Refer to Exercise 7.14, where \(n=9\) measurements were made on a key performance indicator.

\[\begin{array}{lllllllll}123 & 106 & 114 & 128 & 113 & 109 & 120 & 102 & 111\end{array}\]

(a) Conduct a test of hypotheses with the intent of showing that the mean key performance indicator is different from 107. Take \(\alpha=0.05\) and assume a normal population.

(b) Based on your conclusion in part (a), what error could you have made? Explain in the context of the problem.

Data From Exercise 7.14

Transcribed Image Text:

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