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.

$\backslash$table$[[$Process capability index,$0\mathrm{.}5333]]$

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

Answer is complete and correct.

New process capability index

$0\mathrm{.}3333$

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 $2$ decimal places. Round your answer to $\frac{?}{{?}_{\frac{?}{?}}}$ decimal nlaces

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$4$ of $20$

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