Use the data of Exercise 7.14 to estimate \(\sigma\) for the key performance indicator in terms of

(a) the sample standard deviation;

(b) the sample range.

Compare the two estimates by expressing their difference as a percentage of the first.

Data From Exercise 7.14

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7.14 To monitor complex chemical processes, chemical engineers will consider key process indicators, which may be just yield but most often depend on several quantities. Before trying to improve a process, n = 9 measurements were made on a key performance indicator. 123 106 114 128 113 109 120 102 111