A producer of windshields decides to monitor the material handling system used in the plant. The producer is concerned about if there are scratches that are appearing on their finished product. The best kind of control chart to use in this case is a: r chart b: x chart c: cpk chart d: P chart

A shirt manufacturer buys clothes by the 100-yard roll from a supplier. For setting a control chart to manage the irregularities (e.g., loose threads and tears), the following data were collected from a sample provided by the supplier.   Sample 1 2 3 4 5 6 7 8 9 10 Irregularities 3 5 2 6 5 4 6 3 4 5   Which type of control chart should be used? Construct a control chart with two-sigma control limits. Suppose the next five rolls from the supplier had three, two, five, three, and seven irregularities. Is the supplier process under control? Explain and show work

A microbrewery tracks its output in gallons over a five hour period for each of seven days. Their data is in the table below, and they went ahead and calculated the averages and ranges for the individual samples and the overall averages Their data and the factors tables can be found below. Calculate the upper (LCL) and lower (UCL) control limits for X bar, and R charts for their process. Day (X values) X̅   R 1 46 49 45 47 48 47.0   4 2 43 52 46 52 44 47.4   9 3 45 55 46 51 43 48.0   12 4 39 44 42 43 40 41.6   5 5 45 50 48 50 42 47.0   8 6 44 48 45 45 40 44.4   8 7 41 44 52 50 47 46.8   11           X̿ = 46.03 R̅ 8.14     Xbar chart - LCL = 40.48, UCL=46.25, R chart LCL=0, UCL=14.01 Xbar chart - LCL = 44.21, UCL=48.41, R chart LCL=0.49, UCL=17.18 Xbar chart - LCL = 42.61, UCL=49.45, R chart LCL=0.65, UCL=15.63 Xbar chart - LCL = 44.21, UCL=51.62, R chart LCL=0, UCL=17.18 Xbar chart - LCL = 41.31, UCL=50.75, R chart LCL=0, UCL=17.18

Refer to Table 56.1-Factors for Computing Control Chart Limits.(3.sigma) for this problem. Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? mm (round your response to two decimal places). b) What is the value of R? R=mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Day 1 2 3 4 5 Upper Control Limit (UCL;)mm (round your response to two decimal places) Lower Control Limit (LCL;)mm (round your response to two decimal places). d) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCLR)-mm (round your response to two decimal places). Lower Control Limit (LCL)-mm (round your response to two decimal places) Mean x (mm) 154.9 151.2 155.6 155.5 154.6 Range R (mm) 4.4 4.8 4.3 5.0 4.7 Next

The smallest defect in a computer chip will render the entire chip worthless. Therefore, tight quality control measures must be established to monitor these chips. In the past, the percent defective at Chieh Lee's Computer Chips has been 1.5%. The sample size is 1,000. Determine upper and lower control chart limits for these computer chips. Use z = 3. Upper Control Limit (UCL) = (round your response to four decimal places). Lower Control Limit (LCLp) = (round your response to four decimal places).

The results of inspection of DNA samples taken over the past 10 days are given below. Sample size is 100. LCLp Day Defectives = 1 5 2 7 3 7 4 9 5 5 6 6 a) The upper and lower 3-sigma control chart limits are: UCL = 0.127 (enter your response as a number between 0 and 1, rounded to three decimal places). (enter your response as a number between 0 and 1, rounded to three decimal places). 7 1 8 6 9 10 10 1

Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. Use Exhibit 13.7. To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows. Use three-sigma control limits. SAMPLE NUMBER 1 H234STO OHN345 5 6 7 8 9 10 11 ΕΕΕΕΕ 12 13 14 15 READINGS (IN OHMS) 1097 1094 978 1013 976 1016 977 986 983 1026 988 1014 991 1030 995 991 1023 1014 982 970 1030 1027 1017 1004 995 982 994 1008 1001 1004 995 1015 1026 978 1017 984 995 1007 988 970 1004 1028 1019 983 990 1026 1017 1010 987 994 1030 974 995 1012 1016 1011 983 1018 981 1020

The results of inspection of DNA samples taken over the past 10 days are given below. Sample size is 100.                               Day 1 2 3 4 5 6 7 8 9 10 Defectives 3 5 5 6 3 3 0 4 6 2 ​a) The upper and lower 3 3​-sigma control chart limits​ are: UCLp ​= ___      LCLp ​=___

A quality control technique for tracing back from observed problems to likely causes is:          A control chart         A Pareto chart         Benchmarking         An Ishikawa diagram