Please answer everything in detailed and use graph paper and please do not use excel sheet. Please

show all the calculations in details.

Company A manufactures shafts made from fibre$-$reinforced polymer composites using pultrusion

process. Recently, a new customer requested a new shaft to be developed for a special application

complaints of the pultruded composite shafts having low tensile strength. Some product returns

were also received by the company. Management however seems reluctant to invest money to

make improvement to the process and quality system practised by the company. You recently joined

Company A as the Quality Assurance Engineer. As one of your initiatives, you suggested the use of

process control charts to monitor and control the process of making the shafts.

Table $1$ gives the tensile strengths of shafts developed for the new customer collected by your

Quality Improvement Team in the initial process performance study.

a$)$ Analyse the process using appropriate process control charts. $(25$ points$)$

b$)$ Evaluate the capability of the process and present the result clearly to the management $($Hint: Use

a sketch.$).(5$Points$)$

$($c$)$ Discuss the role of management in quality improvement of the process and suggest what can be

done in the short and long$-$term period to improve the company's quality performance. $(15$ points$)$