3. Locate the centroid and the moments of inertia for the cross sectional are 6 in. 1 in.- 6 in. 1 in. -3 in. 1 in. -3 in. 1 in.
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![3. Locate the centroid and the moments of inertia for the cross sectional are
6 in.
1 in.-
6 in.
1 in.
-3 in.
1 in.
-3 in.
1 in.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e79b0af-8f16-4fa5-ab09-c6c7f30e2e0a%2F4894700f-e6e4-4ba3-93f7-80585514f9fb%2Fxkqrmgf_processed.jpeg&w=3840&q=75)
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- Problem 1: 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: Day Mean (mm) Range (mm) 1 156.9 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5.0 5 156.6 4.5 a) What are the UCL x (line on top of x, counldn't find the button to do it) and LCL x (line on top of x) , using 3σ? Plot the data. b) What are the UCL R and LCL R , using 3σ? Plot the data. c) Is the Process in Control? (Please screen shot the EXCEl if its in excel) Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.4. Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... 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: Day Mean x (mm) Range R (mm) 1 156.9 4.4 2 155.2 4.4 3 155.6 4.3 4 153.5 4.8 5 156.6 4.7 Part 2 a) What is the value of x? x= _______ mm (round your response to two decimal places). b) What is the value of Upper R overbarR ? Upper R overbarRequals= _______ mm (round your response to two decimal places). c) What are the UCL Subscript x overbarUCLx and LCL Subscript x overbarLCLx using 3-sigma ? Upper Control Limit (UCL Subscript x overbarUCLx ) = _________ mm (round your response to two…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 5 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean (mm) Range R (mm) 158 4.3 151.2 4.4 155.7 4.2 153.5 4.8 156.6 4.5 What is the UCL using 3-sigma?(round your response to two decimal places). 1. 2. 4.
- Bill Kime's bowling ball factory makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.39 pounds. Each day for 24 days, the average weight, in pounds, of 9 of the bowling balls produced that day has been assessed as follows Day 1 2 3 4 5 6 Average (lb) 9.9 9.9 10.1 10.1 99 99 Day 7 8 9 10 11 12 Average (lb) Day Average (b) 13 14 15 16 17 18 10.1 10.0 10.0 10.1 10.1 10.0 9.9 10.1 10.1 10.0 10.1 10.1 Day 19 20 21 22 23 24 Average (lb) 99 10.0 10.1 9.9 10.0 10.0 a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean What are the values of the control limits? Upper Control Limit (UCL)=b (Round your response to two decimal places)5 Sample data: Mean (Microns) (N=4) Minimum Maximum3.821 3.764 3.9993.946 3.804 4.2514.049 4.039 4.4543.793 3.779 3.9233.635 3.534 4.0684.046 3.578 4.5043.569 2.974 3.9084.084 3.779 5.6673.414 2.806 4.2565.319 5.168 6.3464.096 4.092 4.2234.108 3.957 4.3084.037 3.982 4.3933.789 3.691 3.8534.066 4.023 4.269 Sample Size N A2 D3 D4 2 1.88 0 3.27 3 1.02 0 2.57 4 0.73 0 2.28 5 0.58 0 2.11 6 0.48 0 2.00 7 0.42 0.08 1.92 8 0.37 0.14 1.86 9 0.34 0.18 1.82 10 0.31 0.22 1.78 11 0.29 0.26 1.74 12 0.27 0.28 1.72. Prepare a scatter diagram for each of these data sets and then express in words the apparent relationship between the two variables. Put the first variable on the horizontal axis and the secondvariable on the vertical axis.b. Temperature (°F) 65 63 72 66 82 58 75 86 77 65 79Error rate 1 2 0 0 3 3 1 5 2 1 3
- Construct a 3-sigma X-bar chart for the length in centimeters of a part from the following tabble . What is the upper controt limit? sample observation 1 observation 2 observation 3 observation 4 1 0.486 0.499 0.493 0.511 2 0.499 0.506 0.516 0.494 3 0.496 0.5 0.515 0.488 4 0.495 0.506 0.483 0.487 5 0.472 0.502 0.526 0.469 6 0.473 0.495 0.507 0.493 7 0.495 0.512 0.49 0.471 8 0.525 0.501…S Book Hint Print eferences Problem 13-2 (Algo) A metal fabricator produces connecting rods with an outer diameter that has a 1 ± 0.02 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.004 inches with a standard deviation of 0.006 inch. Calculate the process capability index for this example. (Round your answer to 3 decimal places.) Process capability index5-3 Sample data:Mean (Microns) (N=4) Minimum Maximum3.821 3.764 3.9993.946 3.804 4.2514.049 4.039 4.4543.793 3.779 3.9233.635 3.534 4.0684.046 3.578 4.5043.569 2.974 3.9084.084 3.779 5.6673.414 2.806 4.2565.319 5.168 6.3464.096 4.092 4.2234.108 3.957 4.3084.037 3.982 4.3933.789 3.691 3.8534.066 4.023 4.269 Constants: Sample Size N A2 D3 D4 2 1.88 0 3.27 3 1.02 0 2.57 4 0.73 0 2.28 5 0.58 0 2.11 6 0.48 0 2.00 7 0.42 0.08 1.92 8 0.37 0.14 1.86 9 0.34 0.18 1.82 10 0.31 0.22 1.78 11 0.29 0.26 1.74 12 0.27 0.28 1.72
- 1. From a perspective of Statistical Process Control (SPC), a six-sigma process will have which of the following attributes? a) The USL and LSL will be separated by a distance of six sigma b) The process center will be aligned with the LSL c) The number of defects produced by the process will be 0.0018 parts per million d) All of the aboveThe temperature of a burrito served to a customer in a local Mexican restaurant A: Discrete B; ContinousUsing the following data, calculate X and S charts Sample X1 X2 1 2 3 4 5 6 0.078 0.082 0.085 0.08 0.102 0.079 0.08 0.093 0.054 X3 0.069 0.07 0.079 0.055 0.065 0.077 0.076 0.077 0.079
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