57. A manufacturer of large appliances maintains a p chart for the production of washingmachines. The machines may be rejected because of cosmetic or functional defectives.Based on sampling 30 machines each day for 50 consecutive days, the current estimateof p is .0855.a. What are the control limits for a p chart? (Assume 3ơ limits.)b. Suppose that the percentage of defective washing machines increases to 20 per-cent. What is the probability that this shift is detected on the first day after itoccurs?c. On average, how many days would be required to detect the shift?

Hence, the UCL and LCL are 0.2387 and 0.

Answered: 57. A manufacturer of large appliances…

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…
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Freshly painted tables are inspected for blemishes in samples of size 1. The results for inspecting 12 samples follow: Sample # Blemishes 1 4 2 12 3 7 4 10 5 8 6 12 7 2 8 14 9 4 10 11 11 6 12 15 Total blemishes: 105 Total tables inspected = 12*1 = 12 What is the value of the statistic plotted for sample 3? Same table data. What is the Lower Control Limit for the most appropriate control chart? Same table data. What is the lower boundary value between Zone B and Zone C? That is, what is the boundary between the Zones B and C that lie below the process average?
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