$2.$ In a process, the process is under control with x$=$B and s$=$A$.$ Process specification values are $80\backslash$pm $8.$ Sample size is n$=5.$

a$)$ stimate the Cp value. $5$ points

B$)$Estimate actual competence. $5$ points

c$)$ Find the $95\%$ confidence interval for Cpk$.5$ points

$**$If the last two digits of your student number are $10$ and greater than $10,$ the B value represents $5$ times your student number. If the last two digits of your student number are less than $10,$ the B value represents $50$ times your student number. The A value represents the last digit of your student number. If this value is less than $3,$ take the A value as $5.$