Problem $10-25($Algo$)$

Resistors for electronic circuits are manufactured on a high$-$speed automated machine. The machine is set up to

produce a large run of resistors of $1,000$ ohms each. Use Exhibit $10\mathrm{.}13.$

To set up the machine and to create a control chart to be used throughout the run, $15$ samples were taken with four

resistors in each sample. The complete list of samples and their measured values are as follows: Use three$-$sigma

control limits$.$

a$.$ Calculate the mean and range for the above samples.

Note: Round "Mean" to $2$ decimal places and "Range" to the nearest whole number.

b$.$ Determine $\frac{?}{\text{b}\text{a}\text{r}}(\stackrel{}{x})$ and $\frac{?}{\text{b}\text{a}\text{r}}(R).$

Note: Round your answers to $3$ decimal places.

c$.$ Determine the UCL and LCL for a $\stackrel{}{x}$ chart.

Note: Round your answers to $3$ decimal places.

UCLResistors for electronic circuits are manufactured on a high$-$speed automated machine. The machine is set up to

produce a large run of resistors of $1,000$ ohms each. Use Exhibit $10\mathrm{.}13.$

To set up the machine and to create a control chart to be used throughout the run, $15$ samples were taken with fou

resistors in each sample. The complete list of samples and their measured values are as follows: Use three$-$sigma

control limits$.$

a$.$ Calculate the mean and range for the above samples.

Note: Round "Mean" to $2$ decimal places and "Range" to the nearest whole number.