The data in Table $6$E$.17$ 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 normally distributed. Estimate the process standard deviation.

$($c$)$ What are the apparent three$-$sigma natural tolerance limits of the process?

TABLE $6$E$.17$

Voltage Data for Exercise $6\mathrm{.}40$

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