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Need some assistance with this question, please show work if applicable. Thank you!

A quality analyst wants to construct a control chart for controlling the variability of a packaging process. Each day last we

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Answer #1

The problem is you need to use tables for the 3-sigma chart. If you do not share the version of the table you are using in your class, then I will use mine, and then the final answer may change a bit in decimal places.

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Sample size (n) = 4
Coefficient (A2) = 0.729 (from the table, in your table, it maybe 0.73 or 0.728 and so on)

Day P1 P2 P3 P4 Average Range
Mon 23 22 23 24 23 2
Tue 23 21 19 21 21 4
Wed 20 19 20 21 20 2
Thu 18 19 20 19 19 2
Fri 18 20 22 20 20 4
Avg. 20.6 2.8
X_double-bar R-bar

So,

Upper Control Limit for the range chart, UCL_R = D4 * R-bar = 2.282*2.8 = 6.39

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