Explain statistical quality control and calculate control limits for the given bolt manufacturing data.

Here's a breakdown of the solution:

a) What is statistical quality control?
Statistical Quality Control (SQC) is the application of statistical methods to monitor and control a process to ensure it operates efficiently and produces products that meet specifications. It uses tools like control charts to identify and address variations in a process, distinguishing between random (common cause) and non-random (assignable cause) variations.

b) The weights of bolts manufactured by the department of engineering in automobile industry for six samples, each sample containing five bolts, are shown in the table below;

You are required to obtain the;

a) (i) Center line (ii) Upper action control limit (iii) Upper warning control limit (iv) Lower warning control limit (