LACITH KUMAR Nallavell:

$800759124$

Name:

Test $3$

IE $465/$STAT $488$ Design & Control of Quality Systems

Spring $2024$

Tuesday, April $30,2024$; $10$:$00$ a$.$m$.-11$:$40$ a$.$m$.$

Problem $1$

A process is in statistical control with $\frac{?}{\text{b}\text{a}\text{r}}(\stackrel{}{x})=39\mathrm{.}7$ and $\frac{?}{\text{b}\text{a}\text{r}}(R)=3\mathrm{.}5.$ The control chart uses a sample size of $n=2.$ Specifications for the process are at $40+-5.$ The quality characteristic is normally distributed. What is the process capability ratio?