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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Define Statistical Quality Control - Business Mathematics and Statistics

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Question

Define Statistical Quality Control

Sum

Solution

The term Quality means a level or standard of a product which depends Material, Manpower, Machines, and Management (4M’s).

Quality Control ensures the quality specifications all along them from the arrival of raw materials through each of their processing to the final delivery of goods.

Quality Control is a powerful technique used to diagnose the lack of quality in any of the raw materials, processes, machines etc.

It is essential that the end products should possess the qualities that the consumer expects from the manufacturer.

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Statistical Quality Control (SQC)
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Chapter 9: Applied Statistics - Exercise 9.3 [Page 226]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 9 Applied Statistics
Exercise 9.3 | Q 1 | Page 226

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A quality control inspector has taken ten ” samples of size four packets each from a potato chips company. The contents of the sample are given below, Calculate the control limits for mean and range chart.

Sample Number Observations
1 2 3 4
1 12.5 12.3 12.6 12.7
2 12.8 12.4 12.4 12.8
3 12.1 12.6 12.5 12.4
4 12.2 12.6 12.5 12.3
5 12.4 12.5 12.5 12.5
6 12.3 12.4 12.6 12.6
7 12.6 12.7 12.5 12.8
8 12.4 12.3 12.6 12.5
9 12.6 12.5 12.3 12.6
10 12.1 12.7 12.5 12.8

(Given for n = 5, A2 = 0.58, D3 = 0 and D4 = 2.115)


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Sample No 1 2 3 4 5 6
Sample Mean 1080 1390 1460 1380 1230 1370
Sample Range 410 670 180 320 690 450
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Sample Mean 1310 1630 1580 1510 1270 1200
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Range 0.3 0.4 0.2 0.4 0.1 0.1 0.8 0.5 0.3 0.5

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