QUESTION $16$

CHAPTER $3$

$($Part$2)$

The manager of Champion Cooling Company has recently implemented a statistical process control method. The accompanying table shows the recorded temperatures of five different samples of walk$-$in coolers that were produced in the previous month.

Sampl Sampl Sampl Sampl Sampl

e $1$ e $2$ e $3$ e $4$ e $5$

Unit $1,104\mathrm{.}0,100\mathrm{.}1,101\mathrm{.}1,102\mathrm{.}0,102\mathrm{.}7$

Unit $2106\mathrm{.}4,104\mathrm{.}4,100\mathrm{.}4,105\mathrm{.}9,105\mathrm{.}4$

Unit $3101\mathrm{.}8,103\mathrm{.}6,103\mathrm{.}0,104\mathrm{.}6,106\mathrm{.}1$

Unit $4105\mathrm{.}6,101\mathrm{.}4,101\mathrm{.}0,102\mathrm{.}1,102\mathrm{.}5$

Unit $5,100\mathrm{.}6,100\mathrm{.}7,104\mathrm{.}9,107\mathrm{.}0,102\mathrm{.}0$

a$.$ What is the value of the center line for the chart that monitors performance to target?

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QUESTION $17$

b$.$ The upper control limit for the $x-$bar chart with three sigma limits is:

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QUESTION $18$

c$.$ The center line of the $R-$chart is:

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