Problem $10-21($Algo$)$

Design specifications require that a key dimension on a product measure $101+-8$ units. A process being considered for producing this product has a standard deviation of five units.

a$.$ What can you say $($quantitatively$)$ regarding the process capability? Assume that the process is centered with respect to specifications.

Note: Round your answer to $4$ decimal places.

Answer is complete and correct.

Process capability index

$0\mathrm{.}5333$

b$.$ Suppose the process average shifts to $98.$ Calculate the new process capability. Note: Round your enswer to $4$ decimal ploces.

Answer is complete and correct.

New process capability indek

$0\mathrm{.}3333$

c$.$ What is the probability of defective output after the process shift?

Note: Use Excel's NORM.S$.$DIST function to find the correct probability. Round $"$z$"$ values to $2$ declmal places. Round your enswer to $4$ decimel pleces.

Answer is complete but not entinely correct.

Probability of defective output

$0\mathrm{.}988806$