Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures thetide diameter of the bottle neck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (in.) from the last sixQuestion Viewerཔས་་་པ་ཅཔ ་པBottleSample123410.6060.5910.6100.58320.6140.6060.6230.58630.6170.5890.6110.605450.6240.6230.5870.6050.6070.5730.5930.61560.6120.5990.5940.607Click the icon to view the table of factors for calculating three-sigma limits for the xachda R-chart.Suppose that the specification for the bottle neck diameter is 0.600 ± 0.050 in. and the population standard deviation is 0.015 in.a. What is the process capability index?The Cpk is(Enter your response rounded to two decimal places.)

Answered: Aspen Plastics produces plastic bottles…

Practical Management Science

6th Edition

ISBN:9781337406659

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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Consider a process with lower process control limit as 1.338 and upper process control limit as 1.342 . The lower specification limit is 1.335 and the upper specification limit is 1.345. Utilizing the information provided, is the process is capable of meeting design specifications?
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
Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottle neck, a critical quality dimension that determines whe the bottle cap will fit properly. The dimensions (in.) from the last six samples are Bottle Sample 1 2 4 1 0.602 0.601 0.604 0.594 2 0.588 0.581 0.612 0.573 0.588 0.571 0.578 0.574 4 0.582 0.612 0.603 0.582 5 0.596 0.602 0.597 0.609 6 0.583 0.602 0.615 0.579 Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Suppose that the specification for the bottle neck diameter is 0.600 ± 0.050 in. and the population standard deviation i 0.012 in. a. What is the process capability index? The Cok is 1.19. (Enter your response rounded to two decimal places.) b. The process capability ratio? The Cp is (Enter your response rounded to two decimal places.)
BlueMoon Bottlers has a bottle-filling process with a mean value of 64 ounces and a standard deviation of 8 ounces. Suppose the upper and lower specification limits are 71 and 57 ounces, respectively. What is the process capability index of this process? (Note: You MUST show every single step and detailed derivation for full credit)
A manufacturer is selling pharmaceuticals that have a weight specification 199.8 to 200.2 mg, with a target value of 200 mg. Before sending its next shipment, the company collects a large sample of product and determines the mean weight of the sample is 199.89 mg, with a standard deviation of 0.035 mg. The process capability index for the current process is ____. Round to three decimal places.
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
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
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Lower Range, Sample Size, n Mean Factor, Upper Range, DA A2 D3 2 1.880 3.268 3 1.023 2.574 4 0.729 2.282 5 0.577 2.115 6 0.483 2.004 7 0.419 1.924 0.076 8 0.373 1.864 0.136 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284
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.
Every 12 hours, 90 parts are randomly sampled and the # of defective parts (out of 90) is recorded. Results from 16 samples follow: Sample Defects 1 3 2 11 3 5 4 2 5 8 6 0 7 9 8 7 9 9 10 3 11 6 12 9 13 10 14 4 15 8 16 5 Total # of defects: 99 total # of observations=90*16 = 1440 What is the value of the statistic plotted for sample 2? [go out 4 decimal places]
In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 172.11, 219.51 . 208.24, 112.44 and 123.30 respectively. In the same sample, the corresponding ranges are: 13.1713.3815.34, 13.04, and 13.02 respectively What are the lower and upper control limits for the R chart?

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