Quantitative Question 1 Machine Operator Strength Temp 1 1 109 32.43277 1 2 110 30.48653 1 2 110 17.37635 1 115 3 20.47988 1 108 16.6879 3 1 109 23.60971 4 1 110 18.75972 4 1 108 17.20057 1 2 110 33.3661 1 2 112 20.39225 2 2 110 20.78549 2 2 111 26.47513 3 2 111 31.56659 3 2 109 27.74256 4 2 114 25.01867 4 2 112 26.22669 1 3 116 29.11883 1 3 114 28.20051 2 3 112 22.7441 2 3 115 21.34233 3 3 114 17.83168 3 3 119 30.53097 4 3 120 25.20238 4 3 117 29.75309 Using this data file, complete the following: a) Calculate the summary statistics - i.e. mean, mode, median, sample variance, sample standard deviation, and range - for the Strength and Temperature. b) What plot, graph or diagram would you use to determine if the data for the Strength and Temperature is normally distributed? Show the plot, graph, or diagram and explain whether or not the data is normally distributed. c) For the Strength and Temperature, calculate the following three sets of limits: xbar 1s, xbar 2s, xbar 3s. For each set, calculate the percentage of data points that fall within the limits. How do these compare to the theoretical percentages of the empirical rule? d) Does the operator or machine have a statistically significant effect on the Strength? Show the results of your analysis and explain what the analysis shows. e) Does the operator or machine have a statistically significant effect on the Temperature? Show the results of your analysis and explain what the analysis shows. f) Is there any interaction between the Strength and Temperature? Show the results of your analysis and explain what the analysis shows. Quantitative Question 1 Machine Operator Strength Temp 1 1 109 32.43277 1 2 110 30.48653 1 2 110 17.37635 1 115 3 20.47988 1 108 16.6879 3 1 109 23.60971 4 1 110 18.75972 4 1 108 17.20057 1 2 110 33.3661 1 2 112 20.39225 2 2 110 20.78549 2 2 111 26.47513 3 2 111 31.56659 3 2 109 27.74256 4 2 114 25.01867 4 2 112 26.22669 1 3 116 29.11883 1 3 114 28.20051 2 3 112 22.7441 2 3 115 21.34233 3 3 114 17.83168 3 3 119 30.53097 4 3 120 25.20238 4 3 117 29.75309 Using this data file, complete the following: a) Calculate the summary statistics - i.e. mean, mode, median, sample variance, sample standard deviation, and range - for the Strength and Temperature. b) What plot, graph or diagram would you use to determine if the data for the Strength and Temperature is normally distributed? Show the plot, graph, or diagram and explain whether or not the data is normally distributed. c) For the Strength and Temperature, calculate the following three sets of limits: xbar 1s, xbar 2s, xbar 3s. For each set, calculate the percentage of data points that fall within the limits. How do these compare to the theoretical percentages of the empirical rule? d) Does the operator or machine have a statistically significant effect on the Strength? Show the results of your analysis and explain what the analysis shows. e) Does the operator or machine have a statistically significant effect on the Temperature? Show the results of your analysis and explain what the analysis shows. f) Is there any interaction between the Strength and Temperature? Show the results of your analysis and explain what the analysis shows.