Statistical Table 0 D 16 415 4 4918 Observation Chart for Averages Chart for Rames in sample Factors for Control Limits Factor for Factors for Control Limits Center Line A A 2 d d 2.121 D 1.850 2.659 1128 3 0.850 1.732 1.023 1.954 1.693 Q. 4 1.500 0.729 1.628 2.059 5 OBRO 0 1.142 OST 2.126 0864 0 Observation Chart for Medians in sample Factor for Factors for Control Limits Center tine ds AR A DA 2 0.954 2.224 LO 3.865 3 1.58 1205 1.190 2745 4 1.978 0,109 000 0 2.375 2.252 0212 0.600 2.1 D chart for Standard Deviations Factor for Factor for Controllimit Center Une EL 0.7979 a 3267 0.8862 0 2.566 13 0 2.266 0.900 0 Di 2.267 2574 2.282 2.114 2.606 2.216 0 D 0 0 1.964 SOOOO 1-2 Q3-Performance capability Indices A quality engineer collected process data. The process average process standard deviation, upper specification limits (US), and lower specification limit (LSL) are summarised in Table below. Table 3. Process Data Process data 13.01 Average X Standard deviations USL LSL 0.04 13.10 12.90 (3-1) Calculate the process performance Index Answer P (3.2) Calculate the process performance index Pok Answer Pok 1-7 Q4 - Moving average and moving range A quality engineer collected process data in Table 4 below. Table 4. Subgroup Data Subgroup Average Range R 1 1.00 0.02 2 12.97 0.03 3 13.0: 0.02 4 12.50 0.04 5 12.95 0.02 (4-1) Calculate moving averages and moving ranges of four subgroups and the table below 1 Subgroup Moving average Moving range 2 1 4 5 06 - Median and range chart using average of group medias A quality engineer collected process data for five growth chocowe samples (2). The median and range of samples achub din tabel Table & Show Duta 4 1 12.01 Qs - Moving average and moving range chart The moving averages and moving ranges three subgroups (n=3) are summarized in Table 5 below. Table 5. Subgroup Data 3 4 5 12.98 12.99 12.97 0.03 0.01 0.02 Subgroup 1 Moving average X Moving range (5-1) Calculate the center line X of moving average chart. Center line of moving average X chart Answer (5-2) Calculate the average range R, which is also the center line of moving range chart. Answer Average range R (5-3) Calculate the upper controllimit (UCL) and the lower controllimit (LCL) of moving average & chart. Answer UCL of moving average X chart LCL of moving average X chart (5-4) Calculate the upper controllimit (UCL) and the lower controllimit (LCL) of moving range chart. Answer UCL of moving range R chart LCL of moving range R chart 1-9 26- Median and range chart using average of subgroup medians A quality engineer collected process data for five subgroups with each subgroup consisting of two samples (n=2). The median and ranges of samples in each subgroup are summarized in Table 6 below. Table 6. Subgroup Data Subgroup Median Range 1 2 3 4 5 12.97 12.95 13.02 13.00 13.01 0.06 0.05 0.02 0.01 0.01 (6-1) Calculate the center line of median chart using average of subgroup medians. Answer Center line of median chart (6-2) Calculate the average range R, which is also the center line of range chart. Answer Average range R (6-3) Calculate the upper controllimit (UCL) and the lower controllimit (LCLof median chart. Answer UCL of median chart LCL of median chart (6-4) Calculate the upper controllimit (UCL) and the lower controllimit (LL) of range chart. Answer UCL of range chart LCL of range chart 1-10 Q7 - Median and range chart using median of subgroup medians A quality engineer collected process data for five subgroups with each subgroup consisting of two samples (n=2). The median and ranges of samples in each subgroup are summarized in Table 6 below. Table 6. Subgroup Data Subgroup Median Range 1 2 3 4 5 12.97 12.95 13.02 13.00 12.01 0.06 0.05 0.02 0.01 0.01 (7-1) Calculate the center line of median chart using median of subgroup medians. Answer Center line of median chart (7-2) Calculate the median of subgroup ranges, which is also the center line of range chart. Answer Average range R (7-3) Calculate the upper controllimit (UCL) and the lower controllimit (LL) of median chart. Answer UCL of median chart LCL of median chart (7-4) Calculate the upper controllimit (UCL) and the lower controllimit (LC) of range chart. Answer UCL of range chart LCL of range chart