The production manager of a chocolate bar factory desires to increase the capability of the

manufacturing process with a USL value of $60$ grams and an LSL value of $50$ grams for the chocolate

weight. The problem statement is $"$to increase the Cp and Cpk values."

Twenty samples, each containing $5$ chocolates, are collected, and their weight are measured. The data

are shown in Table below:

Production Data before Process Improvement

Evaluate the current state of the process. Support your evaluation with statistical analysis.

The production manager, along with her team, analyzes the process, and identifies that a couple of

machine tools on the manufacturing line are not properly aligned.

Upon realigning the machine tools and running the process, five more samples, each containing $12$

chocolate bars, are collected, and their weights are measured. The data are shown in Table below:

Production Data after Process Improvement

Evaluate the process status after the improvement. Did the process improve? Support your idea

with statistical analysis.

As the root causes of this problem was identified as misalignment of some tools, what do you

suggest to be done in process to overcome this issue?