Question: A control chart is a statistical tool used to distinguish between variation in a process resulting from common causes and variation resulting from special causes.

A control chart is a statistical tool used to

A control chart is a statistical tool used to distinguish between variation in a process resulting from common causes and variation resulting from special causes. The charts consist of three types of lines to establish the nature of change that takes place over a specified period of time which are Centre line (CL), Upper Control Limit (UCL), and Lower Control Limit (LCL). The following table shows 5 samples of statistical data from production floor. Sample 1 11.1 9.2 11.3 Sample 2 10.1 11.2 9.9 Sample 3 9.8 10.2. Sample 4 11.3 10.1 10.1 Sample 5 11.2 9.4 9.9 8.9 (a) Define the type of control and suggest a suitable control chart as defined type. (1) (b) Calculate UCL, CL, and LCL for each sample as defined control chart from question (a). (12) (c) Plot the data from the table as suggested control chart in question (b). (5) (d) Interpret the results as obtained from question (C) and conclude your finding. (2) ( Total: 20 )

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