The operations manager of a Soft drink company is concerned about Machine No.3 in the assembly line. In order to make sure that the machine is operating correctly, samples are taken, and the average and range for each sample is computed. Each sample consists of 10 items produced from that machine. Recently, 12 samples were taken and the sample range and average computed for each are as follows: Sample Number Sample Range Sample Mean 1 1.00 45 2 1.21 44 3 0.81 45 4 1.00 46 5 1.11 47 6 0.72 46 7 0.76 49 8 1.01 48 9 1.02 50 10 0.89 51 11 0.76 49 12 1.10 51 During installation, the supplier set an average of 46 for the process with an average range 0.9. (a) Draw the appropriate control charts for machine No. 3. (b) Comment on your results.

The operations manager of a Soft drink company is concerned about Machine No.3 in the assembly line. In order to make sure that the machine is operating correctly, samples are taken, and the average and range for each sample is computed. Each sample consists of 10 items produced from that machine. Recently, 12 samples were taken and the sample range and average computed for each are as follows: Sample Number Sample Range Sample Mean 1 1.00 45 2 1.21 44 3 0.81 45 4 1.00 46 5 1.11 47 6 0.72 46 7 0.76 49 8 1.01 48 9 1.02 50 10 0.89 51 11 0.76 49 12 1.10 51 During installation, the supplier set an average of 46 for the process with an average range 0.9. (a) Draw the appropriate control charts for machine No. 3. (b) Comment on your results.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter14: Data Mining

Section14.2: Classification Methods

Problem 11P

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Sample Number	Sample Range	Sample Mean
1	1.00	45
2	1.21	44
3	0.81	45
4	1.00	46
5	1.11	47
6	0.72	46
7	0.76	49
8	1.01	48
9	1.02	50
10	0.89	51
11	0.76	49
12	1.10	51