The workers in a packaging operation shovel 30 kilograms of a granular product f

Question

The workers in a packaging operation shovel 30 kilograms of a granular product from a large pile into sacks that are then sealed and placed on pallets for shipping. The scale used by the workers is accurate, and an effort has been made to educate the workers about the need to measure each weight carefully. A sequence of 25 subgroups, each consisting of the weights of five sacks, has been recorded. a. Construct a control chart for the data above. Use zone boundaries. b. Is the process in control? If not. when does the out-of-control behavior occur? c. Drop the out-of-control points (assuming you have discovered any and changed the process to resolve the special causes) and recompute the control chart Is the process now in control? If not. when does the out-of-control behavior occur?

Explanation / Answer

a) Below is the data for the control chart:

b. The process seems to be under control within 3 sigmas above and belod mean.

c. There is no points to be dropped out, So the chart is same as Answer a.

Subgroup Obs Weight Weight **2 LCL = mean - 3*sd UCL = mean+3*sd In control? 1 1 35.4 1253.16 34.02364742 36.48355258 TRUE 1 2 35.6 1267.36 34.02364742 36.48355258 TRUE 1 3 34.8 1211.04 34.02364742 36.48355258 TRUE 1 4 34.7 1204.09 34.02364742 36.48355258 TRUE 1 5 34.8 1211.04 34.02364742 36.48355258 TRUE 2 1 36 1296 34.02364742 36.48355258 TRUE 2 2 35.6 1267.36 34.02364742 36.48355258 TRUE 2 3 34.9 1218.01 34.02364742 36.48355258 TRUE 2 4 34.8 1211.04 34.02364742 36.48355258 TRUE 2 5 35.9 1288.81 34.02364742 36.48355258 TRUE 3 1 35.2 1239.04 34.02364742 36.48355258 TRUE 3 2 35 1225 34.02364742 36.48355258 TRUE 3 3 35 1225 34.02364742 36.48355258 TRUE 3 4 35.4 1253.16 34.02364742 36.48355258 TRUE 3 5 35.1 1232.01 34.02364742 36.48355258 TRUE 4 1 34.8 1211.04 34.02364742 36.48355258 TRUE 4 2 35.8 1281.64 34.02364742 36.48355258 TRUE 4 3 35.2 1239.04 34.02364742 36.48355258 TRUE 4 4 35 1225 34.02364742 36.48355258 TRUE 4 5 34.9 1218.01 34.02364742 36.48355258 TRUE 5 1 34.2 1169.64 34.02364742 36.48355258 TRUE 5 2 35 1225 34.02364742 36.48355258 TRUE 5 3 36.1 1303.21 34.02364742 36.48355258 TRUE 5 4 34.9 1218.01 34.02364742 36.48355258 TRUE 5 5 35.1 1232.01 34.02364742 36.48355258 TRUE 6 1 36 1296 34.02364742 36.48355258 TRUE 6 2 35 1225 34.02364742 36.48355258 TRUE 6 3 35.2 1239.04 34.02364742 36.48355258 TRUE 6 4 34.8 1211.04 34.02364742 36.48355258 TRUE 6 5 34.9 1218.01 34.02364742 36.48355258 TRUE 7 1 36.1 1303.21 34.02364742 36.48355258 TRUE 7 2 34.9 1218.01 34.02364742 36.48355258 TRUE 7 3 34.5 1190.25 34.02364742 36.48355258 TRUE 7 4 35 1225 34.02364742 36.48355258 TRUE 7 5 35.1 1232.01 34.02364742 36.48355258 TRUE 8 1 35.1 1232.01 34.02364742 36.48355258 TRUE 8 2 35 1225 34.02364742 36.48355258 TRUE 8 3 35.6 1267.36 34.02364742 36.48355258 TRUE 8 4 34.9 1218.01 34.02364742 36.48355258 TRUE 8 5 36.2 1310.44 34.02364742 36.48355258 TRUE 9 1 35 1225 34.02364742 36.48355258 TRUE 9 2 35.6 1267.36 34.02364742 36.48355258 TRUE 9 3 36.1 1303.21 34.02364742 36.48355258 TRUE 9 4 34.8 1211.04 34.02364742 36.48355258 TRUE 9 5 35.6 1267.36 34.02364742 36.48355258 TRUE 10 1 35.4 1253.16 34.02364742 36.48355258 TRUE 10 2 35.8 1281.64 34.02364742 36.48355258 TRUE 10 3 36 1296 34.02364742 36.48355258 TRUE 10 4 34.2 1169.64 34.02364742 36.48355258 TRUE 10 5 36 1296 34.02364742 36.48355258 TRUE 11 1 35.2 1239.04 34.02364742 36.48355258 TRUE 11 2 35.3 1246.09 34.02364742 