Q$2.$ Frozen orange juice concentrate is packed in $6-$oz cardboard cans. These cans are

formed on a machine by spinning them from cardboard stock and attaching a metal

bottom panel. By inspection of a can, we may determine whether, when filled, it could

possibly leak either on the side seam or around the bottom joint. Such a nonconforming

can has an improper seal on either the side seam or the bottom panel. Set up a control

chart to improve the fraction of nonconforming cans produced by this machine.

When the control limits are constructed, few points went outside the control limits and

hence the process manager investigates the process and identified assignable causes and

addressed them. Revise the control limits and again check for process control.

This time the point$($s$)$ falling outside the control limits could not be related with any

assignable causes for variations and hence the process manager decided to finalize the

control limits$.$ If the lower control limit is negative, what should be the minimum sample

size to have it at zero?