3. (20 pts) Hypothesis Testing. To monitor complex chemical processes, chemical engineers will consider key process...

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3. (20 pts) Hypothesis Testing. To monitor complex chemical processes, chemical engineers will consider key process indicators, which may be just yield but most often depend on several qualities. 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 a. What can the engineer assert with 95% confidence about the maximum error if he uses the sample mean to estimate the true mean value of the performance indicator? b. If you wanted to show that the mean key performance indicator is different from the true mean of =107, your null and alternative hypothesis would be: Ho and H: for your test. c. What is the appropriate decision parameter (under what conditions will you reject the null)? d. Determine the sample statistic for the data. e. Is there sufficient evidence at the 95% level of confidence to reject and null and conclude that the key performance indicator is different from the true mean? Explain why or why not. 3. (20 pts) Hypothesis Testing. To monitor complex chemical processes, chemical engineers will consider key process indicators, which may be just yield but most often depend on several qualities. 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 a. What can the engineer assert with 95% confidence about the maximum error if he uses the sample mean to estimate the true mean value of the performance indicator? b. If you wanted to show that the mean key performance indicator is different from the true mean of =107, your null and alternative hypothesis would be: Ho and H: for your test. c. What is the appropriate decision parameter (under what conditions will you reject the null)? d. Determine the sample statistic for the data. e. Is there sufficient evidence at the 95% level of confidence to reject and null and conclude that the key performance indicator is different from the true mean? Explain why or why not.