16-04-04 - k x 1 5 2 2 3 2 4 3 5 2 6 3 7 1 8 4 9 2 10 1 11...

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16.4.4 A paper mill has decided to use a c -chart to monitor the number of imperfections in large paper sheets. The data set in DS 16.4.4 records the number of imperfections found in k := 22 sheets of paper sampled at different times. Begin by performing calculations for each of those sampling records. n := 1 k x 1 5 2 2 3 2 4 3 5 2 6 3 7 1 8 4 9 2 10 1 11 3 12 1 13 1 14 2 15 3 16 8 17 9 18 3 19 1 20 3 21 1 22 0 AVG 2.7272727 MAX 9 MIN 0 (a) Construct a c -chart. Why does it appear that the process was out of control at certain times while this data set was collected? x := $b24 = 2.72727 UCL := x + 3 x = 7.68161 LCL := max x - 3 x , 0 = 0
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2 4 6 8 10 12 14 16 18 20 22 -1 1 2 3 4 5 6 7 8 9 10 c-Chart k c Two data points have values greater than the UCL. (b) What c -chart would you recommend be used to monitor future samples of paper? Remove the two offending data points and recalculate chart for future monitoring and use in the process.
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Unformatted text preview: k x 1 5 2 2 3 2 4 3 5 2 6 3 7 1 8 4 9 2 10 1 11 3 12 1 13 1 14 2 15 3 16 3 17 1 18 3 19 1 20 uU u x := $B22 = 2.15 UCL := x + 3 x = 6.54886 LCL := max x- 3 x , 0 = 2 4 6 8 10 12 14 16 18-1 1 2 3 4 5 6 7 8 c-Chart k c (c) How many imperfections would need to be discovered in a future randomly sampled paper sheet for the process to be considered to be out of control? ceiling UCL n = 7. The rounding upward takes place because the process requires a whole number of measured defects....
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16-04-04 - k x 1 5 2 2 3 2 4 3 5 2 6 3 7 1 8 4 9 2 10 1 11...

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