---**COMPUTATIONAL PROBLEM (Values for a Control Chart)**A company that makes balloons controls its production process by periodically taking a sample of 100 balloons from the production line. Each balloon is inspected for defective features. During the last 6 samples taken, the proportion of defective items per sample was recorded, as shown in the image below. Which answer below is correct for the center line, the upper control limit, and the lower control limit, respectively (meaning, in that order)? You will need to carry 4 decimal places in your computations.| Sample # | Percent Defective ||----------|-------------------|| 1 | .02 || 2 | .01 || 3 | .04 || 4 | .03 || 5 | .01 || 6 | .02 |---In this problem, a table is provided that lists six samples along with the corresponding percentage of defective balloons for each sample. To solve this problem:1. **Center Line Calculation**: - Calculate the average proportion of defective items for all the samples.2. **Control Limit Calculations**: - Use the average proportion defective, standard deviation, and appropriate control chart factors to determine the upper control limit (UCL) and lower control limit (LCL).This material is designed to help students learn how to compute control limits for quality control charts in a manufacturing setting.

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Answered: A company that makes balloons controls…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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28. A local contractor manufactures the speakers used in telephones. The phone com- pany requires the speakers to ring at a specified noise level (in decibels). An X chart is being designed to monitor this variable. The process of sampling speakers from the line requires hitting the speakers with a fixed-force clapper and measur- ing the decibel level on a meter designed for that purpose. The cost of sampling is $1.25 per speaker. When the process goes out of control, the thickness of the speakers is incorrect. The cost of searching for an assignable cause is estimated to be $50. The cost of operating the process in an out-of-control state is estimated to be $180 per hour. Out of control corresponds to a shift of 2ơ in the decibel level, and the probability that the process shifts out of control in any hour is .03. a. The company uses an X chart based on 3ơ limits and subgroups of size 4. What is its hourly cost? b. What are the optimal values of n and k for this process and the…
A process sampled 20 times with a sample of size 8 resulted in = 28.5 and R = 1.8. Compute the upper and lower control limits for the chart for this process. (Round your answers to two decimal places.) UCL = LCL = Compute the upper and lower control limits for the R chart for this process. (Round your answers to two decimal places.) UCL = LCL =
The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the box-filling line to be set so that the process average weight per packet is 47 grams. To make sure that the process is in control, an inspector at the end of the filling line periodically selects a random box of 10 packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged 7 grams. Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. a. Design an R- and an x-chart for this process. The UCLA equals 11.54 grams and the LCL equals 46 grams. (Enter your response rounded to two decimal places)
The relative size of errors is shown by: Residuals MSE O Bias MAD MAPE
A process generating attribute data has an estimated sigma capability = 3.3. Assuming the process mean is shifted +/- 1.5 sigma from the target value, what is the estimated dpmo? Estimated dpmo = ____.
The 3-sigma limits for a process whose distribution conforms to the normal distribution includes _______ of the observed values, in the long run. Part 2 A. 99.74% B. 95.44% C. 68.26% D. 50%
50 motor generators are inspected per day from a stable process. The best estimate of the fraction of nonconforming is 0.076. Determine the centeral line and control limits. On a particular day, 5 nonconforming generators were discovered. Is this process in or out of control? For the information given in the problem, construct a np-chart
Design specifications require that a key dimension on a product measure 106 ± 12 units. A process being considered for producing this product has a standard deviation of five units. What can you say (quantitatively) regarding the process capability? Assume that the process is centered with respect to specifications. answer 0.8000 Suppose the process average shifts to 98. Calculate the new process capability. Note: Round your answer to 4 decimal places. ? What is the probability of defective output after the process shift? ?
If a point on a control chart falls outside one of the control limits, this suggests that the process output is non-random and should be investigated. O a. TRUE O b. FALSE 10 19 NEXT PAGE 28 IOUS PAGE Finish at 82°F Mostly er
A fast food franchise tracked the number of errors that occurred in customers orders. These included; * wrong menu items *wrong size drink *lack of condiments *wrong price total *and so on... Some orders may have more than one error. In one week, 1500 orders were filled, and a total of 72 errors were discovered. Find the control limits for a C – Chart to monitor the number of errors per order. Is order accuracy, good or bad ? Explain.
7. 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 48 B 21 C 32 D 40 E 52 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= _______ (round your response to two decimal places). LCLc= _______ (round your response to two decimal places). What does the chart tell you? Has the new math program been effective?

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