Practice Problem #$1$

Control Charts for Variables

A process that is considered to be in control measures an ingredient in ounces. Blow are the last $6$ samples taken. The population standard deviation is $1\mathrm{.}36.$

$\backslash$table$[[$Samples$],[1,2,3,4,5,6,],[10,9,13,10,12,10,],[9,9,9,10,10,10,],[10,11,10,11,9,8,],[9,11,10,10,11,12,],[12,10,9,10,10,9,]]$

sampesize $=5$

$B_3=0$

$D_u=2\mathrm{.}11$

a$)$ What is the process standard deviation? What is ox$?$

b$)$ If $z=3,$ what are the control limits for the mean chart?

c$)$ What are the control limits for the range chart?

d$)$ Is the process in control?

Practice Problem #$1$