Q2) [30 points] A quality control engineer needs to ensure that the caps on shampoo bottles are fastened correctly. If the caps are fastened too loosely, they may fall off during shipping. If they are fastened too tightly, they may be too difficult to remove. The target torque value for fastening the caps is 18. The engineer collects a random sample of 68 bottles for two machines and tests the amount of torque that is needed to remove the caps. The table below shows the columns in the file. Worksheet column Description Torque The torque that is needed to remove the cap Machine The machine that tightened the cap: 1 or 2 Part 1) [15 points] As part of the initial investigation, the engineer analyzes the descriptive statistics and graphs to assess the distribution of the data. a) Open the sample data, Cap.MTW. b) Choose Stat > Basic Statistics > Graphical Summary. c) In Variables, enter Torque. d) Click OK e) Report the results and interpret them. (hint: compare the data mean with the target mean) Page 1 of 2 29:799:460 Introduction to Six Sigma and Lean Manufacturing - Spring 2021 f) Does the Confidence Interval for Mean include the target mean of the process? g) Do you confirm that the data has is normally distributed? Justify your answer based on p-value reported on the chart. Q2) [30 points] A quality control engineer needs to ensure that the caps on shampoo bottles are fastened correctly. If the caps are fastened too loosely, they may fall off during shipping. If they are fastened too tightly, they may be too difficult to remove. The target torque value for fastening the caps is 18. The engineer collects a random sample of 68 bottles for two machines and tests the amount of torque that is needed to remove the caps. The table below shows the columns in the file. Worksheet column Description Torque The torque that is needed to remove the cap Machine The machine that tightened the cap: 1 or 2 Part 1) [15 points] As part of the initial investigation, the engineer analyzes the descriptive statistics and graphs to assess the distribution of the data. a) Open the sample data, Cap.MTW. b) Choose Stat > Basic Statistics > Graphical Summary. c) In Variables, enter Torque. d) Click OK e) Report the results and interpret them. (hint: compare the data mean with the target mean) Page 1 of 2 29:799:460 Introduction to Six Sigma and Lean Manufacturing - Spring 2021 f) Does the Confidence Interval for Mean include the target mean of the process? g) Do you confirm that the data has is normally distributed? Justify your answer based on p-value reported on the chart