A metal fabricator produces connecting rods with an outer diameter that has a 1± 0.02 inch specification. A machine operator takesseveral sample measurements over time and determines the sample mean outer diameter to be 1.005 inches with a standard deviationof 0.003 inch.Calculate the process capability index for this example.Note: Round your answer to 3 decimal places.Process capability index

Given:standar deviation (σ)=0.003sample mean (x̄)=1.005Upper Specification Limit (USL)=…

Answered: A metal fabricator produces connecting…

Understanding Business

12th Edition

ISBN:9781259929434

Author:William Nickels

Publisher:William Nickels

Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment

Section: Chapter Questions

Problem 1CE

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(1) Rewrite each of the following measurements using the rounding rules listed in the Lab Standards Manual in the box below each measurement. Use Insert → Equation to format the equation and the t sign properly. a) d = 9.549 +0.0017 mb) d = 9.549 ± 0.01 m c) d = 9.549 ± 0.012 m Rounded:
A quality analyst has examined 20 hotels around the state and found that 120 customers in total have complaints about the various hotel services. Find the UCL and LCL by using 3-sigma (z = 3). Hint: number of complaints is a counting type attributes data and the sample size (the total number of total customers served) is not known. UCL=-1.35, LCL=13.35 UCL=13.35, LCL= 0 UCL = 13.35, LCL = -1.35 Cannot be calculated O UCL = 0, LCL = 13.35
A component part for a motorcycle is manufactured by an investment casting process. The air vent opening on this casting is an important functional parameter of the part. The results for five samples are given in the table. The values given have been coded using the last two digits of the dimension Sample Air vent opening diameter (in mm 1 58 61 54 60 2 61 55 58 62 3 66 60 59 55 4 53 57 58 64 5 65 63 79 61 Determine the central line and control limits for the range and mean charts, and discuss whether or not the process is in statistical control.
4. Organic Grains LLC uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves have the proper weight. Based on a previously stable and in-control process, the control limits of the x- and R-charts are: UCLx = 5.35, LCLx = 4.93; UCLR = 0.894, LCLR = 0. Over the past few days, they have taken five random samples of four loaves each and have found the following: Net Weight Sample Loaf # 1 Loaf # 2 Loaf # 3 Loaf # 4 1 4.9 5.2 5.1 5.0 2 5.3 5.1 5.2 5.3 3 4.9 5.2 4.9 5.2 4 5.5 5.5 5.3 5.5 5 5.3 5.2 5.3 5.0 Part 2 Based on the x-chart, is one or more samples beyond the control limits? ▼ No Yes .
You want to determine the control lines for a "p" chart for quality control purposes. If the total number of defects from all samples is 2,500, the number of samples is 100, and the sample size is 40, which of the following would be the standard deviation used in developing the control lines? Answers: 0.0484 0.2499 0.00687 0.00707 0.00765
Om1. Please answer fast
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 =___
The school board is trying to evaluate a new math program introduced to second-graders in five elementary schools across the county this year. A sample of the student scores on standardized math tests in each elementary school yielded the following data: School No. of Test Errors A 75 B 38 C 42 D 47 E 61 For the test errors, the c-chart with control limits that contain 99.73% of the random variation in test scores is: Part 2 UCLc = enter your response here errors (round your response to two decimal places). b) Has the process been in control? c) If the sample size were 20 instead, how would your limits and conclusions change? UCLp= ________(enter your response as a number between 0 and 1, rounded to three decimal places). LCLp= ________(enter your response as a number between 0 and 1, rounded to three decimal places).
Can someone please explain how to find upper and lower limits using Excel? I am trying to answer this question: The overall average on a process you are attempting to monitor is 50.0 units. The process population standard deviation is 1.84 Sample size is given to be 4.a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCL) = ____units (round your response to two decimal places).
A metal fabricator produces connecting rods with an outer diameter that has a 1 ± 0.04 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.003 inches with a standard deviation of 0.020 inch. Calculate the process capability index.
A quality control technique for tracing back from observed problems to likely causes is: A control chart A Pareto chart Benchmarking An Ishikawa diagram
Cartons of Plaster are supposed to weigh exactly 32 ounces. Inspectors want to develop process control charts. They take five samples of six (6) boxes each and weigh them. Sample means (X-bar) are: 33.8, 34.6, 34.7, 34.1, and 34.2 respectively. Also, the corresponding ranges are: 1.1, 0.3, 0.4, 0.7, and 0.3, respectively. The lower and upper control limits of the xbar-chart are respectively O a. 33.12 and 34.12 b. 34.01 and 34.55 O c. 30.11 and 40.15 O d. None is correct O e. 37.01 and 39.23

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