A company is evaluating its manufacturing system to produce steel rods for a new customer. Fif-teen samples, cach containing five steel rods, were taken from the process. The length of each rodin the samples was measured and is shown in the following table:Sample Rod 110.001Rod 2Rod 3Rod 4Rod 5110.0099.99910.0019.99210.00210.0139.99210.00110.0029.9999.99739.99310.0129.9999.98910.01149.98910,0019.998510.00110.0029.9999.99510.0039.9936.9.99510.00310.00210.0017.9.9999.99810.0029.9979.99310.0088.10.00210.0019.99910.001910.02110.0089.9929.9899.9961010.00110.010 10.00210.00310.0061110.00210.0089.9929.99910.001129.9929.9969.99910.0059.9891310.00110.009 10.0019.99210.0021410.0039.99110.0029.99910.003159.99810.0029.99110.00310.001 a. Determine the upper and lower control limits and the overall means for I-charts and R-charts. Draw the chart and plot the values of the sample means and ranges. Do the data.indicate a process that is in control? Why or why not? (Data is also available as an Excel filein D2L)b. The steel rods will go to a customer that is expecting each rod to meet a 10+0.05cm tolerancelevel. A selling point for the company is that it meets 60 quality. Compute the capabilityratios (C, and Cuk) to show if the current manufacturing system is capable and if it meetsthe desired quality standard.

a) The X-bar and R-chart are as follows- Step 1: Calculate the sample average, and range, for each…

A company is evaluating its manufacturing system to produce steel rods for a new customer. Fif- teen samples, cach containing five steel rods, were taken from the process. The length of each rod in the samples was measured and is shown in the following table: Sample Rod 1 Rod 2 Rod 3 Rod 4 Rod 5 10.001 10.013 10.009 9.999 9.992 10.002 10.001 9.992 10.001 9.989 10,001 10.002 9.993 9.999 10.011 9.999 4 10.012 10.001 10.002 9.989 9.998 9.997 10.003 9.999 9.995 10.001 6. 9.995 10.003 10.002 9.993 10,008 7 9.999 9.998 10.002 9.999 9.997 8. 10.002 10.001 9.993 10.001 9. 10,021 10.008 9.992 9.989 9.996 10 10.001 10.010 10.002 10.003 10.006 11 10.002 10.008 9.992 9.999 10,005 10.001 12 9.992 9.996 9.999 9.989 13 10.001 10.009 10.001 9.992 10.002 14 10,003 9.991 10.002 9.999 10,003 15 9.998 10.002 9.991 10.003 10.001

A company is evaluating its manufacturing system to produce steel rods for a new customer. Fif- teen samples, cach containing five steel rods, were taken from the process. The length of each rod in the samples was measured and is shown in the following table: Sample Rod 1 Rod 2 Rod 3 Rod 4 Rod 5 10.001 10.013 10.009 9.999 9.992 10.002 10.001 9.992 10.001 9.989 10,001 10.002 9.993 9.999 10.011 9.999 4 10.012 10.001 10.002 9.989 9.998 9.997 10.003 9.999 9.995 10.001 6. 9.995 10.003 10.002 9.993 10,008 7 9.999 9.998 10.002 9.999 9.997 8. 10.002 10.001 9.993 10.001 9. 10,021 10.008 9.992 9.989 9.996 10 10.001 10.010 10.002 10.003 10.006 11 10.002 10.008 9.992 9.999 10,005 10.001 12 9.992 9.996 9.999 9.989 13 10.001 10.009 10.001 9.992 10.002 14 10,003 9.991 10.002 9.999 10,003 15 9.998 10.002 9.991 10.003 10.001

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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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.)
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