To monitor advanced chemical processes, chemical engineers consider key process indicators, which can be just production, but most often depend on several variables. Before trying to improve a process, n = 9 measurements are made on a key performance indicator, obtaining the data: 123 106 114 128 113 109 120 102 111 a) What can the engineer say with 95% confidence about the maximum error if he uses the sample mean to estimate the true mean value of the performance indicator? b) Suppose the key performance indicator has a normal distribution and you obtain a 95% confidence interval for the true value of the indicator.

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To monitor advanced chemical processes, chemical engineers consider key process indicators, which can be just production, but most often depend on several variables.
Before trying to improve a process, n = 9 measurements are made on a key performance indicator, obtaining the data:
123 106 114 128 113 109 120 102 111

a) What can the engineer say with 95% confidence about the maximum error if he uses the sample mean to estimate the true mean value of the performance indicator?

b) Suppose the key performance indicator has a normal distribution and you obtain a 95% confidence interval for the true value of the indicator.

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