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

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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S Book Hint Print eferences Problem 13-2 (Algo) A metal fabricator produces connecting rods with an outer diameter that has a 1 ± 0.02 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.004 inches with a standard deviation of 0.006 inch. Calculate the process capability index for this example. (Round your answer to 3 decimal places.) Process capability index
The Healthy Chocolate Company makes a variety of chocolate candles, including a 12-ounce chocolate bar (340 grams) and a box of six 1-ounce chocolate bars (170 grams). a.Specifications for the 12-ounce bar are 322 grams to 358 grams. What is the largest standard deviation (In grams) that the machine that fills the bar molds can have and still be considered capable if the average fill is 340 grams? (Round your intermediate calculations to 2 decimal places and final answer to 3 decimal places.) Standard deviation b.The machine that filles the bar molds for the 6-ounce bars has a standard deviation of .84 grams. The filling machine is set to deliver an average of 1.04 ounces per bar. Specifications for the six-bar box are 150 to 190 grams per box. Is the process capable? Hint: The variance for the box is equal to six times the bar variance. Convert all calculations Into grams. O Yes O No grams c.What is the lowest setting in ounces for the filling machine that will provide capability in…
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? x= 156.76 mm (round your response to two decimal places). b) What is the value of R? Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 R = 4.40 mm (round your response to two decimal places). c) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCL) = mm (round your response to two decimal places). Range R (mm) 4.2 4.4 4.3 4.8 4.3 Ç
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7. PCDrives has a statistically in-control manufacturing process that is normally distributed. Samplemeans and ranges for 15 samples of size 5 can be found in the Problems Data workbook. Determineprocess capability indexes by estimating the standard deviation using formula (8.34). If thespecifications are 70 ± 25, what percentage will be out of specification? PCDrives Sample x-bar R 1 77.4 18.3 2 60.2 20.1 3 63.5 22.6 4 64.0 27.5 5 58.4 15.3 6 74.4 17.9 7 70.8 26.8 8 74.6 30.6 9 77.3 19.2 10 65.7 14.6 11 63.4 24.5 12 76.6 21.7 13 71.7 25.5 14 70.9 29.7 15 59.6 14.5
A scatter diagram is useful to determine if a relationship exists between two variables.TrueORFalse
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)
In a sausage factory, quality managers are studying the compliance of the sausages with the requirements. Any sausage having pin holes, air pockets, deformation or breakage in its casings is counted as defective and total number of such defective sausages alone is noted in each shift. The following data represents the number of defective sausages in samples of 200 sausages taken from 10 shifts. Sample Defectives Percent Defective 1 40 20% 2 28 14% 3 15 8% 4 23 (a) 5 20 10% 6 21 11% 7 19 10% 8 15 8% 9 16 8% 10 17 9% Calculate the value for (a) in the table above. Calculate p-bar based on the samples above. What is the UCL and LCL for a p chart based on the data provided and a desired control level of 99.74%? Use your control limits from part b along with the data provided to draw a p-chart. Is the process in control? Why or why not? If not in control, suggest some potential reasons.
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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.
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