Statistics -AW-Q43 Online Services
CONTROL CHARTS FOR ATTRIBUTES[25 POINTS]
1. [10 points] Construct a control chart for the data in the posted spreadsheet for emptybottle inspections of a soft drink manufacturer. Assume assignable causes for any points that are out of control and determine revised limits and central line. Show your work.
2. [10 points]Determine the trial central line and control limits for an np-chart using the data in the posted spreadsheet. Plot the values and determine if the process is stable. If there are out-of-control points, assume an assignable cause and determine revised limits and central line.Show your work.
3. [5 points] Assuming that a 10:3:1 demerit weighting system is used, determine the central line and control limits when uc = 0.3, uma = 0.4, umi = 5, and n = 100. If the subgroup inspection results for a particular day are 20 critical, 50 major, and 400 minor nonconformities, determine if the results are in control or out of control.Show your work.
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Homework Problem 1 Homework Problem 2
Construct a control chart for the data below for empty Determine the trial central line and control
bottle inspections of a soft drink manufacturer. Assume limits for an np chart using the following data.
assignable causes for any points that are out of control. Plot the values and determine if the process is
stable. If there are out-of-control points, assume
an assignable cause and determine revised limits and
Number of Bottles Chips, Scratches, Other Foreign Material on Sides Foreign Material on Bottom Total Nonconformities Subgroup Number Number Inspected Number
50 9 9 27 45 1 200 3
50 10 1 29 40 2 200 6
50 8 0 25 33 3 200 4
50 8 2 33 43 4 200 6
50 10 6 36 52 5 200 2
60 12 6 51 69 6 200 18
60 15 2 43 60 7 200 6
60 13 2 35 50 8 200 7
60 12 2 59 73 9 200 3
60 11 1 42 54 10 200 0
60 15 15 25 55 11 200 6
60 12 5 57 74 12 200 9
60 14 2 27 43 13 200 5
60 12 7 42 61 14 200 6
50 11 2 30 43 15 200 7
50 9 4 19 32 16 200 4
50 5 6 34 45 17 200 5
50 8 11 14 33 18 200 7
50 3 9 38 50 19 200 5
50 9 9 10 28 20 200 0
60 13 8 37 58 21 200 2
60 11 5 30 46 22 200 3
60 14 10 47 71 23 200 6
60 12 3 41 56 24 200 1
60 12 2 28 42 25 200 8
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