product is to be monitored by and R control charts using a sample size of n=5. Data for 20 preliminary samples are shown in Table 6E.2. Table 6E.2 (a)Set up and R control charts using these data. Does the process exhibit statistical control? (b)Estimate the process mean and standard deviation. (c)Does fill weight seem to follow a normal distribution? (d)If the specifications are at 16.2±0.5, what conclusions would you draw about process capability? (e)What fraction of containers produced by this process is likely to be below the lower specification limit of 15.7 oz?
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Sol) (a) The process is in statistical control with no out-of-control signals, runs, trends, or cycles. (b) 25; 16.268; 0.475; /0.204xnxRRdσ===(c) Shapiro-Wilk Test Test result W = 0.96475293 Fail to reject H0(=Normal distribution)