For the p-chart of Table 1, what is the Upper Control Limit (UCL)? (Note your answer for question 9, 10) Answers to 3dp. Table 1 Sample Number Number of Defects 1 12 2 13 3 14 4 18 5 10 60 10 7 5 8 20 9 15 10 12 a) 2.77 b) 2.12 c) 0.444 d) 1.12 e) 13.09 For the p-chart of Table 1, what is the Lower Control Limit (LCL)? (Note your answer for question 10) Answers to 3dp. Table 1 Sample Number Number of Defects 1 12 2 13 3 14 4 18 5 10 10 6 10 7 5 8 20 9 15 10 12 a) 0.072 b) 2.394 c) 12.710 d) -1.624 e) -0.665 For the p-chart of Table 1, is the process in control? Table 1 Sample Number Number of Defects 1 12 2 13 3 14 4 18 5 10 6 10 7 5 8 20 9 15 10 12 a) Yes, all results fall between limits b) No, all results fall outside limits c) Yes, only one result is outside limits d) No, one result is outside limits e) Yes, three results fall outside limits A company is looking to better understand the output of a process by developing appropriate SPC charts. The company is looking to develop an R-bar chart for the process using 3 sigma control limits (z=3). For the following dataset (Table 1), calculate the Center Line (R-bar) for the process control chart. Table 1 Sample 1 Sample 2 Sample 3 Sample 4 Observation 1 15.802 15.901 15.543 15.527 Observation 2 15.874 15.746 15.634 15.545 Observation 3 15.601 15.564 15.857 15.458 Observation 4 15.545 15.862 15.873 15.892 Observation 5 15.787 15.376 15.354 15.867 The dataset is composed of 4 samples (k=4) with 5 observations in each sample (n=5). Calculation to 5 decimal places (5dp). Note your answer for questions 21 and 22. a) 0.84631 b) 0.37254 c) 0.45175 d) 0 e) 0.68574 An Operations Manager wants to calculate the utilization of a production process. The manufacturing facility operates 6 days a week for 8 hours per day. Table 2 outlines the time the production process was used each day. Calculate the utilization of the production process for the week. Table 2 Day Day 1 Time Used 30 minutes Day 2 4 hours Day 3 1 hour Day 4 6 hours Day 5 2 hours 30 minutes Day 6 1 hour a) 0.452 b) 0.313 c) 1.875 d) 3.2 e) 0.543 QUESTION 44 A product is composed of five parts, each part must work for the product to operate. The reliabilities of the parts are 0.435, 0.556, 0.987, 0.627 and 0.785. What is the reliability of the product? Answers to 3 decimal places (3dp). a) 0.125 b) 0.117 c) 0.354 d) 0.985 e) 0.538 QUESTION 45 For the product in Question 44, component 1 has a reliability of 0.435. A backup component is then installed for component 1. This backup component has a reliability of 0.35. What is the new reliability of component 1? Answers to 3 decimal places (3dp). a) 0.7132 b) 0.524 c) 0.435 d) 0.723 e) 0.633