$1.$ How can manager find out if the process involved in the premium express scheme is under control?

$2.$ Explain in detail an approach manager could take to identify the major causes for the delay in shipment. How she can determine the route causes?

$3.$ What is meant by process capability? How can manager determine if the new processes met the target defect proportion? What are your thoughts on improving the process?

$4.$ manager realized the customer claim was increasing, so they decided to raise their sample size by twenty units every two weeks. Analyze the process performance based on this decision.

$5.$ To ensure the process's performance, a sample took in week $21,$ and it was below the lower control limit$.$ So what does manager need to do$?$