$6\mathrm{.}32.$ The data in Table $6$E$.16$ were collected from a

process manufacturing power supplies. The variable

of interest is output voltage, and $n=5.$

$($a$)$ Compute center lines and control limits suitable

for controlling future production.

$($b$)$ Assume that the quality characteristic is nor$-$

mally distributed. Estimate the process standard

deviation.

$($c$)$ What are the apparent three$-$sigma natural toler$-$

ance limits of the process?

TABLE $6$E$.16$

Voltage Data for Exercise $6\mathrm{.}32.$