I IMEPRO3 Case 2 Pro'blem 1: The temperature of a chemical reactant has been determined to be a crucial factor in obtaining satisfactory yield from a chemical process. The nominal value for this temperature is supposed to be 150oC. The temperature of the reactant is recorded for 40 consecutive hours. These temperature measurements, recorded as the deviation from the desired value of 150oC, are shown in the table. Sample 2 3 X, -4.53 7.52 -3.05 4 3.31 5 6 13.27 1 7 8 I 10 11 12 13 14 15 16 17 18 a. Construct -0.68 8.13 -0.35 5.74 3.92 2.43 -0.91 -0.67 5.76 2.44 -0.96 8.72 13.29 19 2.41 20 -1.82 Sample 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 ^ Xt -4.87 5.12 -2.73 -2.11 -2.29 5.45 0.92 4.26 0.03 5.14 -3.91 3.68 11.49 5.45 3.93 10.8 -1.28 10.52 0.91 1.84 the nornral probability plot using the individual measurements and comment on its appearance. b. Construct the c. d. e. appropriate 3o control chart/s for the actual temperature measurements. Construct a 3o EWMA chart with a lambda of 0.2. Evaluate these charts and comment on their appearance. ldentify all statistical signals that indicate out-of-control conditions. Comment on the relative appearance of the two sets of charts. Are there significant differences? lf so, how can these be accounted for or explained? Suppose that the minimum and maximum tolerable temperature level for the process is 145oC and 160oC. Comment on the capability of the process using the different process capability ratios. ISvlL?ROs Case z ?age r Problem 2: , ^ The Gauge Capability Procedure (as adopted from Statisticalprocess Control and Quality lmprovement 3rd ed. by Geratd M. Sm'ith). Sfep 7: Choose any product which can be measured using a Vernier Caliper or a Weighing Scale (Digital or Mechanical-Dial). Each group should have a different product compared to other groups. SJgeThe pieces being measured should be numbered.(1 to 10). Sfep 3; The measurements should be taken using only one caliper or one weiohino scale and should be done in random order. Step 4: A set of "blind" measurements is best: The individual taking the measurement does not know which piece being measured, wnat the previous measurements were on that piece, or what measurements other individuals found on that piece. Sfep 5: Record all measurements on the worksheet. There is room on the worksheet for is Sfep 6: After all the measuremenis are tat