s 6.7 is not answered, please answer S6.7 56.6 Sampling 4 pieces of precision-cut wire (to be used incomputer assembly) every hour for the past 24 hours has produced thefollowing results:..Hour1234567891011122345X3.25"3.10Day13.223.393.072.863.052.653.022.852.832.97R.71"1.181.431.261.1732.531.13.711.331.1740Hour131415161718192021153.6155.5156.6222324X3.11"2.833.122.842.862.743.412.892.653.28a. What is the value of x ?b. What is the value of R?c. What are the UCL, and LCL, using 30?2.942.64Develop appropriate control charts and determine whether there isany cause for concern in the cutting process. Plot the information andlook for patterns. PR.85"1.311.06501.431.291.61..V S6.7 Auto pistons at Yongpin Zhou's plant in Shanghai are pro-duced in a forging process, and the diameter is a critical factor that mustbe controlled. From sample sizes of 10 pistons produced each day, themean and the range of this diameter have been as follows:Mean (mm)156.9153.21.091.08461.58.97Range (mm)4.24.64.15.04.5

Let me state the given data, DayMeanRange1156.94.22153.24.63153.64.14155.555156.64.5Here, I will…

Answered: a. What is the value of x ? b. What is…

Practical Management Science

6th Edition

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Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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ble size, the control limits for 3-sigma x chart are: mit (UCL) = lb. (round your response to three decimal places). mit (LCL) = for the 3-sigma R imit (UCLR)= Limit (LCLR)= Definition Sample Size, n 2345678982 10 12 Mean Factor, A2 1.88 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 Print Upper Range, 4 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 Done Lower Range, D3 0 0 0 0 0 0.076 0.136 0.184 0.223 0.284 - X
Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Hour Hour Hour R Hour R. 3.25" 0.65 3.05" 0.58" 13 3.01" 0.80" 19 3.41" 1.61" 2 3.10 1.23 8. 2.55 1.13 14 2.83 1.31 20 2.99 1.14 3 3.22 1.48 3.22 21 2.65 1.13 9, 2.85 3.12 0.71 15 1.11 4. 3.39 1.21 10 1.28 16 2.74 0.50 22 3.18 0.41 1.63 1.02 2.97 1.12 17 23 3.04 11 12 2.93 1.17 2.76 1.48 6. 2.86 0.37 3.07 0.45 18 2.84 1.24 24 2.74 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Upper Control Limit (UCL-)= inches (round your response to three decimal places). %3D Lower Control Limit (LCL-)= inches (round your response to three decimal places). %3D Based on the x-chart, the wire cutting process has been The control limits for…
Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem. Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Hour x R Hour x R Hour x R Hour x R 1 3.15" 0.65" 7 3.15" 0.58" 13 3.11" 0.85" 19 4.51" 1.66" 2 3.00 1.23 8 2.65 1.13 14 2.93 1.31 20 2.89 1.04 3 3.22 1.43 9 3.02 0.66 15 3.22 1.11 21 2.55 1.08 4 3.39 1.21 10 2.85 1.28 16 2.84 0.55 22 3.28 0.41 5 3.07 1.12 11 2.73 1.12 17 2.96 1.43 23 2.84 1.63 6 2.76 0.42 12 3.07 0.45 18 2.84 1.34 24 2.64 0.92 Based on the sampling done,…
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? x= mm (round your response to two decimal places). Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 Range R (mm) 4.2 4.4 4.3 4.8 4.3
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? x= 156.76 mm (round your response to two decimal places). b) What is the value of R? Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 R = 4.40 mm (round your response to two decimal places). c) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCL) = mm (round your response to two decimal places). Range R (mm) 4.2 4.4 4.3 4.8 4.3 Ç
< Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Hour X 1 2 3 4 5 6 R 3.25" 0.65" 3.00 1.23 3.32 1.43 3.39 1.26 3.07 1.17 2.96 0.37 Hour X R Hour R Hour 7 2.95" 0.48" 13 X 3.11" 0.90" 2.73 1.36 19 20 8 2.55 1.18 14 9 0.71 3.12 1.11 21 3.12 2.85 15 16 10 1.38 2.74 0.50 22 11 2.83 1.22 17 2.86 1.38 23 12 3.07 0.45 18 2.64 1.29 24 X 4.51" 2.89 2.65 3.18 3.04 2.54 R 1.56" 1.14 1.13 0.51 1.58 1.02 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Upper Control Limit (UCL) = inches (round your response to three decimal places).
Sampling 7 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 6 hours has produced the following results: HOUR x_bar R 1 3.25 0.71 2 7.5 1.18 3 3.22 1.43 4 3.39 7.26 5 3.07 1.17 6 2.86 3.5 Develop appropriate control limits and determine whether there is any cause for concern in the cutting process.
Lower Range, Sample Size, n Mean Factor, Upper Range, DA A2 D3 2 1.880 3.268 3 1.023 2.574 4 0.729 2.282 5 0.577 2.115 6 0.483 2.004 7 0.419 1.924 0.076 8 0.373 1.864 0.136 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284
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? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R 4.48 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) = 156.94 mm (round your response to two decimal places). Lower Control Limit (LCL-) = 154.18 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCL) = 7.96 mm (round your response to two decimal places). Mean x (mm) 154.9 153.2 155.6 155.5 158.6 Range R (mm) 4.0 4.8 3.9 5.0 4.7 Lower Control Limit (LCL) = 1.00 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want…
Sampling 9 boxes per every hour for the past 8 hours has produced the following results: WEIGHT OF SAMPLE WEIGHT OF SAMPLE HOUR (AVG. OF 9 BOXES) HOUR (AVG. OF 9 BOXES) 1 16.1 5 16.3 2 16.0 6 14.8 3 15.5 7 14.0 4 16.4 8 17.3 (a) What is the value of X double bar (X bar bar )? Show calculation and final answer together. Carry one decimal place. (b) Develop X bar (X¯) Chart. In this Case, σ=1.3&Z=3. Determine USL and LSL. Show calculation and final answer together. Carry one decimal place.
1. The data shown in Table 1 are x and R values for 20 samples of size n= 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 31.6 should be 0.50316). Please show all your work for full credit. (a) Set up x and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. (b) Assume that diameter is normally distributed. Estimate the process standard deviation. Sample R Sample R 1 31.6 4 11 29.8 4 33.0 3 12 34.0 4 35.0 4 13 33.0 10 4 32.2 4 14 34.8 4 5 33.8 38.4 31.6 15 35.6 7 3 16 30.8 7 4 17 33.0 5 8 36.8 10 18 31.6 3 9. 35.0 15 19 28.2 9 10 34.0 6 20 33.8 Table 1: Bearing Diameter Data
The overall average on a process you are attempting to monitor is 60.0 units. The process population standard deviation is 1.72. Sample size is given to be 4. Part 2 a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCLx)=enter your response here units (round your response to two decimal places). Part 3 Lower Control Limit (LCLx)=enter your response here units (round your response to two decimal places). Part 4 b) Now determine the 2-sigma x-chart control limits. Upper Control Limit (UCLx)=enter your response here units (round your response to two decimal places). Part 5 Lower Control Limit (LCLx)=enter your response here units (round your response to two decimal places). Part 6 How do the control limits change? A. The control limits are tighter for the 3-sigma x-chart than for the 2-sigma x-chart. B. The control limits for the 2-sigma x-chart and for the 3-sigma x-chart are the same. C. The control limits…

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a. What is the value of x ? b. What is the value of R? c. What are the UCL, and LCL, using 3ơ?