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17. Over a period of 12 consecutive production hours, samples of size 50 resulted in the following proportions of defective items: Proportion Defective Proportion Defective Sample Number Sample Number 1 .04 7 .10 .02 .06 .08 8 .10 3 9 10 .06 4 .08 5 6 .08 .04 .04 .04 11 12 a. What are the three-sigma control limits for this process? b. Do any of the sample points fall outside of the control limits? c. The company claims a defect rate of 3 percent for these items. Are the observed proportions consistent with a target value of 3 percent defectives? What diffi- culty would arise if the control limits were based on a target value of 0.03? In view of the company's claims, what difficulty would arise if the control limits computed in part (a) were used?

17. Over a period of 12 consecutive production hours, samples of size 50 resulted in the following proportions of defective items: Proportion Defective Proportion Defective Sample Number Sample Number 1 .04 7 .10 .02 .06 .08 8 .10 3 9 10 .06 4 .08 5 6 .08 .04 .04 .04 11 12 a. What are the three-sigma control limits for this process? b. Do any of the sample points fall outside of the control limits? c. The company claims a defect rate of 3 percent for these items. Are the observed proportions consistent with a target value of 3 percent defectives? What diffi- culty would arise if the control limits were based on a target value of 0.03? In view of the company's claims, what difficulty would arise if the control limits computed in part (a) were used?

Practical Management Science
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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17. Over a period of 12 consecutive production hours, samples of size 50 resulted in the following proportions of defective items: Proportion Defective Proportion Defective Sample Number Sample Number 1 .04 7 .10 .02 .06 .08 8 .10 3 9 10 .06 4 .08 5 6 .08 .04 .04 .04 11 12 a. What are the three-sigma control limits for this process? b. Do any of the sample points fall outside of the control limits? c. The company claims a defect rate of 3 percent for these items. Are the observed proportions consistent with a target value of 3 percent defectives? What diffi- culty would arise if the control limits were based on a target value of 0.03? In view of the company's claims, what difficulty would arise if the control limits computed in part (a) were used?
Transcribed Image Text:17. Over a period of 12 consecutive production hours, samples of size 50 resulted in the following proportions of defective items: Proportion Defective Proportion Defective Sample Number Sample Number 1 .04 7 .10 .02 .06 .08 8 .10 3 9 10 .06 4 .08 5 6 .08 .04 .04 .04 11 12 a. What are the three-sigma control limits for this process? b. Do any of the sample points fall outside of the control limits? c. The company claims a defect rate of 3 percent for these items. Are the observed proportions consistent with a target value of 3 percent defectives? What diffi- culty would arise if the control limits were based on a target value of 0.03? In view of the company's claims, what difficulty would arise if the control limits computed in part (a) were used?
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