# Problem 10-4 (Static)Software upgrade times (in minutes) are being evaluated. Samples of five observations each have been taken, and the results are as listed.**Sample Data:**| Sample | 1 | 2 | 3 | 4 | 5 | 6 ||--------|-----|-----|-----|-----|-----|-----|| 1 | 79.2 | 78.5 | 76.3 | 79.8 | 78.5 | 80.3 || 2 | 78.8 | 79.7 | 79.6 | 79.4 | 77.9 | 79.8 || 3 | 88.4 | 81.0 | 82.4 | 79.4 | 80.4 | 88.5 || 4 | 78.4 | 81.4 | 80.4 | 83.1 | 87.4 | 83.1 || 5 | 80.1 | 88.5 | 78.0 | 80.8 | 79.8 | 81.1 |[Click here for the Excel Data File]**Factors for three-sigma control limits for \(\bar{x}\) and \(R\) charts:**| Number of Observations in Subgroup, \(n\) | Factor for \(\bar{x}\) Chart, \(A_2\) | Factors for \(R\) Charts | Lower Control Limit, \(D_3\) | Upper Control Limit, \(D_4\) ||------------------------------------------|--------------------------------------|--------------------------|-----------------------------|-----------------------------|| 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 | ### Control Limit Calculation and Process Control Decision**a. Upper and Lower Control Limits Calculation:**Using factors from the above table, determine the upper and lower control limits for mean and range charts. **(Round your intermediate calculations and final answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)**| | Mean Chart | Range Chart ||------------|------------|-------------|| **UCL** | | || **LCL** | | |**b. Decide if the process is in control:**- The process is in control.- The process is not in control.**Explanation of Tables and Terms:**- **Mean Chart (X-bar Chart):** Used to monitor the central tendency of a process over time.- **Range Chart (R Chart):** Used to monitor the dispersion or variability of a process.- **UCL (Upper Control Limit):** The highest value within which the process should operate.- **LCL (Lower Control Limit):** The lowest value within which the process should operate.Ensure that all calculations adhere to the instructions, and make a selection based on whether the process data falls within the determined control limits.

A control chart is a statistical tool which helps to identify the process controllability using…

Answered: a. Using factors from above table,…

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C: Determine the UCL and LCL for a X−�− chart. Note: Round your answers to 3 decimal places. D: Determine the UCL and LCL for R-chart. Note: Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places. E: What comments can you make about the process? multiple choice Process is in statistical control Process is out of statistical control
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 10.13. 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 READINGS (IN OHMS) 991 991 1025 972 1013 985 1011 1002 987 980 1008 1020 NUMBER 1 2 1016 1024 990 1018 1030 1016 992 1028 1030 986 1006 1016 1015 986 981 995 981 1015 1002 1007 1017 1005 1028 1001 1012 995 1002 1002 1013 995 1023 988 1020 1019 6 7 8 9 10 11 12 991 1014 975 975 1004 1003 1013 1014 1005 1004 1015 13 998 14 15 1020 985 a. Calculate the mean and range for the above samples. (Round "Mean" to 2 decimal places and "Range" to the nearest whole number.) Sample Number Mean Range 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 b. Determine X and R. (Round your…
One of New England Air's top competitive priorities is on-time arrivals. Quality VP Clair Bond decided to personally monitor New England Air's performance. Each week for the past 30 weeks, Bond checked a random sample of 100 flight arrivals for on-time performance. Sample (week) Late Flights Sample (week) Late Flights1 3 16 32 3 17 23 11 18 64 2 19 35 1 20 26 2 21 17 5 22 228 7 23 39 11 24 110 0 25 211 3 26 112 5 27 013 2 28 114 2 29 415 7 30 5 a) The overall fraction of late flights is [ 0.04 ] enter your response here (enter your response as a real number rounded to two decimal places.) Using a 95% confidence level, the upper and lower control limits are: Upper control limit (UCLp)= enter your response here [ ? ] (enter your response as a fraction between 0 and 1, rounded to four decimal places) Lower control limit (LCLp) =…
At Gleditsia Triacanthos Company, a certain manufactured part is deemed acceptable if its lengthis between 12.45 to 12.55 inches. The process is normally distributed with an average of 12.49inches and a standard deviation of 0.014 inches. A) Is the process capable of meeting specifications? B) Does the process meet specifications?
Sam’s Long Life 60-watt light bulbs are designed to have a life of 1,350 hours with tolerance of ± 340 hours. A recent representative sample from the process that makes these light bulbs revealed a mean of 1,290 hours, with a standard deviation of 94 hours. Compute a. Compute the process capability ratio and the process capability index, and comment on the overall capability of the process b. Explain to what extent the process for producing Sam’s Long Life 60-watt light bulbs would have to be improved to achieve 4-sigma quality. c. show detail work
An ad agency tracks the complaints, by week received, about the billboards in its city: Week No. of Complaints 1 2 4 6 9. This exercise contains only parts a, b, and c. a) The type of control chart that is best to monitor this process is b) Using z = 3, the control chart limits for this process are (assume that the historical complaints rate is unknown): UCL, = complaints per week (round your response to two decimal places). %3D LCL, = complaints per week (round your response to two decimal places and if your answer is negative, enter this value as 0). c) According to the control limits, the process has been m6422

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