Design specifications require that a key dimension on a product measure $100+-11$ units.

A process being considered for producing this product has a standard deviation of four

units.

a$.$ What can you say $($quantitatively$)$ regarding the process capability? Assume that the

process is centered with respect to specifications. $($Round your answer to $4$ decimal

places.$)$

Process capability

b$.$ Suppose the process average shifts to $92.$ Calculate the new process capability.

$($Round your answer to $4$ decimal places.$)$

c$.$ What is the probability of defective output after the process shift? $($Use Excel's

NORMSDIST$0$ function to find the correct probability for your computed Z$-$

value.Round $"z"$ value to $2$ decimal places and final answer to $4$ decimal places.$)$

Probability of defective

output