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  • 1. 1) The following data represents individual observations of molecular weight taken hourly from a chemical processObservation x Observation x Observation x Observation x no no no no 1 1045 6 1008 11 1139 16 1125 2 1055 7 1050 12 1169 17 1163 3 1037 8 1087 13 1151 18 1188 4 1064 9 1125 14 1128 19 1146 5 1095 10 1146 15 1238 20 1167 The target value of the molecular weight is 1050 and process standard deviation is thought to be 25.setup a tabular CUSUM for the mean of this process. Design CUSUM to detect a shift of about 1.0 times standard deviation in the process mean. 2) A Shewhart X bar chart has centre line at 10 with UCL = 16, and LCL = 4. Suppose you wish to supplement this chart with an EWMAcontrol chart using /(lambda) =0.1 and the same control limit width in Sigma units as employed on the X bar chart. What are the values of the study state upper and lower control limits on the EWMA chart 3) Analysis the data using a Moving average control chart with w = 5, sample No x sample No x 1 8.00 13 8.05 2 8.01 14 8.04 3 8.02 15 8.03 4 8.01 16 8.05 5 8.00 17 8.06 6 8.01 18 8.04 7 8.06 19 8.05 8 8.07 20 8.06 9 8.01 21 8.04 10 8.04 22 8.02 11 8.02 23 8.03 12 8.01 24 8.05 4) The data shown here come from a production process with two observable quality characteristics x1, x2. The data are sample means of each quality characteristic, based on the samples of size n=25. Assume that mean value of the quality characteristics and the co variance matrix were computed from 50 preliminary samples. X
  • 2. Observation no X1 X2 Observation no X1 X2 1 58 32 9 46 25 2 60 33 10 50 29 3 50 27 11 49 27 4 54 31 12 57 30 5 63 38 13 58 33 6 53 30 14 75 45 7 42 20 15 55 27 8 55 31Means values of X1 and X2 are 55 and 30 respectively.S= 200 130 130 120Construct a T2 control chart using this data. Use the phase 2 control limits.

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