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