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

$0$ & $1$: The design team completed the design of a space station part with nominal specification of $N_{\text{S}\text{P}\text{E}\text{C}}=4\mathrm{.}7.$

They made $4$ prototypes with measurements of $5,6,4,4$hey went into production with $C_{pk}=0\mathrm{.}9.$ Show:

$,C_p,$USL,$LSL$

RR

ppm

Show Production Control Chart with $n=4$;$,UC{L}_x$dots;$LC{L}_x$dots;

$2$ & $3$: The design team completed the design of a space station part with nominal specification of $N_{\text{S}\text{P}\text{E}\text{C}}=4\mathrm{.}3.$

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

Show:

$4$ & $5$: The design team completed the design of a space station part with nominal specification of $N_{\text{S}\text{P}\text{E}\text{C}}=4\mathrm{.}5.$

They made $4$ prototypes with measurements of $4,33,4.$ They went into production with $C_{pk}=1\mathrm{.}33.$

Show:

o $,C_p,$ USL LSL

RR

ppm

Show Production Control Chart with $n=4$; UCL $x$

; LCL ${?}_x$

RR

ppm

$6$ & $7$: The design team completed the design of a space station part with nominal specification of $N_{\text{S}\text{P}\text{E}\text{C}}=4\mathrm{.}5.$

They made $4$ prototypes with measurements of $4,4,6,4.$ They went into production with $C_{pk}=1\mathrm{.}2.$

Show:

$,C_p$

USL

LSL

RR

ppm

Show Production Control Chart with $n=4,UC{L}_x$longrightarrow; $LC{L}_x$

only solve problem $0$ and $1$ please