Problem $5.$ Solve the following problem and state any assumptions you make to solve the problem.

$2$ & $3$: The design team completed the design of a space station part with nominal specification of NSPEC $=4\mathrm{.}3.$

They made $4$ prototypes with measurements of $34,5,4.$ They went into production with Cpk $=1\mathrm{.}3$

Show:

$\backslash$sigma $\_\_\_\_\_\_\_\_$Cp $\_\_\_\_\_\_\_\_$ USL$\_\_\_\_\_\_\_\_\_\_$ LSL $\_\_\_\_\_\_\_\_\_\_\_\_\_$ RR$\_\_\_\_\_\_\_\_\_$ppm

Show Production Control Chart with n $=4$;

UCLx$\_\_\_\_\_\_\_\_$; LCLx$\_\_\_\_\_\_\_\_$;