Q 4(b) [15 Marks] The data in the table below was obtained from conducting five replications of five alternative configurations of a manufacturing system and determining the average daily throughput of the systems. Answer the following questions in relation to Output Analysis for comparing multiple alternatives: i. If system 1 is considered to be the standard and we wish to compare the performance of each of the other systems to the standard and obtain a 90% confidence that all the confidence intervals simultaneously contain their true means at what confidence level should the individual confidence intervals be constructed? (5 Marks) ii. Using the paired t-test approach, determine a confidence interval for the difference between systems 1 and 5. (8 Marks) iii. Given the data in the table below and the result from part ii.) above, how have each of the systems performed in comparison to the standard? (2 Marks) Q 4(b) [15 Marks] The data in the table below was obtained from conducting five replications of five alternative configurations of a manufacturing system and determining the average daily throughput of the systems. Answer the following questions in relation to Output Analysis for comparing multiple alternatives: i. If system 1 is considered to be the standard and we wish to compare the performance of each of the other systems to the standard and obtain a 90% confidence that all the confidence intervals simultaneously contain their true means at what confidence level should the individual confidence intervals be constructed? (5 Marks) ii. Using the paired t-test approach, determine a confidence interval for the difference between systems 1 and 5. (8 Marks) iii. Given the data in the table below and the result from part ii.) above, how have each of the systems performed in comparison to the standard? (2 Marks)