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 processaverage weight per packet is 45 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 packetsand weighs each packet. When the process is in control, the range in the weight of each sample has averaged 5 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 UCLR equals 8.89 grams and the LCLR equals 1.12 grams. (Enter your response rounded to two decimal places.)The UCL equals 46.54 grams and the LCL equals 43.46 grams. (Enter your responses rounded to two decimal places.)b. The results from the last 5 samples of 10 packets are shown below. Is the process in control? Explain.The process variability isinSample12345statistical control and the process average isout ofX4443474745R82926Qstatistical control. Therefore, the entire process iscontrol.

X-bar (Process mean) = 45 gramsR-bar (Average Range) = 5 gramsSample size (n) = 10 packets

Answered: Click the icon to view the table of…

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

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Taguchi Loss Function Panguitch Company manufactures a component for tablet computers. Weight and durability of the component are the two most important quality characteristics for the tablet manufacturers. With respect to the weight dimension, the component has a target value of 100 grams. Specification limits are 100 grams, plus or minus five grams. Products produced at the lower specification limit of 95 grams lose $20. A sample of five units produced the following weight measures: Unit No. Measured Weight 1 100 2 105 3 110 4 90 5 85 During the first quarter, 100,000 units were produced. Required: 1. Calculate the loss for each unit. If required, round your answers to the nearest cent.$_______ Per Unit Calculate the average loss for the sample of five.$______ 2. Using the average loss, calculate the hidden quality costs for the first quarter.$_________
Based on the sampling done, the control limits for 3-sigma x chart are: Upper Control Limit (UCLx) = enter your response here inches (round your response to four decimal places).
C-Spec, Incorporated is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± 0.003 inch. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches with a standard deviation of 0.002 inch. Calculate the capability index ( Cpk�� ) for this machine. Note: Round your answer to 3 decimal places. Should C-Spec use this machine to produce this part? multiple choice Yes No
Twenty samples (K=20) of 200 observations (n = 200) were taken by an operator at a workstation in a production process. The number of defective items in each sample was recorded as follows. Sample Number of Defects 1. 12 18 10 4. 15 16 6. 19 7. 17 8 12 11 10 14 11 16 12 15 13 13 14 16 15 18 16 17 17 18 18 20 19 21 20 22 Management wants to develop ap-chart using 3-sigma limits. What is the Lower Control Limit (LCL)? (calculation 2 sig fig)
The difference between the upper specification and the lower specification for a process is 0.611. The standard deviation is 0.1 II. What is the process capability ratio, CP? Interpret thisnumber.
2) The specification for a Lindemann’s stainless steel chimney liner requires a thickness of 7.1 mm ± 0.1 mm. The firm’s quality analyst determines that the liner process operates at a mean thickness of 7.13 mm with the standard deviation of the process being 0.02 mm. a) Calculate the upper and the lower limits for the stainless steel chimney liner. b) Calculate the Cpand Cpkfor this process. Hint: Cp = (Upper Specification Limit – Lower Specification Limit)/6sigma Cpk = minimum of [(Upper Specification Limit – Xbar)/3sigma], [(Xbar – Lower Specification Limit)/3sigma]
Twelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanual Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: Sample Sample Mean (in.) Range (in.) Sample Sample Mean (in.) Range (in.) 1 9.602 0.033 7 9.603 0.041 2 9.602 0.041 8 9.605 0.034 3 9.593 0.034 9 9.597 0.027 4 9.606 0.051 10 9.601 0.029 5 9.599 0.031 11 9.603 0.039 6 9.599 0.036 12 9.606 0.047 Part 2 For the given data, the x double overbarx = 9.6013 inches (round your response to four decimal places). Part 3 Based on the sampling done, the control limits for 3-sigma x overbarx chart are: Upper Control Limit (UCL Subscript x…
For 100 consecutive days, a company making nutritional supplements has measured theamount of a protein the company puts into its protein bars. Each day, the company takesa sample of 6 protein bars. The average across all 600 bars was 31.232 grams. The standard deviation was 0.83291 gram. When constructing an X-bar chart, what would theupper control limit be?a. 30.2119b. 31.232c. 32.2521d. None of the above
The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Part 6 Upper Control Limit (UCLR) = enter your response here inches (round your response to three decimal places).
Refer to Table 56.1-Factors for Computing Control Chart Limits.(3.sigma) 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: a) What is the value of x? mm (round your response to two decimal places). b) What is the value of R? R=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;)mm (round your response to two decimal places) Lower Control Limit (LCL;)mm (round your response to two decimal places). d) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCLR)-mm (round your response to two decimal places). Lower Control Limit (LCL)-mm (round your response to two decimal places) Mean x (mm) 154.9 151.2 155.6 155.5 154.6 Range R (mm) 4.4 4.8 4.3 5.0 4.7 Next
In a research on weight of cereal dispersed into a box of cereal, a company collected m=12 sets of inside ring diameter samples with a subgroup size of n=6 , the grand mean =17.8 ounces and the average range =1.02 ounces. Determine the upper control limit for an R chart. Enter your answer to 2 decimal places.

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