Please answer everything in detailed and make sure to draw the charts in excel or graph paper

and show clearly. 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 with tensile strength specification of $185+-15\frac{N}{m}m2.$ Some existing

customers have been making 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$)$