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Attribute Data Chart Formulas Chart Type Subgroup Size Control Limits p Chart Fraction Defective Variable or Constant Central Line: D-p/ UCL = p+3V (1-P)/ LCL =-3V (1-P)/ Central Line: no = np/k UCL = np +3 Vnp (1-5) LCL = np - 3Vmp (1-5) np Chart Constant Number Defective c Chart Number of Defects Constant Central Line: T = Ec/k UCL = T+3VE LCL = 7 -3 VE u Chart Number of Defects Per Unit Variable or Constant Central Line: ={c/En UCL = +3VT LCL = - 3 Vln Terms Defraction of defective units mpanumber of defective units Cunumber of defects u number of defects per unit n subgroup sample size K-number of subgroups UCL upper controllimit LCL lower controllimit Chapter 13 Attribute Control Charts Discussion Assignment 1. The following tables gives the number of defective product found while inspecting a series of 12 consecutive lots of galvanized washers for finish defects such as exposed steel, rough galvanizing and discoloration. A sample size of n=200 was used for each lot. Find the centerline and control limits for a fraction defective chart (p.) Defective 0 0 Sample Size 200 200 200 200 200 200 Sample Defective Size 0 200 1 200 2 200 0 200 1 200 1 200 1 0 3 1 2. For the following information, create an np control chart: np np np 5 6 Sample size 50 50 50 50 50 50 50 50 50 50 12 15 8 10 4 7 16 Sample size 50 50 50 50 50 50 50 50 50 50 12 22 8 10 5 13 Sample size 50 50 50 50 50 50 50 50 50 50 20 18 24 15 9 12 7 13 9 6 14 10 3. A production line manufacturers compact discs. Twice an hour, one CD is selected at random from those made during the hour. Each disc is inspected separately for imperfections (defects, such as scratches, nicks, discolorations and dents. The resulting count of imperfections from each disc is recorded on a control chart. Use the following data to create a c chart. Imperfections Imperfections Imperfections Hour 1 2 3 4 5 6 7 8 Hour 11 12 13 14 15 16 17 18 19 20 Hour 21 22 23 24 25 2 0 2 1 0 1 0 2 0 2 2 0 2 1 0 1 2 0 1 1 0 0 2 4 1 CO 10 4. When printing full color glossy magazine advertising pages, editors do not like to see blemishes or pics (very small places where the color did not transfer to the paper.) One person at the printer has the job of looking at samples of magazine pages (n=20) and counting blemishes. Below are her results. The editors are interested in plotting the defects per unit on a u chart. Determine the centerline and control limits. Create a chart of this process. If the editors want only two defects per unit on average. How does this compare with the actual process average? Count of defects Count of defects 42 Subgroup number 1 2 3 4 5 65 80 60 50 52 Subgroup number 6 7 8 9 10 35 30 30 25