Question

Question 11

11. In a gasoline-blending plant, the quality of the output as indicated by its octane rating is measured for a sample taken from each batch. The observations from 20 such samples are shown in Table. Construct a chart for the moving range of two successive observations and a chart for individuals Octane Octane Octane SampleRtigSample Rating Sample Rating Sample Rating 89.2 86.5 88.4 91.8 90.3 87.5 92.6 87.0 89.8 92.2 12 13 14 15 85.4 91.6 87.7 85.0 91.5 16 18 20 90.3 85.6 90.9 82.1 85.8 4 10

Answer 1

Individual Range Moving Range Octane Upper Control Lower Control Upper Control Sample Ratin Moving Range Limit Control LimitLimit Control Limit UCL=CL- CL- Average UCL CL+2.66 Avg( CL+Average(Oct 2.66 Avg(Mo UCL-3.268*Avg (Moving Moving range ving range (moving Range Range) 77.63 77.63 77.63 77.63 77.63 77.63 77.63 77.63 77.63 77.63 77.63 77.63 77.63 77.63 77.63 77.63 77.63 77.63 77.63 77.63 ane Ratin 4.11 89.2 86.5 88.4 91.8 90.3 87.5 92.6 99.49 99.49 99.49 99.49 99.49 99.49 88.56 88.56 88.56 88.56 88.56 88.56 88.56 88.56 88.56 88.56 88.56 88.56 88.56 88.56 88.56 88.56 88.56 88.56 88.56 88.56 13.432 13.432 13.432 13.432 13.432 13.432 13.432 13.432 13.432 13.432 13.432 13.432 13.432 13.432 13.432 13.432 13.432 13.432 13.432 13.432 4.11 4.11 4.11 4.11 4 7 99.49 99.49 99.49 4.11 4.11 4.11 89.8 92.2 85.4 91.6 87.7 85 91.5 90.3 4.11 4.11 4.11 99.49 99.49 99.49 99.49 99.49 99.49 99.49 99.49 99.49 15 4.11 4.11 4.11 90.9 82.1 85.8 88.56 4.11 Average

Individual Range Chart 105 100 95 90 85 80 75 70 65 60 Octane Rating _Upper Control Limit Control Limit Lower Control Limit 0 10 15 20 25

Moving Range Chart 16 14 12 10 4 0 15 20 25 10 0 Moving Range Upper Control Limit UCL-3.268 Avg(moving Range Control Limit CL-Average (Moving Range)