36.48355258 TRUE 11 3 35.2 1239.04 34.02364742 36.48355258 TRUE 11 4 35.9 1288.81 34.02364742 36.48355258 TRUE 11 5 34.8 1211.04 34.02364742 36.48355258 TRUE 12 1 35.9 1288.81 34.02364742 36.48355258 TRUE 12 2 36 1296 34.02364742 36.48355258 TRUE 12 3 35.1 1232.01 34.02364742 36.48355258 TRUE 12 4 35.1 1232.01 34.02364742 36.48355258 TRUE 12 5 35.6 1267.36 34.02364742 36.48355258 TRUE 13 1 35.2 1239.04 34.02364742 36.48355258 TRUE 13 2 35.6 1267.36 34.02364742 36.48355258 TRUE 13 3 35 1225 34.02364742 36.48355258 TRUE 13 4 34.9 1218.01 34.02364742 36.48355258 TRUE 13 5 35 1225 34.02364742 36.48355258 TRUE 14 1 35.2 1239.04 34.02364742 36.48355258 TRUE 14 2 35.6 1267.36 34.02364742 36.48355258 TRUE 14 3 35.8 1281.64 34.02364742 36.48355258 TRUE 14 4 35 1225 34.02364742 36.48355258 TRUE 14 5 35.1 1232.01 34.02364742 36.48355258 TRUE 15 1 34.9 1218.01 34.02364742 36.48355258 TRUE 15 2 34.8 1211.04 34.02364742 36.48355258 TRUE 15 3 35 1225 34.02364742 36.48355258 TRUE 15 4 35.2 1239.04 34.02364742 36.48355258 TRUE 15 5 34.9 1218.01 34.02364742 36.48355258 TRUE 16 1 35.2 1239.04 34.02364742 36.48355258 TRUE 16 2 35.3 1246.09 34.02364742 36.48355258 TRUE 16 3 35.2 1239.04 34.02364742 36.48355258 TRUE 16 4 35.6 1267.36 34.02364742 36.48355258 TRUE 16 5 35.1 1232.01 34.02364742 36.48355258 TRUE 17 1 35.6 1267.36 34.02364742 36.48355258 TRUE 17 2 35.8 1281.64 34.02364742 36.48355258 TRUE 17 3 35.2 1239.04 34.02364742 36.48355258 TRUE 17 4 35.4 1253.16 34.02364742 36.48355258 TRUE 17 5 34.9 1218.01 34.02364742 36.48355258 TRUE 18 1 35.2 1239.04 34.02364742 36.48355258 TRUE 18 2 35.6 1267.36 34.02364742 36.48355258 TRUE 18 3 35.4 1253.16 34.02364742 36.48355258 TRUE 18 4 35.6 1267.36 34.02364742 36.48355258 TRUE 18 5 35.2 1239.04 34.02364742 36.48355258 TRUE 19 1 34.7 1204.09 34.02364742 36.48355258 TRUE 19 2 34.9 1218.01 34.02364742 36.48355258 TRUE 19 3 35.6 1267.36 34.02364742 36.48355258 TRUE 19 4 35.2 1239.04 34.02364742 36.48355258 TRUE 19 5 35 1225 34.02364742 36.48355258 TRUE 20 1 35 1225 34.02364742 36.48355258 TRUE 20 2 35.1 1232.01 34.02364742 36.48355258 TRUE 20 3 35.6 1267.36 34.02364742 36.48355258 TRUE 20 4 35 1225 34.02364742 36.48355258 TRUE 20 5 35.1 1232.01 34.02364742 36.48355258 TRUE 21 1 35.6 1267.36 34.02364742 36.48355258 TRUE 21 2 35 1225 34.02364742 36.48355258 TRUE 21 3 35.8 1281.64 34.02364742 36.48355258 TRUE 21 4 35.2 1239.04 34.02364742 36.48355258 TRUE 21 5 34.6 1197.16 34.02364742 36.48355258 TRUE 22 1 34.9 1218.01 34.02364742 36.48355258 TRUE 22 2 35.1 1232.01 34.02364742 36.48355258 TRUE 22 3 35.6 1267.36 34.02364742 36.48355258 TRUE 22 4 35 1225 34.02364742 36.48355258 TRUE 22 5 35.1 1232.01 34.02364742 36.48355258 TRUE 23 1 35.9 1288.81 34.02364742 36.48355258 TRUE 23 2 36 1296 34.02364742 36.48355258 TRUE 23 3 35.2 1239.04 34.02364742 36.48355258 TRUE 23 4 36 1296 34.02364742 36.48355258 TRUE 23 5 35.2 1239.04 34.02364742 36.48355258 TRUE 24 1 35.2 1239.04 34.02364742 36.48355258 TRUE 24 2 35.1 1232.01 34.02364742 36.48355258 TRUE 24 3 35.4 1253.16 34.02364742 36.48355258 TRUE 24 4 34.9 1218.01 34.02364742 36.48355258 TRUE 24 5 35.1 1232.01 34.02364742 36.48355258 TRUE 25 1 35.2 1239.04 34.02364742 36.48355258 TRUE 25 2 35.2 1239.04 34.02364742 36.48355258 TRUE 25 3 35.1 1232.01 34.02364742 36.48355258 TRUE 25 4 35.6 1267.36 34.02364742 36.48355258 TRUE 24 5 34.9 1218.01 34.02364742 36.48355258 TRUE Sum = 4406.7 155373.05 Mean = 35.2536 1242.9844 SD = 0.409984195

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.